Question

In a data set with a minimum value of 54.5 and a maximum value of 98.6 with 300 observations, there are 186 points less than 81.2. Find the percentile for 81.2.

Answer 1

81.2 is the 62th percentile

Explanation:

What is the interpretation for a percentile?

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.

300 observations, there are 186 points less than 81.2. Find the percentile for 81.2.

So

`p = (186)/(300) = 0.62`

81.2 is the 62th percentile