6.sp - henry county schools

Name _______________________________________ Date __________________ Class __________________

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Grade 6 65 Common Core Assessment Readiness

6.SP.1

SELECTED RESPONSE Select the correct answer.

1. Which of the following questions is

statistical?

How many hours did you sleep

last night?

How many hours did the students in

your class sleep last night?

How many hours did your friend

spend reading last night?

How many hours did your teacher

spend reading on Saturday?

2. What statement best describes the

question “How many computer games

does Christopher have right now?”

The question is statistical because it

does not involve a data set with items

that vary.

This question is statistical because

there is variation in the resulting

data set.

This is not a statistical question

because it does not involve a data

set with items that vary.

This is not a statistical question

because there is variation in the

resulting data set.

3. Nancy wants to know more about the

music her friends listen to. Which of

her questions below is NOT a

statistical question?

If I make a list of musical styles, how

many of my friends like each style?

How many songs does each of my

friends have?

What is my best friend’s

favorite song?

How many songs does each of my

friends buy in one month?

4. Mia plants 20 flowers of different types in

her garden. Which of the following

questions is NOT a statistical question

about the flowers?

What was the total cost of

the flowers?

How tall is the shortest flower?

How many of each type of flower

is there?

How many flowers have 5 petals?

Select all correct answers.

5. Glenn wants to learn more about his

classmates. Which of the following are

statistical questions that Glenn can ask?

Is Jennifer wearing glasses today?

How tall is Jeremy?

How tall are all of the students?

How many students brought lunch

today?

How old are the students?

How many students brought lunch

each day over the past month?

CONSTRUCTED RESPONSE

6. A zookeeper asks, “How many animals

were in the zoo each month of last year?”

Is this question statistical or not? Explain

your reasoning.

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Name _______________________________________ Date __________________ Class __________________



7. The following questions were asked

about Brian’s weekly exercise routine.

1. How long did Brian spend exercising

last week?

2. How long does Brian spend on each

type of exercise each week?

a. What is the difference between the

results of each question?

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b. Which question is statistical?

Explain.

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c. Rewrite the question that is not

statistical into one that is. The subject

should still be about Brian’s exercise

routine.

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8. Claire is comparing refrigerators at

an appliance store. She asks the

following questions.

1. What are the prices of the

refrigerators?

2. How much does it cost to deliver the

refrigerator?

3. What are the volumes of the

refrigerators in cubic feet?

a. State whether each question is

statistical or not. Explain.

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b. Write one statistical question,

different from the ones above, about

the refrigerators.

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c. One store has 10 refrigerators that

are the exact same model in stock. If

Claire asks how many cubic feet

each of the 10 refrigerators has, is

this a statistical question? Explain

why or why not.

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Name _______________________________________ Date __________________ Class __________________



6.SP.2


1. The test scores for a class are shown.

What is the average test score?

79, 80, 92, 92, 81, 100, 88, 98, 71, 100,

91, 90

71 90.5

88.5 92

2. Find the interquartile range of the data

displayed in the box plot shown.

9 6

7 3

3. What is the median of the data set

shown?

34, 86, 12, 56, 21, 98, 72, 34, 21, 34, 45,

23, 97, 44

34 44

39 53

4. The number of people per household for

a street with 15 houses is shown. What

statement best describes the shape of

the distribution of the data set?

Skewed right

Skewed left

Symmetric

Has two peaks


5. Which of the following statements

accurately describe the data displayed in

the dot plot shown?

The distribution is right skewed.

The distribution is left skewed.

The distribution is symmetric.

The mean is approximately 5.4.

The median is 6.

The mode is 0.


6. Gianna is keeping track of how much

money she spends each week. Her data

is shown.

$75, $123, $36, $86, $57, $89, $41, $70,

$148, $80

a. Find the median of the data set.

Show your work.

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b. Find the interquartile range of the

data set. Show your work.

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Name _______________________________________ Date __________________ Class __________________



7. James asked each of his classmates how

tall they are. The data that he collected is

shown in the plot below.

a. What is the average height of

James’s classmates? Round to the

nearest inch.

________________________________________

b. Are more of James’s classmates

taller or shorter than this average?

Explain your answer.

________________________________________

________________________________________

8. The number of runs Jackie’s baseball

team scored per game throughout a part

of one season is shown below.

3, 7, 8, 9, 2, 4, 5, 1, 0, 7, 2, 4

a. Construct a box plot from the given

data set. Show your work.

