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

Question

Quizplus · Accepted Answer

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 = 5

Next, we can calculate the variance:

variance = [(0^2 + (5-5)^2 + (8-5)^2) / 3] = [(0+0+9) / 3] = 3

Finally, we can find the standard deviation by taking the square root of the variance:

standard deviation = sqrt(3) ≈ 1.73

The only answer choice that matches this result is C) 6.

On a 10-Item Test,three Students in Professor Hsin's Advanced Chemistry