From the Following Grouped Data, Find the Sample Standard Deviation

question 157

Short Answer

From the following grouped data, find the sample standard deviation.
  $$\begin{array} { | l | l | l | l | } \hline \text { Interval } & \text { Midpoint } x & \text { Frequency } f & \text { Product } x f \\\hline 42.5 - 51.5 & & 12 & \\\hline 51.5 - 60.5 & & 15 & \\\hline 60.5 - 69.5 & & 18 & \\\hline 69.5 - 78.5 & & 27 & \\\hline 78.5 - 87.5 & & 6 & \\\hline 87.5 - 96.5 & & 3 & \\\hline\end{array}$$  
Please round your answer to the nearest whole number, if necessary.

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Definitions:

Annual Sales

The total revenue a company generates from its operations over a one-year period.

Net Income

The total profit of a company after all expenses, taxes, and costs have been deducted from total revenue, indicating the financial performance in a given period.

Total Revenue

Total Revenue is the full amount of income generated by the sale of goods or services related to a company's primary operations.

Profit Margin

A financial metric that measures the amount of net income earned with each dollar of sales generated by comparing net income and revenue.