Question 617047
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Hi, 
For a particular sample of 77 scores on a psychology exam, the following results were obtained.
 First quartile = 42 Third quartile = 69 {{{SD= 10}}} {{{Range = 54}}}
 Mean = 62,  Median = 56 {{{Mode = 83}}} {{{Midrange = highlight(66)}}}
I. What score was earned by more students than any other score? by defn.{{{Mode = 83}}}
II. What was the highest score earned on the exam? {{{((x-54)+x)/2 = 66}}}, x ={{{ 93}}}
III. What was the lowest score earned on the exam? {{{93-54 = highlight(39)}}}
 IV. According to Chebyshev's Theorem, how many students scored between 32 and 92?  {{{1 - 1/10^2 = 1-.01 = .99}}}, {{{.99*77}}} = 76.23 or 76 
 V. Assume that the distribution is normal. Based on the Empirical Rul... 
how many students scored between 52 and 72? {{{.68 * 77 = 52.36}}} OR 52 
The empirical rule says that if you go 1 standard deviation out from the mean that you will capture 68 % of your data
 Please show all of your work.