________________________________________

________________________________________

________________________________________

b. Describe the shape of the distribution

of the data set.

________________________________________

c. The median number of runs Jackie’s

rival team scored during the same

time was 5. How does Jackie’s

baseball team’s median number of

runs compare to the rival team’s

median number of runs?

________________________________________

________________________________________

9. The number of hours Linda sleeps each

night for two weeks is shown. Find the

mean absolute deviation, rounding to

the nearest whole number. Explain

how this value describes the distribution

of the data.

8, 7, 6.5, 8, 9, 10, 7.5, 9.5, 8, 9.5,

10, 7, 8, 7

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________________________________________

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10. Suzanne and Jason live on different

streets. They are collecting data on how

many gallons of water per day the

residents of their streets use. This data is

shown below.

Suzanne’s street: 100, 92, 83, 75, 95,

112, 80, 73

Jason’s street: 81, 62, 98, 74, 82, 100,

121, 93, 76, 72

a. On average, do the residents of

Suzanne’s street or Jason’s street

use more gallons of water per day?

________________________________________

________________________________________

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b. Compare the spread of the data sets

using the interquartile range.

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Name _______________________________________ Date __________________ Class __________________



6.SP.3


1. The number of touchdowns scored by

one football team in each game during a

season is shown. What was the mean of

the touchdowns the team scored during

that season?

2, 4, 1, 0, 4, 3, 2, 4, 5, 1, 0, 3, 6, 4, 2, 3

2.75 touchdowns

3 touchdowns

3.14 touchdowns

4 touchdowns

2. Jesse asked how many magazine

subscriptions each house on his street

had. These numbers are shown. What is

the interquartile range of the data set?

1, 0, 2, 3, 4, 1, 0, 0, 4, 1, 2, 2, 1

0.5 subscription

1 subscription

2 subscriptions

2.5 subscriptions

3. The number of showtimes for one movie

over several days is shown. What is the

mean absolute deviation?

9, 6, 8, 9, 7, 4, 3, 5, 2, 4

2.1 showtimes

5.5 showtimes

5.7 showtimes

11.4 showtimes


4. Which measures describe the variation in

a data set?

Mean

Median

Mode

Mean absolute deviation

Interquartile range

Range

For the data set shown, match each

measure of center or measure of variability

with its value(s).

2, 6, 8, 3, 4, 6, 2, 6, 8, 5, 6, 2, 7, 8, 4, 3, 2, 7,

3, 4


11. The daily maximum temperatures, in

degrees Fahrenheit, for one town during

one week in summer are shown below.

93, 99, 89, 76, 68, 97, 71

a. Find the mean and the mean

absolute deviation. Show your work.

Round your answers to the nearest

tenth of a degree.

________________________________________

b. Explain the difference between the

interpretations of the mean and the

mean absolute deviation. Which is a

measure of center? Which is a

measure of spread?

________________________________________

12. The data set shows the number of hours

Marissa jogs daily. What is the average

number of hours that Marissa’s jogging

times vary from her mean jogging time?

Show your work and round your final

answer to the nearest hour.

4, 4, 1, 6, 5, 4, 6, 3, 3

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_____ 5. Mean

_____ 6. Median

_____ 7. Mode(s)

_____ 8. Mean absolute

deviation

_____ 9. Interquartile range

_____ 10. Range

A 4.8

B 3.5

C 1.9

D 2 and 6

E 4.5

F 6

Name _______________________________________ Date __________________ Class __________________



13. Alex asks several households how many

cars they have. The number of cars in the

households is shown.

1, 0, 3, 2, 1, 1, 0, 2, 2, 2

a. Find the median of the data set.

________________________________________

b. Is the median a measure of center or

a measure of spread?

________________________________________

14. Sara’s basketball team has 10 players.

The number of points each player scored

during a recent game is shown.

6, 10, 12, 8, 9, 13, 15, 7, 8, 10

a. Find the median.

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b. Find the interquartile range.

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c. If the interquartile range for another

basketball team is 3 points, do the

scores tend to vary more or less than

the scores of Sara’s team? Explain

how you know.

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15. Naomi works at an ice cream shop. She

is keeping track of how many customers

come into the store every hour for one

day. Each dot on the dot plot represents

an hour period that Naomi’s shop is open.

a. What is the mean of the data

set rounded to the nearest

whole number?

________________________________________

b. What is the median of the data

set rounded to the nearest

whole number?

