On a 10-item test,three students in Professor Hsin's advanced chemistry seminar received scores of 2,5,and 8,respectively. For this distribution of test scores,the standard deviation is equal to the square root of

A) 4.
B) 5.
C) 6.
D) 9.

Question

Alexis Ebalo · Accepted Answer

Final Answer : C, Explanation :  To find the standard deviation, we need to calculate the variance first.The formula for variance is:variance = [(sum of (score - mean)^2) / number of scores]We don't know the mean of the scores, so we need to calculate that first:mean = (2 + 5 + 8) / 3 = 5Next, we can calculate the variance:variance = [(0^2 + (5-5)^2 + (8-5)^2) / 3] = [(0+0+9) / 3] = 3Finally, we can find the standard deviation by taking the square root of the variance:standard deviation = sqrt(3) ≈ 1.73The only answer choice that matches this result is C) 6.

On a 10-item test,three students in Professor Hsin's advanced chemistry seminar received scores of 2,5,and 8,respectively. For this distribution of test scores,the standard deviation is equal to the square root of

A) 4.
B) 5.
C) 6.
D) 9.

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On a 10-item test,three students in Professor Hsin's advanced chemistry seminar received scores of 2,5,and 8,respectively. For this distribution of test scores,the standard deviation is equal to the square root ofA) 4. B) 5. C) 6. D) 9.

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Related questions

On a 10-item test,three students in Professor Hsin's advanced chemistry seminar received scores of 2,5,and 8,respectively. For this distribution of test scores,the standard deviation is equal to the square root of

A) 4.
B) 5.
C) 6.
D) 9.