Question

The number of hours per week that the TV is turned on is determined for each family in a sample.

The mean of the data is 37 hours.
The median is 33.2 hours.
Twenty four of the families in the sample watched TV for less than 22 hrs per week.
The 16th percentile is 22hrs.
150 families participated in the study.
The first percentile is greater than or equal to 22 hours: True or False?

Answer 1

False, the first percentile is less than 22 hours.

Explanation:

xth percentile:

If a measure is said to be in the xth percentile, it means that x% of the measures are smaller than it, and (100-x)% are larger.

Twenty four of the families in the sample watched TV for less than 22 hrs per week. In the sample, there are 150 families.

This means that 22 is the:

24*100%/150 = 16th percentile.

The first percentile is greater than or equal to 22 hours: True or False?

The first percentile is less than the 16th percentile, which is 22. This means that this is false, the first percentile is less than 22 hours.