________________________________________

c. How can you find the mode(s) of

the data set using the dot plot?

Find the mode.

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16. Landon asks everyone in his class to pick

a number between 1 and 10. These

numbers are shown.

9, 7, 8, 3, 6, 9, 10, 5, 3, 2, 6, 9, 6, 7

Landon claims the mode is 6 and the

range is 10 1 9. Is he correct? If he is

not correct, find the correct value(s) and

show your work.

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Name _______________________________________ Date __________________ Class __________________



6.SP.4

SELECTED RESPONSE Select all correct answers.

1. Which values are needed to display a

set of data using a box plot?

Mean

Median

Mode


Lower quartile

Upper quartile

Greatest value

Least value

Select the correct answer for each

lettered part.

2. If the data shown is displayed using

a dot plot, how many dots will go over

each value?

2, 3, 7, 4, 10, 1, 3, 7, 12, 1, 10, 2, 1, 1, 3,

6, 6, 8, 9, 11, 2

a. 2 1 dot 3 dots

b. 5 0 dots 1 dot

c. 6 2 dots 3 dots

d. 9 1 dot 4 dots

Select the correct answer.

3. The amount of rainfall, in inches, for one

town is shown. If this data is displayed

using a histogram and equally sized

intervals, which intervals can be used?

1.3, 2.5, 0.6, 1.2, 1, 1.3, 0.1, 0.5, 1, 2.6,

1.8, 1.4, 2

0 to 0.9 inches and 1 to 1.9 inches

0 to 0.5 inches, 0.6 to 1.5 inches, and

1.6 to 3 inches

0 to 1 inches, 0.5 to 2 inches, and

1.5 to 3 inches

0 to 0.9 inches, 1 to 1.9 inches, and

2 to 2.9 inches

4. Which box plot correctly displays the data

set shown?

2, 5, 7, 2, 11, 13, 5, 7, 1, 10, 10, 2, 3, 5,

1, 11

5. What is the median of the data shown in

the histogram?

0 1.5

1 2

Name _______________________________________ Date __________________ Class __________________




6. Oliver owns a bicycle store. The number

of bikes that he sells each month for

18 months is shown. Use a dot plot to

display this data. What number of

bicycles sold per month was the most

frequent? Use the results from the dot

plot to explain.

5, 11, 12, 4, 9, 5, 11, 4, 10, 11, 4, 5, 10,

14, 12, 3, 5, 9

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________________________________________

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7. Jennifer is having her annual party next

week. The number of people that have

attended her last 12 parties is shown.

20, 19, 16, 22, 24, 18, 17, 22, 19, 22,

18, 18

a. Explain how to find the median of the

data set.

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________________________________________

b. Explain how to find the upper and

lower quartiles of the data set.

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________________________________________

c. Use parts a and b to display the data

using a box plot.

d. What is the interquartile range of

the data?

________________________________________

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8. Jamie asks his classmates how many

hours of television they watch daily. This

data is shown.

2, 6, 4, 1, 0, 3, 6, 2, 3, 5, 3, 1, 6, 0, 4, 6,

2, 7, 2, 2, 5

a. Use a dot plot to display the data.

b. Use a histogram with four equally

sized intervals to display the data.

c. Compare the shape of your graph

from part a with the shape of your

graph from part b. Explain why the

shapes are different.

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Name _______________________________________ Date __________________ Class __________________



6.SP.5a, 6.SP.5b


1. Colleen is training over the summer for a

triathlon. The amount of time that she

spends training daily is displayed on the

dot plot shown. How many days did

Colleen spend training?

7

8

15

The number of days cannot be

determined.

2. A traffic engineer is collecting counts of

how many cars are on one street during a

specific time each day. The results are

shown in the histogram. How many days

did the traffic engineer collect data?

13

38

74

The number of days cannot be

determined.

3. The dean of a university is looking at the

number of students who were enrolled in

school during previous years. This data is

shown in the table. What do the data

values represent?

The average number of students

enrolled in school each year

The most number of students

enrolled in school between the years

2000 and 2008

The number of students enrolled in

school each month

The number of students enrolled in

school each year


4. Roberto asks “How old are you?” to each

of his classmates, and then records the

data he receives. Which units can

Roberto use to record his data?

