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

question 149

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.

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Definitions:

Civil War

A war between groups within the same country or state, often characterized by a struggle for power, independence, or social reform.

Black Codes

Laws passed in the Southern states after the Civil War, aimed at restricting African Americans' freedom and compelling them to work in a labor economy based on low wages or debt.

Positions of Servility

Statuses or roles characterized by an excessive willingness to serve or please others, often at one's own expense.

Southern Society

Refers to the cultural, economic, and social practices distinctive to the American South.