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

Answer

Expert–verified
Hide Steps
Answer

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

Steps

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.

link_gpt