Problem
Question 5 of 11, Step 5 of 5 $6 / 21$ Correct 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 31 hours and the median is 27.2 hours. Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The $9^{\text {th }}$ percentile of the data is 16 hours. Step 5 of 5 : Based on the given information, determine if the following statement is true or false. The first quartile is less than 16 hours.
Solution
Step 1 ：The first quartile, also known as Q1, is the value below which 25% of the data falls.
Step 2 ：The 9th percentile of the data is 16 hours, which means 9% of the data falls below 16 hours.
Step 3 ：Therefore, the first quartile, which represents 25% of the data, must be greater than 16 hours.
Step 4 ：So, the statement 'The first quartile is less than 16 hours' is false.
Step 5 ：\(\boxed{\text{False}}\)
