Question

Interpret the interquartile range in context. Choose the correct answer below.

a. The interquartile range is the range of the middle​ 50% of the sorted incomes of the top ten grossing movies.
b. The interquartile range is the average of the first​ 25% of the sorted incomes and the last​ 25% of the sorted incomes.
c. The interquartile range shows the difference between the highest grossing movie and the lowest grossing movie.
d. The interquartile range is the difference between the lower​ 25% of the data and the median.

Answer 1

The interquartile range is a measure of dispersion used in descriptive statistics that is calculated as the difference between the third and the first quartile. This difference represents 50% of the data. In other words, the interquartile range is the 50% central range of the ordered data.

Therefore the correct answer is the option a:

The interquartile range is the range of the middle 50% of the sorted incomes of the top ten grossing movies.