Find and Interpret the Percentile

What percentile is 74 in the following group of data?

35, 65, 68, 100, 23, 69, 74, 70, 61, 90, 85, 55, 30, 65, 80

• 73rd

• 90th

• 75th

• 27th

How many pairs of shoes does a typical teenage boy own? To find out, a group of statistics students surveyed a random sample of 20 male students from their large high school. Then they recorded the number of pairs of shoes that each boy owned. Here are the data.

14, 7, 6, 5, 12, 38, 8, 7, 10, 10, 10, 11, 4, 5, 22, 7, 5, 10, 35, 7

Martin is the student who reported owning 22 pairs of shoes. Find Martin's percentile.

• 9/25 = 0.36 or the 36th percentile

• 16/25 = 0.64 or the 64th percentile

• 10/25 = 0.40 or the 40th percentile

• There is no percentile.