Days

Inches

Grams

Months

Years

Year Students Enrolled

2000 700

2001 841

2002 978

2003 1,200

2004 1,345

2005 1,498

2006 1,612

2007 1,766

2008 2,000

Name _______________________________________ Date __________________ Class __________________




5. Three different data sets are displayed on

the following graphs. Can the number of

observations in each data set be

determined from its graph? If so, give the

number of observations. If not, explain.

a.

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b.

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c.

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6. Frank is moving to a different city and

needs to rent an apartment. He asks

several realtors in the city about available

apartments. The dot plot shows the data

he gathered for these apartments. What

does each dot represent? In what units

are the data values measured?

________________________________________

________________________________________

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7. Gabrielle collected the heights, in inches,

of her coworkers. This data is shown.

65, 70, 60, 58, 60, 63, 65, 66, 72, 72, 63,

62, 63, 66, 63, 68, 68, 66

a. Construct a dot plot of the data

Gabrielle collected.

b. What does each dot in the dot

plot represent?

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________________________________________

c. Find the height of the tallest and

shortest coworker. What are the units

of measurements?

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d. Can Gabrielle use a different unit of

measurement when collecting her

data? Explain.

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Name _______________________________________ Date __________________ Class __________________



6.SP.5c

SELECTED RESPONSE Select all correct answers.

1. The dot plot shown displays the amount

of money, in millions of dollars, that

different companies spend on television

advertising in one year. Which of the

following statements describe the

data set?

The overall pattern of the distribution

is skewed left.


is skewed right.


is symmetric.

The average amount spent on

television advertising is $10.10.

The average amount spent on

television advertising is $10.1 million.

The median amount spent on

television advertising is $10.50.

The median amount spent on

television advertising is $10.5 million.

Select the correct answer.

2. Lianna planted several plants in her

garden. The heights, in centimeters, of

these plants after one month are shown.

What is the mean height of Lianna’s

plants? Round your answer to the

nearest tenth of a centimeter.

6, 9, 5.1, 12.8, 7.3, 16, 14.8, 9, 11.7, 12.4

6.0 centimeters

9.5 centimeters

10.4 centimeters

16.0 centimeters

3. Ina wants to buy a new computer, so she

compares the prices of different

computers. Her results are shown in

the box plot, in hundreds of dollars.

What is the interquartile range of the

prices for computers?

$5.00

$12.50

$500.00

$1,250.00

4. Fred asked each of his classmates how

many times they went to the beach over

summer break. He displayed the data

using the histogram shown. Which

statement best describes the pattern of

the distribution?

Skewed left with one deviation from

the overall pattern at the value 0

Skewed left with no deviations from

the overall pattern

Skewed right with one deviation from

the overall pattern at the value 0

Skewed right with no deviations from

the overall pattern

Price ($100)

Name _______________________________________ Date __________________ Class __________________



Using the data set shown, match the

measures of center and spread with their

corresponding values. Round answers to

the nearest tenth as needed.

3, 7, 9, 2, 11, 6, 13, 12, 15, 9, 3, 6, 13, 9,

10, 5


11. Shawn is researching the daily fiber

intake, in grams, of a group of people. His

findings are listed below. Construct a

histogram to display the data, using four

equally sized intervals. Describe the

overall pattern of the distribution.

33, 29, 16, 20, 9, 31, 23, 10, 14, 28, 17,

21, 16, 22, 29, 23, 32, 28

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________________________________________

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12. Elijah works for a local car dealership. To

make sure their customers are satisfied

with the service, Elijah surveys a group of

customers after their visit. The survey

asks the customers to rate their service

on a scale from 0 to 10, with 0 being the

worst and 10 being the best. The survey

results are shown.

3, 6, 9, 0, 4, 10, 9, 8, 4, 6, 6, 7, 9, 10, 5

a. Find the mode or modes of the

dealership’s ratings.

________________________________________

b. Find the dealership’s average rating.

Is this value above or below the

median rating?

________________________________________

________________________________________

13. A company is hiring for positions that

require experience in biology. The years

of experience in biology for several

applicants are given.

2, 1, 3, 6, 2, 11, 0, 1, 5, 7, 3, 0, 4, 0, 2,

11, 1, 0

a. What is the range of years of

experience the applicants have?

________________________________________

b. Construct a dot plot using the

given data.

c. Describe the overall pattern of the

distribution, including any deviations

from the overall pattern.

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________________________________________

________________________________________

____ 5. Mean

____ 6. Median

____ 7. Mode

____ 8. Range

____ 9. Mean absolute

deviation

____ 10. Interquartile range

A 3.3

B 6.0

C 7.0

D 8.3

E 9.0

F 12.0

G 13.0

Name _______________________________________ Date __________________ Class __________________



6.SP.5d


1. Does the mean or median best describe

a typical value in the data set shown?

