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Opposites In a way, boxplots are the opposite of

Chapter 1, Problem 2E

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QUESTION:

Opposites      In a way, boxplots are the opposite of histograms. A histogram divides the number line into equal intervals and displays the number of data values in each interval. A boxplot divides the data into equal parts and displays the portion of the number line each part covers. These two plots display the number of incarcerated prisoners in each state as of 2012.

a) Explain how you could tell, by looking at a boxplot, where the tallest bars on the histogram would be located.

b) Explain how both the boxplot and the histogram can indicate a skewed distribution.

c) Identify one feature of the distribution that the histogram shows but a boxplot does not.

d) Identify one feature of the distribution that the boxplot shows but the histogram does not.

Questions & Answers

QUESTION:

Opposites      In a way, boxplots are the opposite of histograms. A histogram divides the number line into equal intervals and displays the number of data values in each interval. A boxplot divides the data into equal parts and displays the portion of the number line each part covers. These two plots display the number of incarcerated prisoners in each state as of 2012.

a) Explain how you could tell, by looking at a boxplot, where the tallest bars on the histogram would be located.

b) Explain how both the boxplot and the histogram can indicate a skewed distribution.

c) Identify one feature of the distribution that the histogram shows but a boxplot does not.

d) Identify one feature of the distribution that the boxplot shows but the histogram does not.

ANSWER:

Problem 2E

Opposites. In a way, boxplots are the opposite of histograms. A histogram divides the number line into equal intervals and displays the number of data values in each interval. A boxplot divides the data into equal parts and displays the portion of the number line each part covers. These two plots display the number of incarcerated prisoners in each state as of 2012.

a) Explain how you could tell, by looking at a boxplot, where the tallest bars on the histogram would be located.

b) Explain how both the boxplot and the histogram can indicate a skewed distribution.

c) Identify one feature of the distribution that the histogram shows but a boxplot does not.

d) Identify one feature of the distribution that the boxplot shows but the histogram does not.

                                                              Step by Step Solution

Step 1 of 5

Given: The histogram and the boxplot representing the number of incarcerated prisoners in each state as of 2012 is shown as,

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