The Following Data Represent the Scores of 50 Students on a Statistics

Essay

The following data represent the scores of 50 students on a statistics exam. The mean
score is 80.02, and the standard deviation is 11.9. $$\begin{array} { l l l l l l l l l l } 39 & 51 & 59 & 63 & 66 & 68 & 68 & 69 & 70 & 71 \\71 & 71 & 73 & 74 & 76 & 76 & 76 & 77 & 78 & 79 \\79 & 79 & 79 & 80 & 80 & 82 & 83 & 83 & 83 & 85 \\85 & 86 & 86 & 88 & 88 & 88 & 88 & 89 & 89 & 89 \\90 & 90 & 91 & 91 & 92 & 95 & 96 & 97 & 97 & 98\end{array}$$ What percentage of the scores lies within one standard deviation of the mean? two
standard deviations of the mean? three standard deviations of the mean? Based on these
percentages, do you believe that the distribution of scores is mound-shaped and
symmetric? Explain.