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This program involves working with a set of discrete data (grades) and determining their average (arithmetic mean), median, and mode. These operations are explained below.1. The average of the grades is the sum of all grades divided by the number of the grades.2. The median is the value located in middle of all grades. The grades should be ordered first. If the set contains an even number of values, the median is the average of the two middle values.3. The mode is the value that occurs most often or with the great frequency.4. The standard deviation shows how much variation exists from the average. It is calculated using the following equation: Where x1, x2, ..., xN represent the grades and µ represents the mean (average).Write a C++ program that handles any number of grades and performs the data analysis operations outlined above. Consider the following requirements. a. Read the input data from user. The program must not assume a fixed length of data; it should determine the length dynamically. b. Display the result on a standard display monitor. c. Use functions for each specific operations; for instance, double getAverage(int *grades, int size)double getMedian(int *grades, int size)int getMode(int *grades, int size)double getSd(int *grades, int size)d. If the grades have no mode, the getMode function should return -1. If the grades have more than one mode, the function should return anyone of them. e. Do not accept negative numbers for input.

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