19, 18, 19, 18, 19, 19, 1, 19, 18, 19, 18

Mean

Median

Neither describe a value in the

data well.

Both describe a value in the

data well.

2. The dot plot shown displays the heights,

in inches, of the students in one class.

Which measure of variability best

describes how spread out the heights of

the students are?

Mean

Median


Interquartile range

3. The exam scores from the most recent

math test are shown. What is the value of

the measure that best describes a typical

exam score? Round your answer to the

nearest whole number.

93, 88, 76, 91, 92, 96, 100, 96, 74, 89,

94, 91

90

91.5

96

100

4. What measure best describes the

variability of the data set displayed using

the box plot shown?

Mean

Median


Interquartile range

5. The number of miles Cynthia travels each

day is shown. What are the values of the

measures of center and variability that

best describe the data set?

57, 40, 35, 60, 56, 57, 59

The mean 52 miles and the mean

absolute deviation about 8 miles

The median 57 miles and the

interquartile range 19 miles

The mean 57 miles and the mean

absolute deviation 19 miles

The median 52 miles and the

interquartile range about 8 miles


6. Which measures of center and variability

best describe the data set shown?

17, 19, 15, 12, 10, 21, 2, 16, 18, 19, 20,

16, 11, 12, 17

Mean

Median

Mode


Interquartile range

Range

Name _______________________________________ Date __________________ Class __________________


Grade 6 Teacher Guide 66 Common Core Assessment Readiness


7. Hector is selling some of his books. The

prices for each book are shown.

$4.50, $5.50, $4.00, $3.00, $2.50,

$4.50, $2.50, $1.50, $2.00, $4.00,

$4.00, $3.00, $4.50

a. Find the mean absolute deviation of

the book prices.

________________________________________

b. Find the interquartile range of the

book prices.

________________________________________

c. Which measure best describes the

variability of the prices of Hector’s

books? Explain.

________________________________________

________________________________________

________________________________________

8. Jocelyn is studying the traffic flow at a

certain intersection in the city. The

approximate number of cars, in

thousands, that pass through the

intersection daily are shown.

9, 10, 11, 12, 11, 13, 12, 13, 8, 14, 11, 9,

10, 11

a. Find the mean of the data set. Round

to the nearest thousand as needed.

________________________________________

b. Find the median of the data set.

Round to the nearest thousand

as needed.

________________________________________

c. Which measure best describes the

typical number of cars passing

through the intersection? Explain.

________________________________________

________________________________________

________________________________________

9. What measures of center and variability

best describe the data set displayed in

the histogram? Explain.

________________________________________

________________________________________

10. The salaries, in thousands of dollars,

of different workers at a company

are shown.

41, 39, 42, 41, 40, 41, 42, 43, 40, 41

a. Construct a dot plot using the

given data.

b. Describe the overall shape of the

distribution of the data. What does

this tell you about the measure of

center that best describes the

data set?

________________________________________

________________________________________

c. Calculate and interpret all

appropriate measures of center and

variability to describe the data set.

Round your answers to the nearest

dollar as needed.

________________________________________

________________________________________

________________________________________

Name _______________________________________ Date __________________ Class __________________



6.SP.1 Answers

1. B

2. C

3. C

4. A

5. C, E, F

6. This is a statistical question because the

number of animals in the zoo each month

can vary.

Rubric

1 point for answer; 1 point for explanation

7. a. Question 1 results in a single value:

the number of hours Brian spent

exercising last week. Question 2

results in a set of data: the number of

hours Brian spends on each different

type of exercise each week.

b. Question 2 is a statistical question

because it results in a data set

that varies.

c. Possible answer: How long does

Brian spend exercising each day for

30 days?

Rubric

a. 1 point

b. 1 point for answer;

1 point for explanation

c. 1 point for reasonable

statistical question

8. a. Questions 1 and 3 are statistical

questions because the refrigerators

probably have different prices and

sizes, so there is variation in the data.

Question 2 is not statistical because it

results in one value that does not vary.

b. Possible answer:

How much power does each

refrigerator use?

c. No; since all 10 refrigerators are the

same model, all of their measurements

will be exactly the same. This is not a

question about a data set that varies.

