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Part 1
Find the mean, variance, and standard deviation for the data set.
7, 13, 9, 2, 12, 8, 14, 7, 16, 12
Question content area bottom
Part 1
The mean is x overbarequals
(Round to two decimal places as needed.)
Part 2
The variance is sigmasquaredequals
(Round to two decimal places as needed.)
Part 3
The standard deviation is sigmaalmost equals
(Round to two decimal places as needed.)
Part 1:
Mean = (7 + 13 + 9 + 2 + 12 + 8 + 14 + 7 + 16 + 12) / 10
Mean = 100 / 10
Mean = 10
Part 2:
Variance = [(7-10)^2 + (13-10)^2 + (9-10)^2 + (2-10)^2 + (12-10)^2 + (8-10)^2 + (14-10)^2 + (7-10)^2 + (16-10)^2 + (12-10)^2] / 10
Variance = [(9 + 9 + 1 + 64 + 4 + 4 + 16 + 9 + 36 + 4)] / 10
Variance = 156 / 10
Variance = 15.6
Part 3:
Standard deviation = √Variance
Standard deviation = √15.6
Standard deviation ≈ 3.95
So, the mean is 10, the variance is 15.6, and the standard deviation is approximately 3.95.