Measures of Position (Ungrouped Data)2

Calculate the 25th percentile for the following data set: 10, 15, 20, 25, 30, 35, 40.

• 27.5

• 18.75

• 16.25

• 22.5

Identify the lower quartile for the data set: 12, 18, 22, 28, 35, 40, 45.

• 28

• 18

• 22

• 35

Determine the median for the data set: 5, 10, 15, 20, 25, 30, 35, 40.

• 27.5

• 32.5

• 18.5

• 22.5

Locate the upper quartile for the data set: 8, 12, 16, 20, 24, 28, 32, 36.

• 22

• 30

• 34

• 26

Find the 75th percentile for the data set: 2, 4, 6, 8, 10, 12, 14, 16, 18.

• 13

• 17

• 20

• 15

Calculate the 30th percentile for the following data set: 5, 10, 15, 20, 25, 30, 35, 40, 45.

• 17.5

• 27.5

• 22.5

• 12.5

Identify the lower quartile for the data set: 7, 14, 21, 28, 35, 42, 49.

• 35

• 14

• 21

• 56

Determine the median for the data set: 3, 6, 9, 12, 15, 18, 21, 24.

• 10.5

• 16.5

• 20.5

• 13.5

Locate the upper quartile for the data set: 11, 22, 33, 44, 55, 66, 77, 88.

• 77

• 33

• 55

• 66

Find the 80th percentile for the data set: 1, 3, 5, 7, 9, 11, 13, 15, 17.

• 12.6

• 10.5

• 14.2

• 8.7