start your day the right way - edl€¦ · start your day the right way graphically representing...

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Chapter 8 Assignments 97

8Lesson 8.1 Assignment

Name Date

Start Your Day the Right WayGraphically Representing Data

1. Mr. Follweiller finished grading the quizzes for one of his Algebra 1 classes. The table shown is the recorded grades of the class.

Student Grade Student Grade

A 85 N 53

B 89 O 71

C 66 P 90

D 74 Q 65

E 77 R 55

F 72 S 98

G 64 T 53

H 55 U 62

I 61 V 55

J 52 W 64

K 81 X 62

L 61 Y 56

M 71 Z 87

a. Mr. Follweiller is worried that his students may not have understood the material covered on the quiz. He would like to get a better idea of how the class did as a whole. Would you recommend that he make a dot plot, a box-and-whisker plot, or a histogram to display this data? Explain your reasoning.

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98 Chapter 8 Assignments

8b. Construct a dot plot and histogram of the data in the table.

c. Describe the distributions of the graphs. What do you notice?

d. What information does the dot plot provide that the histogram does not?

e. The students argue that more than half the students failed the quiz, so they think Mr. Follweiller should let them retake it. A grade of 56 is failing.

Construct a box-and-whisker plot of the data.

Lesson 8.1 Assignment page 2

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8Lesson 8.1 Assignment page 3

Name Date

f. Describe the distribution of the box-and-whisker plot. Explain what it means in terms of this problem situation.

g. Are the students correct? Explain your reasoning.

2. The student government is gearing up for their next semi-annual bake sale. The graph shown displays the cookie sales at the last 31 bake sales.

Number of Cookies Sold (dozens)

Cookie Sales

Num

ber

of B

ake

Sal

es

5 10 15 20 25 300

1

2

3

4

5

6

7

8

9

10

a. At how many bake sales did the student government sell 18 dozen cookies? Explain how you determined your answer.

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8b. At how many bake sales did the student government sell at least 20 dozen, but less than 25

dozen cookies? Explain how you determined your answer.

c. Describe the distribution of the graph. Explain what this means in terms of the problem situation.

d. How many dozen cookies would you recommend the student government bake for the upcoming bake sale? Explain your reasoning.


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Name Date

Which Measure Is Better?Determining the Best Measure of Center for a Data Set

1. In a constant effort to improve service, WeSellItAll.com asks its clients to rate their online shopping experience by giving it a rating from 1 star to 10 stars. A rating of 1 star represents a poor experience, and a rating of 10 stars represents an excellent experience.

The ratings for one day last month are shown in the dot plot.

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XXXX

XXXXX

XXXXXX

XX

XX

XX

X XXXXXXXXXXX

XXXXXXXX

XXXXXXXXXX

1 2 3 4 5 6 7 8 9Number of Stars

10

a. Describe the distribution of the dot plot.

b. How do you think the mean and median of the data set will compare? Explain your reasoning.

c. Calculate the mean and median. Explain what they mean in terms of the problem situation.

d. Which measure of center do you think best represents this data? Explain your reasoning.

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8 2. The ratings of online shopping experience for 2 separate days are shown in the box-and-whisker

plots. A rating of 1 star represents a poor experience, and a rating of 10 stars represents an excellent experience.

1 3 4 520 7 9 1086

Day 1

Day 2

Number of Stars

a. Compare the box-and-whisker plots. Explain what the shapes of the box-and-whisker plots say about the ratings on each day.

b. Determine and compare the median for both days.

c. How will the means compare to the medians on each of the days? Explain your reasoning.

d. How will the means for each day compare to each other? Explain your reasoning.


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8

You Are Too Far Away!Calculating IQR and Identifying Outliers

1. The table shows the average monthly precipitation in millimeters during the summer for the Southern states.

StateAverageMonthlySummer

Precipitation(mm)State

AverageMonthlySummerPrecipitation(mm)

Alabama 117 Mississippi 109

Arkansas 91 North Carolina 122

Delaware 103 Oklahoma 82

Florida 181 South Carolina 128

Georgia 120 Tennessee 107

Kentucky 106 Texas 69

Louisiana 125 Virginia 101

Maryland 101 West Virginia 111

a. Construct a box-and-whisker plot of the data.

b. Which measure of center best represents this data? Explain how you determined your answer.

Lesson 8.3 Assignment

Name Date

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8 Lesson 8.3 Assignment page 2

c. Determine whether or not there are any outliers. Show your work.

d. Reconstruct the box-and-whisker plot to show any outliers.

