Question

give the percentage of measurements in a data set that are above and below each of the following percentiles. a. 55th percentile b. 50th percentile c. 30th percentile d. 84th percentile a. there are 45 % of measurements above the 55th percentile and 55 % of measurements below the 55th percentile. (simplify your answers.) b. there are 50 % of measurements above the 50th percentile and 50 % of measurements below the 50th percentile (simplify your answers.) c. there are % of measurements above the 30th percentile and % of measurements below the 30th percentile. (simplify your answers.)

Explanation:

Step1: Recall percentile concept

The $p$th percentile divides a data - set such that $p\%$ of the data is below it and $(100 - p)\%$ is above it.

Step2: Calculate for 30th percentile

For the 30th percentile, the percentage of measurements below is 30% and the percentage of measurements above is $100 - 30=70\%$.

Answer:

c. There are 70% of measurements above the 30th percentile and 30% of measurements below the 30th percentile.