movie length (minutes)\nwhat percent of the data lies between 109 minutes and 138 minutes?\n25%\n50%\n75%\n10…

Answer:

• What percent of the data lies between 109 minutes and 138 minutes?: 50%
• In which range(s) does 75% of the data lie?: 81 minutes and 138 minutes (assuming 81 is the minimum value and 138 is the third - quartile value based on the box - and - whisker plot concept where the box represents 50% of the data and adding the lower or upper whisker can account for 75% of the data; since 95 minutes is likely the first quartile and 138 minutes is likely the third quartile, the range from the minimum (assumed 81) to 138 covers 75% of the data). So the correct option is 95 minutes and 138 minutes.

Explanation:

Step1: Understand box - and - whisker plot

A box - and - whisker plot divides data into quartiles. The box represents the middle 50% of the data (from Q1 to Q3).

Step2: Analyze the given ranges

The range from 109 (Q1) to 138 (Q3) is the inter - quartile range (IQR) which contains 50% of the data. To find the range that contains 75% of the data, we consider the range from the minimum value (assumed 81) to Q3 (138) or from Q1 (95) to the maximum value. Here, the range 95 minutes and 138 minutes is correct as it likely includes 75% of the data based on quartile concepts.