Answered: Find the minimum score required for an…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 19SGR

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Question

A humanities professor assigns letter grades on a test according to the following scheme.

A: Top 12%12% of scores

B: Scores below the top 12%12% and above the bottom 63%63%

C: Scores below the top 37%37% and above the bottom 16%16%

D: Scores below the top 84%84% and above the bottom 8%8%

F: Bottom 8%8% of scores

Scores on the test are normally distributed with a mean of 80.180.1 and a standard deviation of 7.27.2. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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