SHAPES OF BOX PLOTS WORKSHEET

Problem 1 :

The box-and-whisker plot represents the prices (in dollars) of soccer balls at different sporting goods stores.

a. Find and interpret the range of the data.

b. Describe the distribution of the data.

c. Find and interpret the interquartile range of the data.

d. Are the data more spread out below Q1 or above Q3? Explain.

Solution

Problem 2 :

The double box-and-whisker plot represents the number of tornados per month for a year for two states.

a. Identify the shape of each distribution.

b. Which state’s number of tornadoes are more spread out?

c. Which state had the single least number of tornadoes in a month during the year?

Solution

Problem 3 :

a)  The interquartile range of a data is the _________ of the _______ quartile and the ________ quartile.

b)  In a box and whisker plot, the entire box represents about _______ % of the data.

c)  In a box and whisker plot, one whisker represents about _____ % of the data.

Solution

Problem 4 :

The box and whisker plots show the weights of electric handheld power blowers and gasoline handheld power blowers.

a) Compare the median, range and interquartile range for the two types of blowers.

b)  About what percent of the electric blowers are less than 7.5 pounds ? About what percent of gasoline blowers are more than 10.5 pounds ?

Solution