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? Round your answer to the nearest integer.

Answer 1

We can use the information that 24 families watched 16 hours or less to estimate the sample size. Since the 7th percentile is 16 hours, we know that 7% of the sample watched 16 hours or less. Therefore, we can set up a proportion:

(24 / x) = 0.07

where x is the total number of families in the sample. Solving for x, we get:

x = 24 / 0.07 ≈ 343

Rounding to the nearest integer, we can estimate that there are approximately 343 families in the sample.