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 36 hours and the median is 32.2 hours. Twenty-four of the families in the sample turned on the television for 21 hours or less for the week. The 11th percentile of the data is 21 hours. Approximately how many families are in the sample? Round your answer to the nearest integer.

Question

Mathematics

Fabian

4 November, 22:18

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 36 hours and the median is 32.2 hours. Twenty-four of the families in the sample turned on the television for 21 hours or less for the week. The 11th percentile of the data is 21 hours. Approximately how many families are in the sample? Round your answer to the nearest integer.

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Answers (1)

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Alena West · Answer 1

Number of families in the sample is 218 families

Step-by-step explanation:

Given:

There are 24 families in the sample that turned on television for 21hours or less.

The 11th percentile of the data is 21hours.

The mean of the data is 36hours.

The standard deviation is 32.2hours.

To calculate number of families in the sample = 24 / 0.11 = 218 families