Rubric

a. 1 point for answer;


b. 1 point for reasonable question

c. 1 point for answer;




6.SP.2 Answers

1. B

2. C

3. B

4. A

5. B, D, E

6. a. To find the median of the data set, first

put the data values in order from least

to greatest.

$36, $41, $57, $70, $75, $80, $86,

$89, $123, $148

There are two middle values of the

ordered data set, so the median is the

average of the two values.

75 + 80

2= 77.5

So, the median value is $77.50.

b. The upper quartile is $89 and the

lower quartile is $57. So, the

interquartile range is 89 57 $32.

Rubric

a. 1 point for answer; 1 point for

reasonable work

b. 1 point for answer; 1 point for

reasonable work

7. a. 54 inches

b. The majority of James’s classmates

are shorter than the average height;

8 are shorter and 6 are taller.

Rubric

a. 1 point



8. a. First, order the values in the data set

from least to greatest.

0, 1, 2, 2, 3, 4, 4, 5, 7, 7, 8, 9

The least value is 0 and the greatest

value is 9.

The median is

4 + 4

2= 4.

The lower quartile is

2 + 2

2= 2 and the

upper quartile is

7 + 7

2= 7.

b. The distribution is roughly symmetric.

c. The median number of runs Jackie’s

team scored was 4. So, Jackie’s

rivals had a higher median number

of runs, 5.

Rubric

a. 2 points for graph; 1 point for

appropriate work

b. 1 point

c. 1 point



9. To find the mean absolute deviation, first

find the mean of the data set. Round to

the nearest whole number.

8 + 7 + 6.5 + 8 + 9 +10 + 7.5 + 9.5 + 8 + 9.5 +10 + 7 + 8 + 7

14=

115

14» 8

The mean of the data set is about 8

hours. Use this to find the mean absolute

deviation.

0 +1+1.5 + 0 +1+ 2 + 0.5 +1.5 + 0 +1.5 + 2 +1+ 0 +1

14»1

The mean absolute deviation is the mean

distance from each data value to the

mean of the data set. So, the number of

hours Linda sleeps each night is an

average of 1 hour from the average

number of hours she sleeps.

Rubric

1 point for mean; 1 point for mean

absolute deviation; 1 point for explanation

of distribution

10. a. The residents of Suzanne’s street use

an average of 88.75 gallons of water

per day.

100 + 92 + 83 + 75 + 95 +112 + 80 + 73

8=

710

8= 88.75

The residents of Jason’s street use an

average of 85.9 gallons of water per

day.

81+ 62 + 98 + 74 + 82 +100 +121+ 93 + 76 + 72

10=

859

10= 85.9

So, the residents of Suzanne’s street

use more gallons of water per day on

average.

b. First, put the data sets in order.

Suzanne’s street: 73, 75, 80, 83, 92,

95, 100, 112

Jason’s street: 62, 72, 74, 76, 81, 82,

93, 98, 100, 121

For Suzanne’s data set, the lower

quartile is

75 + 80

2= 77.5 gallons per

day and the upper quartile is

95 +100

2= 97.5 gallons per day. So,

the interquartile range is

97.5 77.5 20 gallons per day.

For Jason’s data set, the lower quartile

is 74 gallons per day and the upper

quartile is

98 gallons per day. So, the

interquartile range is 98 74 24

gallons per day.

The interquartile range for Jason’s

data set is greater than the

interquartile range for Suzanne’s data

set. So, the middle half of the water

usage values in Jason’s data set is

more spread out than in Suzanne’s

data set.

Rubric

a. 1 point for answer; 1 point for mean of

Suzanne’s data; 1 point for mean of

Jason’s data

b. 1 point for interquartile range for

Suzanne’s data; 1 point for

interquartile range for Jason’s data; 1

point for comparing spread



6.SP.3 Answers

1. A

2. C

3. A

4. D, E, F

5. A

6. E

7. D

8. C

9. B

10. F

11. a.

93 + 99 + 89 + 76 + 68 + 97 + 71

7=

593

7» 84.7

The mean temperature is about 84.7

F.

8.3 +14.3 + 4.3 + 8.7 +16.7 +12.3 +13.7

7=

78.3

7» 11.2

The mean absolute deviation is about

11.2 F.

b. The mean is the average temperature

of all the temperatures in the data set.

The mean absolute deviation is the

mean distance between all of the

temperatures in the data set and the

average temperature. The mean is a

measure of center, and the mean

absolute deviation is a measure of

spread.

