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alex records the running - time—the number of minutes a movie lasts fro…

Question

alex records the running - time—the number of minutes a movie lasts from start to finish—of 50 popular movies. the distribution of times, in minutes, is shown in the histogram below. movie running times which interval contains the median movie run time? 90 - 100 minutes 100 - 110 minutes 110 - 120 minutes 120 - 130 minutes

Explanation:

Step1: Determine the total number of data points

There are $n = 50$ data - points. Since $n = 50$ (an even number), the median is the average of the $\frac{n}{2}=25$th and $(\frac{n}{2}+1) = 26$th ordered data - points.

Step2: Calculate cumulative frequencies

Starting from the lowest class interval:

Class IntervalFrequencyCumulative Frequency
80 - 9082 + 8=10
90 - 1001610 + 16 = 26

The 25th and 26th ordered data - points fall within the 90 - 100 minutes interval.

Answer:

90 - 100 minutes