Question

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.
The IQR is the best measurement of spread for games and movies.
The standard deviation is the best measurement of spread for games and movies.

Answer 1

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Answer 2

@Vocaloid

Answer 3

as a hint compare the symmetry of the two box plot. IQR is better when there is less symmetry in the box plot; standard deviation is better for more symmetric plots

any ideas what the solution might be based on this information?

Answer 4

so lQR

Answer 5

for which plot? movies or games?

Answer 6

games

Answer 7

notice how the basketball plot is a bit more symmetric (both halves are closer in size/length)

the movie one is assymetric (notice how the right whisker is much longer than the left whisker)

so we would predict that IQR is better for the movies

Answer 8

ohhh

Answer 9

i see now thanks