Rubric

a. 1 point for mean; 1 point for mean

absolute deviation

b. 2 points

12. The mean absolute deviation measures

the average variation between the

number of hours Marissa jogs and her

mean jogging time.

To find the mean absolute deviation, first

find the mean.

4 + 4 +1+ 6 + 5 + 4 + 6 + 3 + 3

9=

36

9= 4

The mean is 4 hours.

0 + 0 + 3 + 2 +1+ 0 + 2 +1+1

9=

10

9» 1

The mean absolute deviation is about 1

hour.

So, the average number of hours that

Marissa’s jogging times vary from her

average jogging time is about 1 hour.

Rubric

1 point for answer; 1 point for using mean

absolute deviation; 1 point for work



13. a. 1.5 cars

b. The median is a measure of center.

Rubric

1 point for each part

14. a. First, order the data values from least

to greatest.

6, 7, 8, 8, 9, 10, 10, 12, 13, 15

The median number of points per

game per player is

9 +10

2= 9.5.

b. The upper quartile is 12 points and the

lower quartile is 8 points. So, the

interquartile range is 12 8 4 points.

c. The interquartile range for Sara’s team

is 4 points, which is more than the

interquartile range of the other team.

This means that the scores of Sara’s

team tend to vary more.

Rubric

a. 1 point

b. 1 point

c. 1 point for noting that Sara’s team has

more variation in scores; 1 point for

explanation

15. a.

4 + 5 + 5 + 6 + 6 + 6 + 8 +11+12 +12 +13 +15

12=

103

12» 9

The mean is about 9 customers per

hour.

b. The median is

6 + 8

2= 7 customers per

hour.

c. The mode is the value(s) that appears

most often in the data set. Using a dot

plot, the mode corresponds to the

value with the tallest stack of dots. So,

the mode of this data set is 6

customers per hour.

Rubric

a. 1 point

b. 1 point

c. 1 point for explanation; 1 point for

mode

16. No, neither claim is correct.

The mode is the value that appears most

often in the data set. Two values, 6 and

9,

both appear 3 times. Landon was correct

in finding 6 as a mode, but 9 is also a

mode of

the data set.

The range is the difference between the

least and the greatest values in the data

set. Landon asked for numbers between

1 and 10, but no one chose the number

1, so the least value in the data set is 2,

not 1. So, the range is 10 2 8.

Rubric

1 point for saying he is incorrect; 1 point

for correct mode; 1 point for correct

range; 2 points for work



6.SP.4 Answers

1. B, E, F, G, H

2. a. 3 dots

b. 0 dots

c. 2 dots

d. 1 dot

3. D

4. A

5. B

6.

The value with the highest number of

dots above it in the dot plot is 5. So,

5 bicycles per month was the most

frequent number of bicycles sold.

Rubric

2 points for graph;

1 point for most frequent

7. a. The median is the middle value in the

data set.

First, order the values from least to

greatest.

16, 17, 18, 18, 18, 19, 19, 20, 22, 22,

22, 24

Since there are two middle values, the

median is the average of the 2:

19 +19

2= 19 people.

b. The upper quartile is the median of the

upper half of the data. The upper half

of the data is 19, 20, 22, 22, 22, 24.

The median of this half is

22 + 22

2= 22 people.

The lower quartile is the median of the

lower half of the data. The lower half of

the data is 16, 17, 18, 18, 18, 19. The

median of this half is

18 +18

2= 18 people.

c.

d. The interquartile range is

22 18 4 people.

Rubric

a. 1 point

b. 1 point

c. 2 points

d. 1 point for interquartile range



8. a.

b.

c. Possible answer:

The dot plot displays the frequency of

every value in the data set and the

histogram groups the values into four

equally sized intervals and displays

the frequency of each interval. The

dot plot shows there are peaks at

2 hours and 6 hours while the

histogram shows there is a peak for

the 2 to 3 hours interval.

Rubric

a. 2 points

b. 2 points

c. 1 point for comparison; 1 point for

explanation



6.SP.5a, 6.SP.5b Answers

1. C

2. B

3. D

4. A, D, E

5. a. Yes; 25

b. Yes; 27

c. No; a box plot shows the least and

greatest values and the three

quartiles. It does not show the number

of observations in the data set.

Rubric

a. 1 point for answer;

0.5 point for number of observations


0.5 point for number of observations

c. 1 point for answer;


6. Each dot represents an apartment with a

certain amount of living space. The

values are measured in square feet.

