The heights of 100 male students are normally distributed with a mean height of 165 centimeters and standard deviation of 5.9 centimeters. Answer the following in percent form. What proportion of this sample would you expect to have heights: a. less than 165 centimeters? b. between 160 and 170 centimeters? c. greater than 170 centimeters? d. less than 155 centimeters?

The heights of 100 male students are normally distributed with a mean height of 165 centimeters and standard deviation of 5.9 centimeters. Answer the following in percent form. What proportion of this sample would you expect to have heights: a. less than 165 centimeters? b. between 160 and 170 centimeters? c. greater than 170 centimeters? d. less than 155 centimeters?

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 1GP

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Question

The heights of 100 male students are normally distributed with a mean height of 165 centimeters and standard deviation of 5.9 centimeters. Answer the following in percent form. What proportion of this sample would you expect to have heights:
a. less than 165 centimeters?
b. between 160 and 170 centimeters?
c. greater than 170 centimeters?
d. less than 155 centimeters?

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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