The Following Is a Frequency Distribution of Grades of a Sample

question 66

Short Answer

The following is a frequency distribution of grades of a sample of statistics examinations.
$$\begin{array} { c c } \text { grade } & \text { Frequency } \\50 - 59 & 7 \\60 - 69 & 10 \\70 - 79 & 22 \\80 - 89 & 15 \\90 - 99 & 6\end{array}$$ Compute the following measures:
a. The mean
b. The variance
c. The standard deviation
d. The coefficient of variation

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Definitions:

Compensating Differentials

Wage differences across jobs that reflect the desirability of the job attributes, compensating workers for job inconveniences or hazards.

Distributional Justice

The ethical principle concerned with the fair allocation of goods, wealth, or resources among individuals in a society.

John Rawls

An American philosopher known for his theory of justice and contributions to political and moral philosophy.

Income Redistribution

The reallocation of income from certain individuals to others by means of a social mechanism such as taxation, charity, welfare, public services, land reforms, or monetary policies.