Question 4 of 12 , Step 4 of 5 The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 37 hours and the median is 33.2 hours. Twenty-four of the families in the sample turned on the television for 22 hours or less for the week. The \( 13^{\text {th }} \) percentile of the data is 22 hours. Step 4 of 5 : What is the value of the \( 50^{\text {th }} \) percentile?

In the context of the data provided, the \( 50^{\text{th}} \) percentile, also known as the median, is directly given as 33.2 hours. This indicates that half of the families in the sample watch 33.2 hours or less of television per week. The distinction between the mean and median suggests a skew in the data. Since the mean (37 hours) is higher than the median (33.2 hours), it indicates that some families likely watch a significantly higher amount of television, pulling the average up. This scenario is a classic example of how the mean can be influenced by outliers!