Answered: A certain Probability & Statistics…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 13PPS

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A certain Probability & Statistics instructor assigns letter grades on tests using the following scheme. A: The top 13% of the scores. B : Scores below the top 13% and above the bottom 60%. C: Scores below the top 40% and above the bottom 24%. D : Scores below the top 76% and above the bottom 8%. F : The bottom 8% of the scores. Scores on the tests are normally distributed with a mean of 77.4 and a standard deviation of 7.9 . Find the numerical limits for a grade of C. 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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