Recall that the mean T and the standard deviation ơ, are defined as N と;-ア)? ri Or i=1 i=1 and that the median î is defined as the value for which half of the scores are above it and half of the scores are below it. To compute the median, you first need to sort the array. If N is odd, then r is the element r; in the middle of the sorted array; if N is even, then F is the average of the two elements r; and ri+1 in the middle of the sorted array (if you find this confusing, just check Wikipedia, or come to office hours). Your program should be called qualityControl.cpp. You should copy-paste the following code and leave it untouched: #include #include using namespace std; float mean(float*, int); float stdev(float*, int); float median (float*, int); void top2scores (float*, int, float&, float&); void sort(float*, int); int main(void) { // Array for storing the test results cout << "How many test objects do you have? " int n; cin >> n; float* res = new float [n] ; // dynamically allocated memory for res[] // Read in the test results cout << "Enter the " くく n <く " test results: for (int i=0; i> res[i] ; // Print out cout << "Summary test scores: << endl ; %3D " << mean(res, n) << endl ; << stdev(res, n) << endl ; " < median(res, n) << endl ; cout << " mean cout << " stdev cout << median = float bestScore, secondBestScore; top2scores (res, n, bestScore, secondBestScore); cout << " top-2 = " << bestScore <« " " « secondBestScore « endl; return 0; Sample output is: How many test objects do you have? 6 Enter the 6 test results: 43 66 57 29 32 39 Summary test scores: = 44.3333 mean stdev 14.473 median = 41 top-2 = 66 57 Your task is to write the 5 functions needed to complete the program, namely: mean (), stdev(), median(), top2scores (), and sort (). Hints: 1. For sort (), use the provided bubbleSort() function (we will also cover this file in lecture). 2. The mean () function should be straightforward. 3. When writing the stdev() function, you can save yourself work by calling mean() from within stdev () to compute the mean. I know we haven't called functions from within functions, but that is totally acceptable in programming – and it saves you work. 4. To implement median() you will need to be able to determine if a number is even or odd. You can do this the hard way, or the easy way. The easy way makes use of the modulo operator, % (think about it). 5. You will also want to call sort() from within median(). 6. You should think about how to make use of sort () when writing the top2scores() function as well!