Box Plots - assignment, quiz

The data set below represents the total number of home runs that a baseball player hit each season for 11 seasons of play. What is the interquartile range of the data?

14, 22, 19, 21, 30, 32, 25, 15, 16, 27, 28

* 12

Which data sets have outliers? Check all that apply.

14, 21, 24, 25, 27, 32, 35

15, 30, 35, 41, 44, 50, 78

16, 32, 38, 39, 41, 42, 58

17, 23, 28, 31, 39, 45, 75

18, 30, 34, 38, 43, 45, 68

* 16, 32, 38, 39, 41, 42, 58 (16 & 58)

* 18, 30, 34, 38, 43, 45, 68 (68)

The data set below represents the number of televisions repaired in a service shop over an 11-week period.

1, 48, 50, 25, 21, 19, 26, 30, 18, 17, 3

Find the outlier.

* 50

If a data set has only one outlier, which value will always change when the outlier is excluded?

the median

the range

the interquartile range

the upper quartile

* the range

Charles wants to analyze his last 9 months of math test scores with a box plot to see how spread out they are.

92 86 80 94 90 84 87 91 100

Arrange the scores in lowest to highest order.

* 80 84 86 87 90 91 92 94 100

* the median is 90

Q1 = 85 (84+86=170/2)

Q3 = 93 (92+94=186/2)

IQR = 8 (93-85)

range = 20 (100-80)

Two students compared the scores on their math tests. Their results on 9 tests are shown in the box plots below.

Compare the box plots. Which statements are true? Check all that apply.

*Ben has the smaller range of test scores.

*The lower quartile and upper quartile of Nadia's data are both higher than the lower quartile and upper quartile of Ben's data.

*The median of Nadia's data is equal to the median of Ben's data.

*Nadia had the highest score on a test.

*Ben's lowest score was equal to Nadia's lowest score.

* The median of Nadia's data is equal to the median of Ben's data.

* Nadia had the highest score on a test.

A football coach compared the yards per game of two of his running backs over the course of 10 games. Based on the data represented in the box plots, which football player had greater success during the 10 games?

*Nasir was more successful because he had the greatest number of yards in one game.

*Aaron was more successful because he had the greater total spread.

*Nasir was more successful because he had the greater measure of center.

*Aaron was more successful because he had an outlier.

* Nasir was more successful because he had the greater measure of center.

A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?

*23

Which statement is true about the box plots?

(about Marc and Sue's classes wrong test answers)

* The ranges for the box plots are the same, but their interquartile ranges are different.

The data set below has a lower quartile of 13 and an upper quartile of 37.

1, 12, 13, 15, 18, 20, 35, 37, 40, 78

Which statement is true about any outliers of the data set?

*The data set does not have any outliers.

*The lowest value, 1, is the only outlier.

*The greatest value, 78, is the only outlier.

*Both 1 and 78 are outliers.

* The greatest value, 78, is the only outlier.

The box plot represents the number of minutes it takes for the students in a class to run a mile.

What is the minimum of the data?

0

5

7

13

*5

The data set represents the number of miles Mary jogged each day for the past nine days.

6, 7, 5, 0, 6, 12, 8, 6, 9

What is the outlier of the data?

* zero

Which statement is true about the ranges for the box plots?

Number of sales in morning and afternoon

Morning = 3-15

Afternoon = 4-16

(range 12 for both)

* The range of the Morning box plot is the same as the range of the Afternoon box plot.

The box plots compare the number of students in Mr. Ishimoto's classes and in Ms. Castillo's classes over the last two semesters.

Which statement is true about the box plots? Select three options.

*Both box plots show the same range.

*Both box plots show the same interquartile range.

*The data for Mr. Ishimoto has an outlier.

*Mr. Ishimoto had the class with the greatest number of students.

*The smallest class size was 24 students.

* Both box plots show the same range.

* Mr. Ishimoto had the class with the greatest number of students.

* The smallest class size was 24 students.

The interquartile range of the data set is 4.

2, 2, 3, 3, 4, 5, 5, 6, 7, 9, 12

Which explains whether or not 12 is an outlier?

*Twelve is an outlier because it is greater than the sum of 7 and 4.

*Twelve is an outlier because it is less than the sum of 7 and 6.

*Twelve is not an outlier because it is greater than the sum of 7 and 4.

*Twelve is not an outlier because it is less than the sum of 7 and 6.

*Twelve is not an outlier because it is less than the sum of 7 and 6.

The data set represents the total number of tuba players in each of 11 different school bands.

0, 1, 3, 3, 4, 4, 4, 5, 6, 6, 8

What is the lower quartile of the data?

* 3

A variety of two types of snack packs are delivered to a store. The box plots compare the number of calories in each snack pack of crackers to the number of calories in each snack pack of trail mix.

Which statement is true about the box plots?

*The interquartile range of the trail mix data is greater than the range of the cracker data.

*The value 70 is an outlier in the trail mix data.

*The upper quartile of the trail mix data is equal to the maximum value of the cracker data.

*The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers.

*The interquartile range of the trail mix data is greater than the range of the cracker data.

The box plot represents the number of minutes customers spend on hold when calling a company.

What is the upper quartile of the data?

*3

*5

*6

*8

*6