2. The five number summaries for the average monthly precipitation in millimeters during the summer for the Western and Midwestern states are provided.

West Midwest

Min 5 7 Min 5 68

Q1 5 22 Q1 5 81.5

Med 5 33 Med 5 99.5

Q3 5 49 Q3 5 102.5

Max 5 107 Max 5 111

a. Construct box-and-whisker plots of each area’s monthly precipitation using the same number line for each.

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Name Date

b. Describe the distribution of both box-and-whisker plots and explain what they mean in terms of the problem situation.

c. Determine if there are outliers in either data set. Show your work and explain how you determined your answer.

d. Chen is considering a long camping trip this summer and hopes to avoid the rain. Would you recommend that he camp in the West or the Midwest? Explain your reasoning.

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Name Date

Whose Scores Are Better?Calculating and Interpreting Standard Deviation

1. Dannette and Alphonso work for a computer repair company. They must include the time it takes to complete each repair in their repair log book. The dot plots below show the number of hours each of their last 12 repairs took.

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XX

X X XX

XX

1 2 3 4 5 6 7 8 9Repair Time (hours)

10 11 12

Dannette’s Repair Times

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XXXX

XXXX

XX

XX

1 2 3 4 5 6 7 8 9Repair Time (hours)

10 11 12

Alphonso’s Repair Times

a. Predict whether Dannette or Alphonso has the greater standard deviation in their repair times. Explain your reasoning.

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b. Determine the standard deviation for Dannette and Alphonso. Round your answers to the nearest tenth. Explain what the standard deviations mean in terms of the problem situation.

c. What other factors might affect repair times?

d. Which repair person would you ask to fix your computer if you were in a hurry to have it repaired? Explain your reasoning.

e. The owner of the computer repair company says that he will start giving bonuses to the employees who repair computers quickly. Should the owner look at the mean, median, or standard deviation when determining who gets a bonus? Explain your reasoning.

f. Alphonso explains to his boss that his average repair time does not accurately reflect how fast he is, because he had a very difficult repair that took over 10 hours.

Is the repair that took over 10 hours an outlier? Explain your reasoning.

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Name Date

g. Calculate and compare the mean and standard deviation for Alphonso’s repair times with and without the repair that took over 10 hours.

h. Is Alphonso correct in his explanation to his boss? Why or why not?

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8

Putting the Pieces TogetherAnalyzing and Interpreting Data

1. The table below shows the approximate amount of protein in 1 ounce of a variety of nuts, seeds, and cheeses.

NutorSeedProteinAmountin1ounce(grams)

CheeseProteinAmountin1ounce(grams)

Acorns 2.1 Blue cheese 6.1

Almonds 6.0 Brick 6.6

Brazil nuts 4.0 Chesire 6.6

Butternut Tree Seeds

2.4 Colby 6.7

Cashews 4.2 Cream cheese 2.1

Ginkgo nuts 2.9 Feta 4.0

Hazelnuts 4.2 Goat 8.7

Hickory nuts 3.5 Gruyere 8.5

Macadamia nuts 2.2 Limburger 5.7

Peanuts 6.6 Mexican 6.0

Pecans 2.6 Muenster 6.6

Pistachio nuts 6.1 Processed Cheese Spread 4.6

Pumpkin seeds 6.6 Parmesan 10.9

Sesame seeds 4.8 Romano 9.0

Sunflower seeds 5.4 Ricotta 3.2

Walnuts 6.6 Swiss 7.6

Lesson 8.5 Assignment

Name Date

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a. Analyze the data.

Construct a stem-and-leaf plot of the cheese data.

b. Describe the distribution of the stem-and-leaf plot.

c. Based on the shape of the data, identify the appropriate measures of center and spread for the data.

d. Calculate the measures of center and spread you described in part (c).

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Name Date

e. Construct a side-by-side stem-and-leaf plot of the nut/seed and cheese data.

f. Describe the distribution of the nuts and seeds data. Identify the most appropriate measures of center and spread from these data.

g. Calculate the measures of center and spread you identified in part (a) for the nuts and seeds data and the cheeses data.

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h. What conclusions can you draw from the measures of central tendency and spread you calculated?

i. Gerry would like to increase the amount of non-meat protein in his diet. Would you recommend that he eat more nuts and seeds or more cheese? Explain your reasoning.

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