Question

movie length (minutes)
what percent of the data lies between 109 minutes and 138 minutes?
25%
50%
75%
100%

Explanation:

Step1: Identify quartile positions

In a box - and - whisker plot, the box represents the middle 50% of the data (from the first quartile $Q_1$ to the third quartile $Q_3$). The minimum value is at the start of the left - hand whisker and the maximum value is at the end of the right - hand whisker.

Step2: Analyze the position of given values

109 minutes is close to the first quartile ($Q_1$) and 138 minutes is close to the maximum value. The data from $Q_1$ to the maximum value represents 75% of the data. Since the first quartile marks the 25th percentile and the maximum marks the 100th percentile, $100 - 25=75$.

Answer:

75%