Question

In a data set with a range of 55.4 to 105.4 and 400 observations, there are 176 observations with values less than 86. Find the percentile for 86

Answer 1

ANSWER:

In a data set with a range of 55.4 to 105.4 and 400 observations.86 lies in the 49th percentile.

SOLUTION:

Given, in a data set with a range of 55.4 to 105.4 and 400 observations.

There are 176 observations below the value of 86, and we need to find the percentile for 86.

We know that, percentile formula = $\frac{\text {number of observations below the required number}}{\text {total number of observations}} \times 100$

Percentile of 86 = $\frac{176}{400} \times 100$

Since, we cancelled 400 with 100 we get 4 , hence above expression becomes,

$=\frac{176}{4}$ = 49

So, percentile of 86 = 49

Hence, 86 lies in the 49th percentile.