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Worksheet: Box-and-Whisker Plots

Q1:

This is a box-and-whisker plot for the test scores of a chemistry test. What is the median score?

Q2:

Using the given box-and-whisker plot, find the range of the data.

Q3:

The given box-and-whisker plot represents the test scores for a trigonometry test. Determine the percent of the scores that are greater than or equal to 95.

Q4:

Using the given box-and-whisker plot, find the interquartile range of the data.

Q5:

State if this is true or false: The value 48 is an outlier.

  • Afalse
  • Btrue

Q6:

Is half of the data in the interval 36–56?

  • Ayes
  • Bno

Q7:

Which set of data could be represented by the given box-and-whisker plot?

  • A80, 80, 78, 72, 76, 71, 76, 76
  • B78, 72, 78, 76, 76, 72, 76, 81
  • C76, 72, 76, 78, 71, 80, 73, 76
  • D72, 72, 78, 80, 78, 76, 76, 76
  • E79, 76, 76, 78, 72, 79, 80, 72

Q8:

Which of the following sets of data can be represented by this box-and-whisker plot?

  • A16, 14, 27, 20, 22, 17, 16
  • B19, 19, 17, 14, 22, 20, 21
  • C18, 19, 14, 19, 16, 22, 17
  • D17, 16, 18, 14, 20, 19, 22
  • E17, 20, 18, 19, 20, 16, 16

Q9:

Using the given box-and-whisker plot, find the range of the data.

Q10:

The given box-and-whisker plot represents the test scores for a trigonometry test. Determine the percent of the scores that are greater than or equal to 65.

Q11:

State whether the following statement is true or false: The data in the interval between the lower quartile and the median is more spread out than the data in the interval between the median and the upper quartile.

  • Afalse
  • Btrue

Q12:

State if the following is true or false: There are more data values in the interval 36–80 than there are in the interval 64–80.

  • Atrue
  • Bfalse

Q13:

Using the given double box-and-whisker plot, determine the percent of the boys and then the percent of the girls who are 66 inches or shorter.

  • A ,
  • B ,
  • C ,
  • D ,

Q14:

This double box-and-whisker plot compares the prices of books in 2 bookstores. What percent of books in bookstore B have a price of at least 90 dollars?

Q15:

This double box-and-whisker plot compares the prices of books in 2 bookstores. Which bookstore has a greater range of prices?

  • ABookstore A
  • BBookstore B

Q16:

The lower quartile, median, and upper quartile of a data set are , , and 417, respectively. In a box-and-whisker plot representing the data, the median separates the box into two equal parts. Which of the following are possible values of and ?

  • A ,
  • B ,
  • C ,
  • D ,
  • E ,

Q17:

Simon has calculated the following information from a data set about the ages of people present on a Saturday morning in a swimming pool:

lowest value: 7

lower quartile: 10

median: 15

upper quartile: 22

highest value: 31

Simon draws a box plot from the data. Which of the following box plots did Simon draw?

  • A
  • B
  • C
  • D
  • E

Q18:

Olivia counted the number of cars that were parked on her road at 8:00 pm on 11 successive days. She presented her data as a list: 3, 8, 12, 6, 5, 6, 7, 9, 4, 10, 8.

She was surprised to find that the minimum number of cars that she counted was 3 and that the maximum number of cars was 12.

Calculate the median number of cars.

Calculate the lower quartile for the number of cars.

Calculate the upper quartile for the number of cars.

Olivia draws a box plot of the data. Which of the following is correct?

  • A
  • B
  • C
  • D
  • E