A normal distribution of heights of adult women from a certain region has a mean of 69.3 inches and a standard deviation of 3 inches. Give the standard score and approximate percentiles for a woman with each of the following heights. a. 70.8 inches b. 72.3 inches c. 67.8

A normal distribution of heights of adult women from a certain region has a mean of 69.3 inches and a standard deviation of 3 inches. Give the standard score and approximate percentiles for a woman with each of the following heights. a. 70.8 inches b. 72.3 inches c. 67.8

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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Question

A normal distribution of heights of adult women from a certain region has a mean of

69.3

inches and a standard deviation of

inches. Give the standard score and approximate percentiles for a woman with each of the following heights.

70.8

inches b.

72.3

inches c.

67.8

inches d.

64.8

inches

Click the icon to view the standard scores and percentiles for a normal distribution.

a. The standard score is

nothing

and the percentile is

nothing.

(Type integers or decimals.)

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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