
In python
We have a list (named data) of numbers sorted in ascending order, for example:
data = [2, 4, 5, 9, 10, 12, 13, 17, 18, 20]
Write a function (named DataVar(data)), which take a list (data) as input parameter and performs the following steps on the list:
1) it finds the mean m of the data (for the given example, it is m = (2 + 4 + 5 + 9 + 10 + 12 + 13 + 17 + 18 + 20)/10 =110/10 = 11).
2) then, it finds the difference of data and m. Essentially, it finds for all data: Diff = data-m
For the given example, Diff = [-9, -7, -6, -2, -1, 1, 2, 6, 7, 9].
3) then, it finds the sum of Diff and 7. Essentially, it finds for all data: Sums = Diff+7
For the given example, Sums = [-2, 0, 1, 5, 6, 8, 9, 13, 14, 16].
4) then, it finds the square of all the elements of Sums, such that Squares = square of the elements of Sums.
For the given example, Squares = [4, 0, 1, 25, 36, 64, 81, 169, 196, 256].
5) it finds the average of Squares and stores it in result, and returns it.
For the given example, result = 83.2.

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