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 33 33 hours and the median is 29.2 29.2 hours. Twenty-four of the families in the sample turned on the television for 18 18 hours or less for the week. The 16th percentile of the data is 18 18 hoursApproximately how many families are in the sample?

Respuesta :

There are [tex]150[/tex] families in the sample.

Mean of the data [tex]= 33[/tex] hours.

Median of the data [tex]= 29.2[/tex] hours.

[tex]24[/tex] families in the sample turned on the television for [tex]18[/tex] hours or less for the week.

The [tex]16[/tex]th percentile of the data is [tex]18[/tex] hours.

Let [tex]x[/tex] be the number of families in the sample.

So, size of the sample :

[tex]\frac{16}{100} \times x = 24[/tex]

[tex]x=\frac{24 \times 100}{16}[/tex]

[tex]x=150[/tex]

So, there are [tex]150[/tex] families in the sample.

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