c++ program

D Letter grades are sometimes assigned to numeric scores by using the grading scheme commonly known as grading on the curve. In this scheme, a letter grade is assigned to a numeric score according to the following table: score more than 1.5 standard deviations F below the mean score between 0.5 and 1.5 standard deviations below the mean score between 0.5 standard deviations below the mean and 0.5 standard deviations above the mean score between 0.5 and 1.5 standard B deviations above the mean score more than 1.5 standard deviations A above the mean So, let's assume that the mean on an exam is 80 and the standard deviation is 5. A score of 90 is two standard deviations above the mean; it earns an A. A score of 70 is two standard deviations below the mean; it earns an F. A score of 85 is one standard deviation above the mean; it earns a B. A score of 75 is one standard deviation below the mean; it ears a D. A score of 81 is 0.2 standard deviations above the mean; it earns a C. The formula for standard deviation is (x-x, 11 where x is one value, is the mean of all the x observations, n is the number of observations, so if there is an array of five values, 1,2,3,4,5, the mean of x is 3, the numerator of the equation is 10 (-2? + -1 +0+1+2), the value inside the radical is 10/52, and the standard deviation is the square root of 2 or 1.414 Query the user for ten numeric grades and calculate and display the letter grades as described above