Answered: A psychology teacher gave an…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A psychology teacher gave an objective-type test to a class of 400 students and, after seeing the results, decided that the scores were normally distributed. The mean score was 46, and the standard deviation was 15. The teacher assigned a grade of A to all scores of 76 or over, B to scores of 61 to 75, C to scores of 31 to 60, D to scores of 16 to 30 and F to scores below 16. About how many of each grade did the teacher assign? (Round your answers to the nearest whole number. Due to rounding, values may not add to the given sum. Recall that 34% of z-scores lie between 0 and 1, 13.5% lie between 1 and 2, and 2.5% are greater than 2.)

A
B
C
D
F

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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