# Statistics

For a particular sample of 63 scores on a psychology exam, the following results were obtained.
First quartile = 57 Third quartile = 87 Standard deviation = 9 Range = 51
Mean = 72 Median = 72 Mode = 98 Midrange = 57
Answer each of the following:
I. What score was earned by more students than any other score? Why?
II. What was the highest score earned on the exam?
III. What was the lowest score earned on the exam?
IV. According to Chebyshev's Theorem, how many students scored between 45 and 99?
V. Assume that the distribution is normal. Based on the Empirical Rule, how many students scored between 45 and 99?
Please show all of your work.

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asked by Denise
1. I-III

mode:http://www.mathgoodies.com/lessons/vol8/mode.html
midrange: http://en.wikipedia.org/wiki/Mid-range

IV. Chebyshev's Theorem: http://www.statisticshowto.com/articles/how-to-calculate-chebyshevs-theorem/

You know the value of mean and standard deviation. Find the number of standard deviations (Find x)!
72 +/- (x)(9) = (45, 99)

V. Empirical 68-95-99.7 Rule
http://www.stat.sfu.ca/~cschwarz/Stat-201/Handouts/node37.html

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