Implement a program that queries the user for a number of grades. A grade is an integer number between 0 and 100 (both inclusive). The user can stop at any time by entering a negative number. Once all...

Implement a program that queries the user for a number of grades. A grade is an integer number between 0 and 100 (both inclusive). The user can stop at any time by entering a negative number. Once all grades have been collected, your program is to output the following statistics: the five highest grades, the five lowest grades, the average grade, the median grade, and the standard deviation and variance of the grades. Of course, you’re to write a separate function to compute each of these statistics. Also, you must write the code to print five values only once. To practice, use arrays to store any five extremes and not, for instance, vectors. Hint: As a preprocessing step, you should first sort the grades the user enters; you’ll see that this will make writing the functions to compute the statistics much easier. You can adapt the quicksort algorithm from Ex8_17 to work with grade numbers. Caution: Make sure to do something sensible if the user enters less than five or even zero grades. Anything is fine, as long as it does not crash. Note: The median is the value that appears in the middle position of a sorted list. If there is an even number of grades, there obviously is no single middle value—the median is then defined as the mean of the two middle values. The formulas to compute mean (μ) and standard deviation (σ) of a series of n grades xi are as follows: