deviation 3.2 inches, answer the following questions. (Hint: Use the figure below with mean ? and standard deviation ?.) (c) What percentage of women are between 56.8 inches and 63.2 inches? __ % (d) What percentage of women are between 53.6 and 66.4 inches? __ %

deviation 3.2 inches, answer the following questions. (Hint: Use the figure below with mean ? and standard deviation ?.) (c) What percentage of women are between 56.8 inches and 63.2 inches? % (d) What percentage of women are between 53.6 and 66.4 inches? %

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 10CR

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Question

Assuming that the heights of college women are normally distributed with mean 60 inches and standard deviation 3.2 inches, answer the following questions. (Hint: Use the figure below with mean ? and standard deviation ?.)

(c) What percentage of women are between 56.8 inches and 63.2 inches?
__ %

(d) What percentage of women are between 53.6 and 66.4 inches?
__ %

Area Under a Normal Curve
2.35%
13.5%
34%
34%
13.5%
2.35%
F-30 p-20
ド-の
e to
p+2o u+3a
68%
95%
99.7%

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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