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 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 7th percentile of the data is 16 hours. Step 2 of 5 : Approximately how many families are in the sample

Answer 1

There are approximately 343 families in the sample.

Explanation:

xth percentile:

A measure is said to be in the xth percentile if it is greater than x% of the measures.

Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The 7th percentile of the data is 16 hours.

This means that 7% of the sample size n is 24. So

`0.07n = 24`

`n = (24)/(0.07)`

`n = 342.86`

Rounding up, there are approximately 343 families in the sample.