The box plots below show attendance at a local movie theater and high school basketball games: two box plots shown. The top one is labeled Movies. Minimum at 60, Q1 at 65, median at 95, Q3 at 125, maximum at 150. The bottom box plot is labeled Basketball games. Minimum at 90, Q1 at 95, median at 125, Q3 at 145, maximum at 150. Which of the following best describes how to measure the spread of the data? The IQR is a better measure of spread for movies than it is for basketball games. The standard deviation is a better measure of spread for movies than it is for basketball games.

Question

Kathleen Valenzuela

Mathematics

16 May, 02:15

The box plots below show attendance at a local movie theater and high school basketball games: two box plots shown. The top one is labeled Movies. Minimum at 60, Q1 at 65, median at 95, Q3 at 125, maximum at 150. The bottom box plot is labeled Basketball games. Minimum at 90, Q1 at 95, median at 125, Q3 at 145, maximum at 150. Which of the following best describes how to measure the spread of the data? The IQR is a better measure of spread for movies than it is for basketball games. The standard deviation is a better measure of spread for movies than it is for basketball games.

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Answers (1)

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Jane · Answer 1

We are given:

Movies data are as follows

Minimum = 60

Q1 = 65

Median = 95

Q3 = 125

Maximum = 150

For Basketball games

Minimum = 90

Q1 = 95

Median = 125

Q3 = 145

Maximum = 150

Since the data for the movies are widely spread, it is better to use the IQR.

It is better to use standard deviation for the basketball games since the data are near the mean and are not that widely spread.