Lara is calculating the standard deviation of a data set that has 8 values. She determines that the sum of the squared deviations is 184. What is the standard deviation of the data set? Round the answer to the nearest tenth.

If Lara is calculating the standard deviation of a data set that has 8 values, and she determines that the sum of the squared deviations is 184, then the standard deviation of the data set would be:

You have to get the variance by adding up the squared difference and divide it by how many values.

Since we have 184 as the sum of the squared deviations and there are 8 values, we will have 23 as the mean of the squared difference.

===> 184 : 8=23

To get the standard deviation, get the square root of the variance or the mean of the squared difference, so, √23 is 4.795831523.

Standard deviation is 4.795831523.