What is the standard deviation for the following set of scores: 10,15,12,18,19,16,12?

A) 3.36
B) 11.29
C) 6.47
D) 17.78

Question

What is the standard deviation for the following set of scores: 10,15,12,18,19,16,12?A) 3.36B) 11.29C) 6.47D) 17.78

Maddison Zedek · Accepted Answer

Final Answer : A, Explanation :  The standard deviation is calculated by finding the square root of the variance. First, find the mean (average) of the scores: (10+15+12+18+19+16+12)/7 = 102/7 = 14.57. Then, find the variance by summing the squared differences from the mean and dividing by the number of scores: [(10-14.57)^2 + (15-14.57)^2 + (12-14.57)^2 + (18-14.57)^2 + (19-14.57)^2 + (16-14.57)^2 + (12-14.57)^2] / 7 = 90.86 / 7 = 12.98. Finally, take the square root of the variance to get the standard deviation: sqrt(12.98) ≈ 3.36.

What is the standard deviation for the following set of scores: 10,15,12,18,19,16,12?

A) 3.36
B) 11.29
C) 6.47
D) 17.78

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