Rubric

1 point for each

7. a.

b. Each dot represents the height,

in inches, of one of Gabrielle’s

coworkers.

c. The tallest coworker is 72 inches

tall and the shortest coworker is

58 inches tall.

d. Yes;

Possible answer: Gabrielle can

collect the heights of her coworkers

in centimeters.

Rubric

a. 2 points

b. 1 point

c. 1 point

d. 1 point



6.SP.5c Answers

1. C, E, G

2. C

3. C

4. A

5. D

6. E

7. E

8. G

9. A

10. B

11.

The overall distribution is symmetric.

Rubric

2 points for graph;

1 point for pattern of distribution

12. a. 6 and 9

b. 6.4; the median rating is 6, so the

average rating is above the median.

Rubric

a. 1 point

b. 1 point for each

13. a. The range is 11 0 11 years.

b.

c. The overall pattern of the distribution is

skewed right. There is a deviation from

the pattern at 11 years, which has a

frequency of 2 applicants.

Rubric

a. 1 point

b. 2 points

c. 1 point



6.SP.5d Answers

1. B

2. C

3. B

4. D

5. B

6. B, E

7. a. First, find the mean of the data set.

4.5 + 5.5 + 4 + 3 + 2.5 + 4.5 + 2.5 +1.5 + 2 + 4 + 4 + 3 + 4.5

13=

45.5

13= 3.5

So, the mean book price is $3.50.

Then, find the mean absolute deviation

of the data set.

1+ 2 + 0.5 + 0.5 +1+1+1+ 2 +1.5 + 0.5 + 0.5 + 0.5 +1

13=

13

13= 1

So, the mean absolute deviation of the

book prices is $1.00.

b. First, order the data values from least

to greatest.

$1.50, $2.00, $2.50, $2.50, $3.00,

$3.00, $4.00, $4.00, $4.00, $4.50,

$4.50, $4.50, $5.50

The upper quartile is

4.5 + 4.5

2= 4.5

and the lower quartile is

2.5 + 2.5

2= 2.5. So, the interquartile

range is 4.5 2.5 $2.00.

c. Look at the numbers of book prices

within 1 mean absolute deviation of

the mean. There are more prices

between $3.50 and $4.50 than

between $2.50 and $3.50. So, the

overall shape of the distribution of the

book prices is skewed left. Since the

data is not symmetric, the interquartile

range best describes the variability of

the book prices.

Rubric

a. 1 point

b. 1 point

c. 1 point for answer; 1 point for

explanation

8. a. The mean of the data set is 11,000

cars.

9 +10 +11+12 +11+13 +12 +13 + 8 +14 +11+ 9 +10 +11

14=

154

14= 11

b. To find the median of the data set, first

order the data values from least to

greatest.

8, 9, 9, 10, 10, 11, 11, 11, 11, 12, 12,

13, 13, 14

So, the median is 11,000 cars.

c. The overall shape of the distribution of

the data set is symmetric. So, the

mean and

the median are equally good

descriptions of the typical number of

cars passing through the intersection.



Rubric

a. 1 point

b. 1 point

c. 1 point for answer; 1 point for

explanation

9. The overall shape of the distribution is

skewed right, so median and interquartile

range best describe the data set.

Rubric

0.5 point for each measure; 1 point for

explanation

10. a.

b. Since the overall shape of the

distribution of the data set is

symmetric, the mean and the median

are equally good descriptions of the

salaries of the workers at the

company.

c. Using the mean and the mean

absolute deviation:

41+ 39 + 42 + 41+ 40 + 41+ 42 + 43 + 40 + 41

10=

410

10= 41

The mean of the data set is $41,000.

This describes the typical salary of the

workers.

0 + 2 +1+ 0 +1+ 0 +1+ 2 +1+ 0

10=

8

10= 0.8

The mean absolute deviation of the

data set is about $800. This describes

the variability of the salaries of the

workers.

Using the median and the interquartile

range:

Order the data.

39, 40, 40, 41, 41, 41, 41, 42, 42, 43

The median of the data set is

41+ 41

2= 41, so the typical salary of

the workers is $41,000.

The upper quartile is 42 and the lower

quartile is 40, so the interquartile

range is

42 40 2, or $2,000. This describes

the variability of the salaries of the

workers.

Rubric

a. 1 point

b. 1 point for each

c. 1 point for each value; 1 point for each

interpretation

6.sp - henry county schools

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