Write a generic class, My Math Class, with a type parameter T where T is a numeric object type (e.g., Integer, Double, or any class that extends java.lang.Number). Add a method named standard Deviation that takes an Array List of type T and returns as a double the standard deviation of the values in the Array List. Use the double Value () method in the Number class to retrieve the value of each number as a double. Refer to Programming Project 6.5 for a definition of computing the standard deviation. Test your method with suitable data. Your program should generate a compile-time error if your standard deviation method is invoked on an Array List that is defined for nonnumeric elements (e.g., Strings).
Programming Project 6.5
The standard deviation of a list of numbers is a measure of how much the numbers deviate from the average. If the standard deviation is small, the numbers are clustered close to the average. If the standard deviation is large, the numbers are scattered far from the average. The standard deviation of a list of numbers n1, n2, n3, and so forth is defined as the square root of the average of the following numbers:
The number a is the average of the numbers n1, n2, n3, and so forth. Define a static method that takes a partially filled array of numbers as its argument and returns the standard deviation of the numbers in the partially filled array. Because a partially filled array requires two arguments, the method should actually have two formal parameters, an array parameter and a formal parameter of type int that gives the number of array positions used. The numbers in the array should be of type double. Write a suitable test program for your method.