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The Following Is a Frequency Distribution of Grades of a Sample

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The following is a frequency distribution of grades of a sample of statistics examinations.  Grade  Frequency 5059760691070792280891590996\begin{array} { l 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


Definitions:

Cash

Money in the form of coins or banknotes, especially that held by an organization or in bank accounts.

Community Bonds

Investment instruments issued by local governments or community organizations to finance projects that benefit the community, often with a social or environmental focus.

Investment Account

A type of financial account that holds securities, cash, and other investments, typically managed by a brokerage or investment firm.

Fair Value

Fair value refers to the estimated market price of an asset or liability based on current market conditions and counterparties' knowledge.

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