Using Python generate a random list of 150 integers.Calculate the Standard Deviation of the List.Ask the user for an integer and determine if its exceptional or not.

Details:You cannot use any built in statistical functions that python has for lists.

The standard deviation is a measure of how spread out a data set is.

To calculate the standard deviation:

• Assume the data is in a list x[0], x[1], x[2], etc..
• Find the average of all the numbers, call it u
• Make a new list of the square of the differences between each of the data points and the average
• (x[0] - u)²,(x[1] - u)²,etc
• Find the average of that new list, call it v
• Finally, the standard deviation is the square root of v

In most normal situations most of the data would fall within 1 standard deviation.If it doesn't fall inside 1 standard deviation it is considered exceptional.

For example, if a class has an average of 75 and the standard deviation is 15, then that indicates that any student who has an average above 90 (75+15) or below 60 (75-15) is somehow exceptional compared to the rest of the class.