Question

You collect blood from a sample of 5 TSU students. Their cholesterol levels are

100

130

150

180

210

You are asked to calculate the Sample Variance. The Sample Variance is . . .

(note: If your answer is not a "whole number", you should round to the nearest one tenth (0.1). For example, 2.47 would be 2.5. Likewise, 2.43 would be 2.4)

2.

You collect blood from a sample of 5 TSU students. Their cholesterol levels are

100

130

150

180

210

You are asked to calculate the Sample Coefficient of Variation. The Coefficient of Variation is . . .

(note: The Coefficient of Variation is reported as a percentage (such as 43.2%) If your answer is not a "whole number", you should round to the nearest tenth (0.1). For example, 47.83 would be 47.8 and likewise, 47.38 would be 47.4)

Answer 1

1)
Sample mean = 154
Sample variance = (x- mean)^2
= ( 100 - 154)^2 + ( 130 -100)^2+ ( 150 - 154)^2 + ( 180 -154)^2 + (210-154)^2

= 1830

2)
CV = (std.dev /mean) * 100
= (42.7785/154) * 100
= 27.7782 = 27.8