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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 35 hours and the median is 31.2 hours. Twenty-four of the families in the sample turned on the television for 20 hours or less for the week. The 12th percentile of the data is 20 hours. Approximately how many families are in the sample?

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opudodennis

Answer:

[tex]200\ families[/tex]

Step-by-step explanation:

Already, we are given 12% of our sample size as 24.

To find the sample size, we equate to find 100%.

Let sample size be denoted by [tex]t[/tex]

[tex]If\ 12\%=24\\100\%=t\\t=\frac{100\%\times24}{12\%}\\=200[/tex]

Hence, the sample has 200 families.

MrRoyal

The number of hours per week is an illustration of percentiles. There are approximately 167 families in the sample

How to determine the number of families

From the question, we understand that:

The 12th percentile of the data is 20 hours

This means that:

12th percentile of n = 20 hours

Where n represents the number of families in the sample

So, we have:

12% * n = 20

Express 12% as decimal

0.12 * n = 20

Divide both sides by 0.12

n = 167

Hence, there are approximately 167 families in the sample

Read more about percentiles at:

https://brainly.com/question/18762601

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