4) Curve Grades Statisticians use the concepts of mean and standard deviation to describe a collection of numbers. The mean is the average value of the numbers, and the standard deviation measures the...

Extracted text: 4) Curve Grades Statisticians use the concepts of mean and standard deviation to describe a collection of numbers. The mean is the average value of the numbers, and the standard deviation measures the spread or dispersal of the numbers about the mean. Formally, if x1, x2, x3, ..., xn is a collection of numbers, then the mean is х1 + x2 + х3 + + xn ... m = n and the standard deviation is (x1 – m)2 + (x2 – m)² + (x3 – m)2 + + (x4 – m)² ... S = n


Extracted text: The file Scores.txt contains exam scores. The first four lines of the file hold the numbers 59, 60, 65, and 75. Write a program to calculate the mean and standard deviation of the exam scores, assign letter grades to each exam score, ES, as follows, and then display information about the exam scores and the grades. Possible outcome: Number of scores: 14 Average score: 71.0 Standard deviation of scores: 14.42 GRADE DISTRIBUTION AFTER CURVING GRADES. A: 2 B: 1 C: 6 D: 4 F: 1 ES > m + 1.5s A m + .5s < es="">< m="" +="" 1.5s="" m="" -="" .5s="">< es="">< m="" +="" .5s="" c="" m="1.5s">< es="">< m="" -="" .5s="" d="" es="">< m="">