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