Use the following data on a test given 76 56 55 88 87 69 90

Use the following data on a test given: 76, 56, 55, 88, 87, 69, 90, 89, 73, 85, 99, 26, 80, 79, 76, 97, 94, 96, 90, 91. (A) Find the percentile of 79. (B) Find P60 and Q1.

Solution

Arrange in ascending order

26,55,56,69,73,76,76,79,80,85,87,88,89,90,90,91,94,96,97,99

There are 20 entries. 75th percentile will be 15th entry

i.e. 75th percentile = average of 90,91 = 90.5

b) 60th percentile = 12th entry

= 88

c) Q1 is 25th percentile

i.e.

Q1 = average of 5th and 6th entry = 74.5