The box plots show attendance at a local movie theater and high school basketball games:
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
the correct answer is c.
It's not the first one i just took the test.
To measure the spread of data, we can consider different measures such as the Interquartile Range (IQR) and the standard deviation.
The IQR is the range between the 25th percentile (Q1) and the 75th percentile (Q3) of the data. It gives us a measure of the spread of the middle 50% of the data. In this case, the IQR is being compared for movies and basketball games. The question states that the IQR is a better measure of spread for movies than it is for basketball games. This suggests that the IQR might be a more appropriate measure for movies because it captures the spread of the central data points.
On the other hand, the standard deviation is a measure of the dispersion of data points from the mean. It tells us how much individual data points deviate from the average. Comparing the standard deviation for movies and basketball games, the question implies that the standard deviation might be a better measure for movies. This suggests that the spread of attendance at the movie theater might vary more from the mean, while the spread of attendance at basketball games might be more concentrated around the mean.
Based on the given statements, the correct answer would be:
"The IQR is a better measure of spread for movies than it is for basketball games."