QUESTION IMAGE
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
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 Interval | Frequency | Cumulative Frequency |
|---|---|---|
| 80 - 90 | 8 | 2 + 8=10 |
| 90 - 100 | 16 | 10 + 16 = 26 |
The 25th and 26th ordered data - points fall within the 90 - 100 minutes interval.
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90 - 100 minutes