Question

50% of the shows have a rating greater than: 11 15.5 14 17 impossible to tell what is the percentage of shows that have a rating of less than 20? 67% 75% 84% 25% impossible to tell

Explanation:

Step1: Recall box - plot properties

In a box - plot, the median (second quartile, Q2) divides the data into two halves. 50% of the data is greater than the median and 50% is less than the median. From the box - plot, the median appears to be around 14.

Step2: Analyze percentage less than a value

To find the percentage of shows with a rating less than a certain value, we use the quartile information. The lower quartile (Q1) represents the 25th percentile. If we assume the value in question is related to quartile positions, and since the lower part of the box (Q1) is around 11, and we don't have enough information to precisely match the value in the second part of the question with quartile boundaries for a definite percentage calculation. But for the first part, 50% of the shows have a rating greater than the median.

Answer:

1. First question: C. 14
2. Second question: Impossible to tell