Question

give the percentage of measurements in a data set that are above and below each of the following percentiles.
a. 85th percentile b. 50th percentile
c. 30th percentile d. 64th percentile
a. there are % of measurements above the 85th percentile and % of measurements below the 85th percentile. (simplify your answers.)

Explanation:

Step1: Recall the definition of percentile

The \(p\)th percentile of a data set is a value such that \(p\%\) of the data is less than or equal to that value.

Step2: Calculate for 85th percentile

For the 85th percentile:

• The percentage of measurements below is \(85\%\) (by definition of percentile).
• The percentage of measurements above is \(100 - 85=15\%\)

Answer:

There are \(15\%\) of measurements above the 85th percentile and \(85\%\) of measurements below the 85th percentile.