/19 Points] DETAILS MY NOTES ASK YOUR TE In this question we will go through the steps for finding the standard deviation of a data set. We will use the data set consisting of the 8 values 14 27 19 2 12 19 15 20 a. Find the mean x of the data set. X = b. Fill in the following chart; the first row is done for you. x ; x ; - x ( x ; - x ) 2 14 -2 27 19 2 12 19 15 20 . Add up all of the entries in column 2 of the above chart. Sum of differences= d. Notice that we'll always get the same thing if we add up the differences x; - x, no matter what data set we are looking at. This is why we square the differences before adding. Now add up all of the entries in column 3 of the above chart. Sum of squared differences= e. Divide your answer to (d) by n-1 (in this example n = 8, the number of values in the data set). Round to 2 decimal places when entering your answer, but keep your unrounded answer in your calculator. Sum of squared differences_ n-1 f. We're almost done; the answer to (e) is the variance of the data set. The variance is a measure of spread, but it has different units than the original data since we squared everything. To get back to the original units, we take the square root of this number. This is the standard deviation. Round to two decimal places, and make sure that you're taking the square root of the unrounded answer to (e), not the rounded one. Standard deviation = \\ Variance = That took a lot of steps - unless otherwise noted, you should always use software or a calculator to find the standard deviation of a data set. Type here to search O 87F Sunny 2:29 PM 9/5/2021