roject objective: write a program that takes a list of final scores for a class and determines: 1) the mean (Greek letter mu), 2) the standard deviation (Greek letter sigma), and 3) the number of grades in each category (A, A-, B+, B-, C+, C, C-, D+, D, and F). See above for the due date.

Use the following formulas for the standard deviation and mean, respectively.

Prompt the user for the name of a file containing the final scores, up to 100 scores, such as (without the commas):

100, 94, 59, 83, 57, 11, 92, 76, 37, 89, 74, 59, 65, 79, 49, 89, 89, 75, 64, 82, 15, 74, 82, 68, 92, 61, 33, 95, 91, 82, 89, 64, 43, 93, 86, 65, 72, 40, 42, 90, 81, 62, 90, 89, 35, 81, 48, 33, 94, 81, 76, 86, 67, 70, 100, 80, 83, 78, 96, 58

Note: m = 71.47 s = 20.98

Determine the maximum score, the minimum score, the range of scores (maximum minimum) and a table with column headings:

Grade

Number of scores

using the following scoring (where m is the mean, s is the standard deviation, and x is an individual score):

A	:	m+ 4/3 s
A	:	m+ 3/3 s		m+ 4/3 s
B+	:	m+ 2/3 s		m+ 3/3 s
B	:	m+ 1/3 s		m+ 2/3 s
B	:	m+ 0/3 s		m+ 1/3 s
C+	:	m 1/3 s		m+ 0/3 s
C	:	m 2/3 s		m 1/3 s
C	:	m 3/3 s		m 2/3 s
D+	:	m 4/3 s		m 3/3 s
D	:	m 5/3 s		m 4/3 s
F	:		x	m 5/3 s

Place the output in a file, in an orderly format, and inform the user of the name of the file before exiting.

In addition to the project source code you must also turn in a design. The design can be in pseudocode or UML. If in UML it can be handwritten and submitted as a .gif, .jpg, or .pdf image; if in pseudocode submit it in a .doc. Remember C++ code only.