Check whether mean or median is a better summary of the percentage of white residents in the neighborhood and explains the reason.

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Answer 1

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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.

Chapter 5, Problem 46E

a.

To determine

Check whether mean or median is a better summary of the percentage of white residents in the neighborhood and explains the reason.

b.

To determine

Check whether the IQR or the standard deviation is a better summary of spread and explains the reason.

c.

To determine

Find the percentage of neighborhoods should have a percent white within one standard deviation of the mean, from the Normal model.

d.

To determine

Find the percentage of neighborhoods actually have a percent white within one standard deviation of the mean.

e.

To determine

Explain the discrepancy between parts c and d.

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Answer 2

Question

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.

Chapter 5, Problem 46E

a.

To determine

Check whether mean or median is a better summary of the percentage of white residents in the neighborhood and explains the reason.

b.

To determine

Check whether the IQR or the standard deviation is a better summary of spread and explains the reason.

c.

To determine

Find the percentage of neighborhoods should have a percent white within one standard deviation of the mean, from the Normal model.

d.

To determine

Find the percentage of neighborhoods actually have a percent white within one standard deviation of the mean.

e.

To determine

Explain the discrepancy between parts c and d.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 3

Question

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.

Chapter 5, Problem 46E

a.

To determine

Check whether mean or median is a better summary of the percentage of white residents in the neighborhood and explains the reason.

b.

To determine

Check whether the IQR or the standard deviation is a better summary of spread and explains the reason.

c.

To determine

Find the percentage of neighborhoods should have a percent white within one standard deviation of the mean, from the Normal model.

d.

To determine

Find the percentage of neighborhoods actually have a percent white within one standard deviation of the mean.

e.

To determine

Explain the discrepancy between parts c and d.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 4

Question

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.

Chapter 5, Problem 46E

a.

To determine

Check whether mean or median is a better summary of the percentage of white residents in the neighborhood and explains the reason.

b.

To determine

Check whether the IQR or the standard deviation is a better summary of spread and explains the reason.

c.

To determine

Find the percentage of neighborhoods should have a percent white within one standard deviation of the mean, from the Normal model.

d.

To determine

Find the percentage of neighborhoods actually have a percent white within one standard deviation of the mean.

e.

To determine

Explain the discrepancy between parts c and d.

Expert Solution & Answer

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Answer 5

Chapter 5, Problem 46E

a.

To determine

Check whether mean or median is a better summary of the percentage of white residents in the neighborhood and explains the reason.

b.

To determine

Check whether the IQR or the standard deviation is a better summary of spread and explains the reason.

c.

To determine

Find the percentage of neighborhoods should have a percent white within one standard deviation of the mean, from the Normal model.

d.

To determine

Find the percentage of neighborhoods actually have a percent white within one standard deviation of the mean.

e.

To determine

Explain the discrepancy between parts c and d.

Answer 6

Chapter 5, Problem 46E

a.

To determine

Check whether mean or median is a better summary of the percentage of white residents in the neighborhood and explains the reason.

Answer 7

Chapter 5, Problem 46E

a.

To determine

Check whether mean or median is a better summary of the percentage of white residents in the neighborhood and explains the reason.

Answer 8

b.

To determine

Check whether the IQR or the standard deviation is a better summary of spread and explains the reason.

Answer 9

b.

To determine

Check whether the IQR or the standard deviation is a better summary of spread and explains the reason.

Answer 10

c.

To determine

Find the percentage of neighborhoods should have a percent white within one standard deviation of the mean, from the Normal model.

Answer 11

c.

To determine

Find the percentage of neighborhoods should have a percent white within one standard deviation of the mean, from the Normal model.

Answer 12

d.

To determine

Find the percentage of neighborhoods actually have a percent white within one standard deviation of the mean.

Answer 13

d.

To determine

Find the percentage of neighborhoods actually have a percent white within one standard deviation of the mean.

Answer 14

e.

To determine

Explain the discrepancy between parts c and d.

Answer 15

e.

To determine

Explain the discrepancy between parts c and d.

Answer 16

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Answer 17

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Answer 18

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Answer 19

Ch. 5.1 - Your statistics teacher has announced that the...Ch. 5.1 - A distribution of incomes shows a strongly right...Ch. 5.2 - Prob. 3JC Ch. 5.2 - Prob. 4JC Ch. 5.3 - As a group, the Dutch are among the tallest people...Ch. 5.3 - Prob. 6JC Ch. 5.3 - The mean of our original sample of 100 commute...Ch. 5.3 - Prob. 8JC Ch. 5 - Stats test The mean score on the Stats exam was 75...Ch. 5 - Mensa People with z-scores above 2.5 on an IQ test...

Check whether mean or median is a better summary of the percentage of white residents in the neighborhood and explains the reason.

Solution Summary: The author explains that median is a better summary of the percentage of white residents in the neighborhood.

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Check whether mean or median is a better summary of the percentage of white residents in the neighborhood and explains the reason.

Check whether the IQR or the standard deviation is a better summary of spread and explains the reason.

Find the percentage of neighborhoods should have a percent white within one standard deviation of the mean, from the Normal model.

Find the percentage of neighborhoods actually have a percent white within one standard deviation of the mean.

Explain the discrepancy between parts c and d.

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