Question
The following data set represents test scores from a math class at College A. Perform computations...
The following data set represents test scores from a math class at College A. Perform computations as instructed below. If you have decimals, use two or three decimal points in your answer.
Scores: 84, 79, 95, 65, 80, 76, 92, 88, 74, 90, 86, 72, 85
(a) What is the sum of the scores?
(b) What is the mean of the data set?
(c) What is the Sum of Squares (SS) of the data set?
(d) What is the variance (s2 ) of the data set?
(e) What is the standard deviation (s) of the data set?
Thank you!
Homework Answers
Answer #1
Scores from a math class at CollegeA:
84, 79, 95, 65, 80, 76, 92, 88, 74, 90, 86, 72, 85
Total 13 scores
(a) Sum of the scores = 84+79+95+65+ 80+76+ 92+88+ 74+ 90+ 86+ 72+85 =1066
(b) Mean of the data set = 1/13( sum of the scores)
(c) Sum of squares of the data set
=7056+6241+9025+4225+6400+5776+8464+7744+5476+8100+7396+5184+7225 = 88312
(d) variance of data set = 1/13(sum of squares) - (mean)2
= 69.231
(e) Square root of variance of the data set is the standard deviation of the data set
Thus standard deviation of the data set is
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