The following data set is the GPAs of the students in a statistics class.

1.93, 1.99, 2.00, 2.04, 2.12, 2.34, 2.55, 2.55, 2.75, 2.75,

2.80, 2.80, 2.85, 3.02, 3.12, 3.22, 3.31, 3.33, 3.45, 3.69

What percentile is a GPA of 2.34?

A. About the 6th
B. About the 15th
C. About the 30th
D. About the 60th

Answer A

3 answers

Assuminga normal distribution, find the mean first = sum of scores/number of scores

Subtract each of the scores from the mean and square each difference. Find the sum of these squares. Divide that by the number of scores to get variance.

Standard deviation = square root of variance

Z = (score-mean)/SD

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability related to the Z score.

I'll let you do the calculations.

thanks

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