It is very common in science and engineering to work with large data sets (large sets of numbers which are stored in a data file), which represent particular measurements in an experiment. We typically summarize the data set using statistical measurements. We are interested in the average (or mean), variance and standard deviation of the data. The following mathematical equations represent these parameters: average: N x, where x, is the ith sample out of N samples (x,-) variance: standard variance: = N-1 Standard deviation is a measure of the amount of scatter on the measurements; the greater the the more scattered the points are in the data set. Implement an algorithm the reads in a set of measurements and calculates the mean, variance and standard deviation on the input data set using a WHILE loop. Include your script file and a screen shot of your interactive session.