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 \(\boxed{13.1}\)