Question

In general, % of the values in a data set lie at or below the 16th percentile. % of the values in a data set lie at or above the 24th percentile.. If a sample consists of 800 test scores, of them would be at or below the 86th percentile. If a sample consists of 800 test scores, of them would be at or above the 14th percentile.

Answer 1

Complete Question

In general,_______ % of the values in a data set lie at or below the 16th percentile.

_________ % of the values in a data set lie at or above the 24th percentile.

If a sample consists of 800 test scores, _______ of them would be at or below the 86th percentile. If a sample consists of 800 test scores,_______ of them would be at or above the 14th percentile.

Answer:

In general, 16 % of the values in a data set lie at or below the 16th percentile.

24 % of the values in a data set lie at or above the 24th percentile.

If a sample consists of 800 test scores,  688 of them would be at or below the 86th percentile. If a sample consists of 800 test scores, 688 of them would be at or above the 14th percentile.

Step-by-step explanation:

Generally percentile defines the percentage of a data set that is below or at a value that is being considered.

Hence the percentage of the values of a data set that lies below or at the 16th percentile is  16%

Also  the values of a data set that lies below or at the 24th percentile is  24%

Given a sample of 800 test scores , the number number of test scores that will be at or below the 86th percentile is 86% of  800 which is mathematically represented as

      $k = \frac{86}{100} * 800$

        $k = 6 88$ test scores

Given a sample of 800 test scores , the number number of test scores that will be above  the 14th percentile is (100 - 14 = 86 )% of  800 which is mathematically represented as

       $a = \frac{86}{100} * 800$

        $a = 6 88$ test scores