Question

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 30 hours and the median is 26.2 hours. Twenty-four of the families in the sample turned on the television for 15 hours or less for the week. The 12th percentile of the data is 15 hours. Step 1 of 5 : Based on the given information, determine if the following statement is true or false. The 54th percentile is greater than or equal to 25 hours.

Answer 1

The given statement is false

Explanation:

Given that:

mean = 30 hours

median = 26.2 hours

In the given sample, 24 of the families turned on the television for less than 15 hours for the week.

The 53rd percentile is less than 25 hours.

The Median represents the value that equally divides the whole data into two parts. This signifies that the median is the 50th percentile of the data.

Provided that the median is 26.2 hours. So, the 54th percentile should be greater than 26.2 hours.

Thus, the given statement is false.