drLovekamudi drLovekamudi

13-07-2016
Mathematics

Answered

what is the variance of the data set? 8, 9, 10, 16, 17

Verified Answer :

olemakpadu olemakpadu

13-07-2016

mean = (8 + 9 + 10 + 16 + 17) / 5 = 60/5 = 12.

x - mean:

8 - 12 = -4, -4² = 16

9 - 12 = -3, -3² = 9

10 - 12 = -2, -2² = 4

16- 12 = 4, 4² = 16

17- 12 = -5, -5² = 25

Sum of the squares = 16 + 9 + 4 + 16 +25 = 70

Variance = 70/5 = 14

Variance = 14

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