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Transparency 6. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 6-3b. Objective. Construct and interpret box-and-whisker plots. Example 6-3b. Vocabulary. Lower quartile. The median of the lower half of the data set. Example 6-3b. Vocabulary. - PowerPoint PPT PresentationTRANSCRIPT
Click the mouse button or press the Click the mouse button or press the Space Bar to display the answers.Space Bar to display the answers.
Objective
Construct and interpret box-and-whisker plots
Vocabulary
Lower quartile
The median of the lower half of the data set
Vocabulary
Upper quartile
The median of the upper half of the data set
Vocabulary
Box-and-whisker plot
A diagram that summarizes data by dividing it into 4 parts
Vocabulary
Lower extreme
The least value of the data set
Vocabulary
Upper extreme
The greatest value of the data set
Vocabulary
Interquartile range
The difference between the upper quartile and the lower quartile
Example 1 Construct a Box-and-Whisker Plot
Example 2 Analyze Data
Example 3 Identify and Plot Outliers
NUTRITION The grams of fat per serving of items from the meat, poultry, and fish food group are shown in the table. Make a box-and-whisker plot of the data.
7Tuna18Ground beef 9Trout10Fried shrimp 9Sardines 3Fish sticks 5Salmon 3Crabmeat 5Roast beef16Bologna19Pork chop15Beefsteak14Ham 9 Bacon
Fat (gm)ItemFat (gm) ItemNutrition Facts
Order data from least to greatest
3, 3, 5, 5, 7, 9, 9, 9, 10, 14, 15, 16, 18, 19
1/3
3, 3, 5, 5, 7, 9, 9, 9, 10, 14, 15, 16, 18, 19
Find median
median: 9
Count the pieces of data and divide by 214 divided by 2 = 7Beginning at smallest number, underline 7 pieces of dataBeginning at largest number, underline 7 pieces of data
Circle the 2 middle numbers
Find the mean of the numbers
1/3
3, 3, 5, 5, 7, 9, 9, 9, 10, 14, 15, 16, 18, 19
lower quartile: median of lower half = 5
Find median of the first half of the dataCount the pieces of data and divide by 27 divided by 2 = 3.5Beginning at smallest number, underline 3 pieces of dataBeginning at largest number, underline 3 pieces of data
Circle the middle number that was not underlined
1/3
3, 3, 5, 5, 7, 9, 9, 9, 10, 14, 15, 16, 18, 19
lower quartile: median of lower half = 5
Find median of the second half of the dataCount the pieces of data and divide by 27 divided by 2 = 3.5Beginning at smallest number, underline 3 pieces of dataBeginning at largest number, underline 3 pieces of data
Circle the middle number that was not underlined
upper quartile:median of upper half = 15
1/3
3, 3, 5, 5, 7, 9, 9, 9, 10, 14, 15, 16, 18, 19
lower quartile: median of lower half = 5
upper quartile:median of upper half = 15
Smallest Number =
Lower Quartile =
Median =
Upper Quartile =
Largest Number =
Identify the following
3
5
9
15
19
1/3
Smallest Number =
Lower Quartile =
Median =
Upper Quartile =
Largest Number =
Identify the following
3
5
9
15
19
Draw a number line and plot the data above the number line
1/3
Draw a rectangle using the LQ and UQ for the ends
Draw a vertical line through the median
Draw a horizontal line from the lowest number to the LQ
Draw a horizontal line from the highest number to the UQ
Answer:
1/3
ATTENDANCE The number of students attending class each day are shown in the table. Make a box-and-whisker plot of the data.
Attendance
16 19 20 19 1819 20 20 17 1920 20 19 18 15
Answer:
1/3
HOCKEY The table shows the ten all-time leading scorers in the National Hockey League through a recent season. Make a box-and-whisker plot of the data.
Then use it to describe how the data are spread.
