Answered: college school system finds that the…

college school system finds that the 440-yard-dash times of its male students are normally distributed, with an average time of 70s and

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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Question

"A college school system finds that the 440-yard-dash times of its male students are normally distributed, with an average time of 70s and a standard deviation of 5.3s". If there were 40 runners, how many of them obtained a time of more than 67s?

A. 27 runners

B. 28 runners

C. 29 runners

D. 30 runners

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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