The standard deviation of a set of data values gives us a sense of the dispersion of values within their range. For example, a set of test scores with a small standard deviation indicates that most people's scores were very close to the average score. Some instructors use the standard deviation as a way of determining the range of values to assign a particular grade. Design and write a C++ program that reads a set of scores from the file scores.dat, and outputs their mean and standard deviation on cout. The formula for the standard deviation is 18 - (2x) - n(n 1) where n is the number of values and xi represents the individual values. Thus, to compute the standard deviation, you must sum the squares of the individual values, and also square the sum of the values. All of this reading and summing can be done with a single loop, after which the mean and standard deviation of the scores are computed. Be sure to properly label the output. Use meaningful variable names, proper indentation, and appropriate comments. Thoroughly test the program using your own data sets.