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:

Inventory Items

Goods and materials that a business holds for the ultimate goal of resale or production in the course of operations.

LIFO Method

An inventory valuation method that assumes the last items placed in inventory are the first ones sold; LIFO stands for Last-In, First-Out.

FIFO Method

First In, First Out, an inventory valuation method that assumes that the first items placed into inventory are the first sold.

Ending Inventory

The total value of goods that remain unsold at the end of the accounting period.