Curve Grades -The “Scores.txt” file contains the numeric scores earned by students on an exam. Write a program to determine the letter grades for the exam. The professor uses a curved grading scale to assign letter grades. The following table illustrates how the professor creates the curve for the letter grades.
Your program should do the following:
• Read the “Scores.txt” file
• Calculate descriptive statistics (mean, standard deviation, number of scores, low score, and high score) – NOTE: While there are a number of libraries available with functions to calculate descriptive statistics, I am requiring you to write your own code to do these calculations (see Figure 1 for standard deviation formula).
• Display the descriptive statistics in a nicely formatted table (see Figure 2)
• Use the grade curve table to determine the letter grade for each numeric score
• Create a new file named “Scores-and-Letter-Grades.txt” that contains the score and letter grade on the same line (see sample first lines of new file in Figure 3)
• Count the total number of scores for each letter grade (i.e., number of As, Bs, Cs, etc.) – HINT: A dictionary is an efficient tool for accumulating counts.
• Display a curved grade cut-off-point table (see Figure 2)
• Display a grade distribution table (see Figure 2)
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