Problem

Consider the following data: \[ 14,-12,-10,14,-10,14,-10 \] Copy Data Step 2 of 3: Calculate the value of the sample standard deviation. Round your answer to one decimal place.

Solution

Step 1 :Given the data set \[14,-12,-10,14,-10,14,-10\]

Step 2 :First, calculate the mean of the data set. The mean is the sum of all the numbers divided by the count of numbers. In this case, the mean is 0.0

Step 3 :Next, for each number in the data set, subtract the mean and square the result. This gives us the squared differences

Step 4 :Then, find the average of these squared differences. This is called the variance. In this case, the variance is 172.0

Step 5 :Finally, to find the standard deviation, take the square root of the variance. This gives us the standard deviation of 13.1

Step 6 :So, the sample standard deviation of the given data set is \(\boxed{13.1}\)

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Source: https://solvelyapp.com/problems/JPYr5hrBr8/

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