Answered: Determine whether the following graph…

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 6CR

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Question

Determine whether the following graph can represent a variable with a normal distribution Explain your reasoning. If the graph appears to represent a normal distribution, estimate the mean and standard deviation.

Could the graph represent a variable with a normal distribution? Explain your reasoning. Select the correct choice below and, if necessary, fill in the answer boxes within your choice

A. No, because the graph is skewed right.

B. No, because the graph is skewed left.

C. Yes, the graph fulfills the properties of the normal distribution. The mean is approximately___and the standard deviation is about____(type whole numbers.)

D. No, because the graph crosses the x-axis.

the graph appears to represent a
andard deviation is about
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10 15 20 25 30
below and, if necessary, fill in the answer boxes within your choice.
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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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