Problem

The following are distances (in miles) traveled to the workplace by 5 employees of a certain brokerage firm. \[ 7.18,24,3,18 \] Send data to caiculater Find the thindart devitition of this sampie of distances. Round your answer to two decimal places

Solution

Step 1 :Given distances are \(7.18, 24, 3, 18\).

Step 2 :Calculate the mean (average) of the distances. The mean is \(13.045\).

Step 3 :Subtract the mean from each distance and square the result. The squared differences are \(34.398225000000004, 120.01202500000001, 100.902025, 24.552025\).

Step 4 :Find the mean of these squared differences. The mean of the squared differences is \(69.966075\).

Step 5 :Take the square root of the mean of the squared differences to find the standard deviation. The standard deviation is \(8.36\).

Step 6 :The standard deviation of the sample of distances is \(\boxed{8.36}\) miles.

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Source: https://solvelyapp.com/problems/Bvoar980Ih/

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