Answered: Here is a histogram and Q-Q plot of the…

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 3CR

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Here is a histogram and Q-Q plot of the water Turbidity in local rivers. Turbidity is a measure of how cloudy water is due to suspended material in the water.

-Would you say, based on the Q-Q plot, that the distribution of average water Turbidity is normally distributed? Why/why not? Does the histogram support your theory?

Normal Quantile Plot for River Turbidity
20
-2
-1
1
Theoretical Quantiles
Sample Quantiles
5
15
2.

Histogram of River Turbidity
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10
15
20
Turbidity level
Frequency
15
F5

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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