NHL Leading Scorers
Player Goals Player Goals
Wayne Gretzky
894 Steve Yzerman 645
Gordie Howe 801 Phil Esposito 717
Marcel Dionne 731 Ray Bourque 410
Mark Messler 627 Mario Lemieux 648
Ron Francis 487 Paul Coffey 396
Order data from least to greatest
396, 410, 487, 627, 645, 648, 717, 731, 801, 894
2/3
396, 410, 487, 627, 645, 648, 717, 731, 801, 894
Find median
Count the pieces of data and divide by 2
10 divided by 2 = 5
Beginning at smallest number, underline 5 pieces of data
Beginning at largest number, underline 5 pieces of dataCircle the 2 middle numbers
Find the mean of the numbers
median: 646.5
2/3
396, 410, 487, 627, 645, 648, 717, 731, 801, 894
median: 646.5
2/3
Find median of the first half of the dataCount the pieces of data and divide by 2
5 divided by 2 = 2.5Beginning at smallest number, underline 2 pieces of dataBeginning at largest number, underline 2 pieces of data
lower quartile: median of lower half = 487
Circle the middle number
396, 410, 487, 627, 645, 648, 717, 731, 801, 894
median: 646.5
2/3
Find median of the second half of the dataCount the pieces of data and divide by 2
5 divided by 2 = 2.5Beginning at smallest number, underline 2 pieces of dataBeginning at largest number, underline 2 pieces of data
lower quartile: median of lower half = 487
Circle the middle number
Upper quartile: median of upper half = 731
Smallest Number =
Lower Quartile =
Median =
Upper Quartile =
Largest Number =
Identify the following
396
487
646.5
731
894
1/3
396, 410, 487, 627, 645, 648, 717, 731, 801, 894
lower quartile: median of lower half = 487
Upper quartile: median of upper half = 731
median: 646.5
Smallest Number =
Lower Quartile =
Median =
Upper Quartile =
Largest Number =
Identify the following
396
487
646.5
731
894
1/3
Draw a number line and plot the data above the number line
1/3
Draw a rectangle using the LQ and UQ for the ends
Draw a vertical line through the median
Draw a horizontal line from the lowest number to the LQ
Draw a horizontal line from the highest number to the UQ
1/3
Describe how the data are spread.
The graph shows that ½ the players scored between 487 and 731
Answer:
COMMUTE The table below shows the commute time from home to school for fifteen middle school students. Make a box-and-whisker plot of the data. Then use it to describe how the data are spread.
Commute Time
25 14 7 18 1046 21 5 11 1823 17 9 13 12
2/3
Answer:
The graph shows that half of the students travel between 10 and 21 minutes.
The largest range of the four quartiles is from 21 to 46.
2/3
CANDY SALES Twelve members of the music club sold candy bars as a fund-raiser. The table shows the number of candy bars sold by each person. Make a box-and-whisker plot of the data.
23, 27, 39, 46, 46, 51, 53, 54, 55, 60, 69, 81
55395446
53814651
60276923
Candy Sold per Student
3/3
Order data from least to greatest
23, 27, 39, 46, 46, 51, 53, 54, 55, 60, 69, 81
3/3
Find median
Count the pieces of data and divide by 2
12 divided by 2 = 6
Beginning at smallest number, underline 6 pieces of data
Beginning at largest number, underline 6 pieces of dataCircle the 2 middle numbers
Find the mean of the numbers
median: 52
23, 27, 39, 46, 46, 51, 53, 54, 55, 60, 69, 81
3/3
Count the pieces of data and divide by 2
6 divided by 2 = 3
Beginning at smallest number, underline 3 pieces of data
Beginning at largest number, underline 3 pieces of dataCircle the 2 middle numbers
Find the mean of the numbers
median: 52
Find median of the first half of the data
lower quartile: median of lower half = 42.5
23, 27, 39, 46, 46, 51, 53, 54, 55, 60, 69, 81
3/3
Count the pieces of data and divide by 2
6 divided by 2 = 3
Beginning at smallest number, underline 3 pieces of data
Beginning at largest number, underline 3 pieces of dataCircle the 2 middle numbers
Find the mean of the numbers
median: 52
Find median of the second half of the data
lower quartile: median of lower half = 42.5
Upper quartile: median of upper half = 57.5
3/3
Identify the following
Smallest Number =
Lower Quartile =
Median =
Upper Quartile =
Largest Number =
Outlier =
23
42.5
52
57.5
81
23, 27, 39, 46, 46, 51, 53, 54, 55, 60, 69, 81
Notice there is an outlier in this data set
Plot the outlier but do not use it as the largest number in the box-and-whisker plot
81
69
3/3
Identify the following
Smallest Number =
Lower Quartile =
Median =
Upper Quartile =
Largest Number =
Outlier =
23
42.5
52
57.5
81
81
69
Draw a number line and plot the data above the number line
3/3
Draw a rectangle using the LQ and UQ for the ends
Draw a vertical line through the median
Draw a horizontal line from the lowest number to the LQ
Draw a horizontal line from the highest number to the UQ
Answer:
BASKETBALL The table below shows the number of points scored by the leading scorer of a basketball team during the past twelve games. Make a box-and-whisker plot of the data.
12 14 16 14 10 12 12 4 12 14 16 14
Points Scored
Answer:
3/3
Assignment
Lesson 2:6 Box-and-Whisker Plots 7 - 13 All