Background. Often, we know several values x₁, ..., x_n of a certain quantity: e.g., we know the outside temperature on different days in October. It is frequently useful to find:

• the smallest of these values (e.g., the coldest temperature),
• the largest of these values (e.g., the warmest temperature);
• the average a of these values (e.g., the average temperature in October);
• the mean deviation, i.e., the average value of the quantity |a − x_i|;
• the standard deviation, i.e., the square root √s, where s is the average value of the quantity (a − x_i)².

Assignment. Write a program for simple statistical analysis of the data. Your program should contain the following methods:

• an input method; this method should ask the user for a number of inputs, declare an array of the corresponding size, then ask the user for the values x₁, ..., x_n and place these values into an array;
• a method for computing the smallest element of a given array;
• a method for computing the largest element of a given array;
• a method for computing the average of a given array;
• a method for computing the mean deviation: this method should take the given array, use the mean method to compute its mean, generate the new array of quantities |a − x_i|, and use the mean method again to compute the mean difference;
• a method for computing the standard deviation: this method should take the given array, use the mean method to compute its mean, generate the new array of quantities (a − x_i)², use the mean method again to compute the mean value of this quantity, and then take the square root.

• on Monday November 3 for those who attend Monday-Wednesday labs, and
• on Tuesday November 4 for those who attend Tuesday-Thursday labs.

• on Wednesday November 5 for those who attend Monday-Wednesday labs, and
• on Thursday November 6 for those who attend Tuesday-Thursday labs.