Suppose a population is known to be normally distributed with a mean, µ, equal to 116 and a standard deviation, ơ, equal to 14. Approximately what percent of the population would be between 102 and 130?

Suppose a population is known to be normally distributed with a mean, µ, equal to 116 and a standard deviation, ơ, equal to 14. Approximately what percent of the population would be between 102 and 130?

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 11PPS

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Question

Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard deviation, σ, equal to 14. Approximately what percent of the population would be between 102 and 130?

Suppose a population is known to be normally distributed with a mean, µ, equal to
116 and a standard deviation, o, equal to 14. Approximately what percent of the
population would be between 102 and 130?
47.5%
95%
81.5%
13.5%
68%
34%

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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