Question

At a photography contest, entries are scored on a scale from 1 to 100. At a recent contest with 1,000 entries, a score of 68 was at the 77th percentile of the distribution of all the scores. Which of the following is the best description of the 77th percentile of the distribution?
a. There were 77% of the entries with a score less than 68.
b. There were 77% of the entries with a score greater than 68.
c. There were 77% of the entries with a score equal to 68.
d. There were 77 entries with a score less than 68.

1. thienhuong

a. There were 77% of the entries with a score less than 68.

Step-by-step explanation:

Percentile of a distribution:

A score X being in the xth percent of a distribution means that x% of the scores are below X and 100 – x% of the scores are above X.

In this question, we have that:

A score of 68 is in the 77th percentile of the distribution.

This means that 77% of the scores are below 68, and 100 – 77 = 23% of the scores are above 68.

So the correct answer is given by option a.