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# Back-to-Back Relative Frequency Histograms When using ISBN: 9780321836960 18

## Solution for problem 19BB Chapter 2.3

Elementary Statistics | 12th Edition

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Problem 19BB

Back-to-Back Relative Frequency Histograms When using histograms to compare two data sets, it is sometimes difficult to make comparisons by looking back and forth between the two histograms. A back-to-back relative frequency histogram has a format that makes the comparison much easier. Instead of frequencies, we should use relative frequencies (percentages or proportions) so that the comparisons are not difficult when there are different sample sizes. Use the relative frequency distributions of the ages of Oscar-winning actresses and actors from Exercise 1 in Section 2-2, and complete the back-to-back relative frequency histograms shown below. Then use the result to compare the two data sets. Exercise 1

Oscar Winners Construct one table (similar to Table) that includes relative frequencies based on the frequency distributions from Exercises 2 and 3, and then compare the ages of Oscar-winning actresses and actors. Are there notable differences?

Table IQ Scores from the Low Lead Group and the High Lead Group

 IQ Score Low Lead Group High Lead Group 50–69 2.6% 70–89 42.3% 71.4% 90–109 44.9% 28.6% 110–129 9.0% 130–149 1.3%

Exercise 2

In Exercises, identify the class width, class midpoints, and class boundaries for the given frequency distribution.

 Age (years) of Best Actress When Oscar Was Won Frequency 20–29 27 30–39 34 40–49 13 50–59 2 60–69 4 70–79 1 80–89 1

Exercise 3

 Age (years) of Best Actor When Oscar Was Won Frequency 20–29 1 30–39 26 40–49 35 50–59 13 60–69 6 70–79 1
Step-by-Step Solution:

Step 1 of 1 :

Given data

 Age (years) of Best Actress When Oscar Was Won Frequency Relative Frequency (Actresses) 20–29 27 (27/82) * 100 = 32.9 % 30–39 34 (34/82) * 100 = 41.5 % 40–49 13 (13/82) * 100 = 15.6 % 50–59 2 (2/82) * 100 = 2.4% 60–69 4 (4/82) * 100 = 4.9 % 70–79 1 (1/82) * 100 = 1.2 % 80–89 1 (1/82) * 100 = 1.2 % Total 82

And

...
 Age (years) of Best Actor When Oscar Was Won Frequency Relative Frequency (Actors) 20–29 1 (1/82) * 100 = 1.2 % 30–39 26 (26/82) * 100 = 31.7 % 40–49 35 (35/82) * 100 = 42.7 % 50–59 13 (13/82) * 100 = 15.9 % 60–69 6 (6/82) * 100 = 7.3  % 70–79
Step 2 of 3

Step 3 of 3

##### ISBN: 9780321836960

The full step-by-step solution to problem: 19BB from chapter: 2.3 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. The answer to “Back-to-Back Relative Frequency Histograms When using histograms to compare two data sets, it is sometimes difficult to make comparisons by looking back and forth between the two histograms. A back-to-back relative frequency histogram has a format that makes the comparison much easier. Instead of frequencies, we should use relative frequencies (percentages or proportions) so that the comparisons are not difficult when there are different sample sizes. Use the relative frequency distributions of the ages of Oscar-winning actresses and actors from Exercise 1 in Section 2-2, and complete the back-to-back relative frequency histograms shown below. Then use the result to compare the two data sets. Exercise 1Oscar Winners Construct one table (similar to Table) that includes relative frequencies based on the frequency distributions from Exercises 2 and 3, and then compare the ages of Oscar-winning actresses and actors. Are there notable differences?Table IQ Scores from the Low Lead Group and the High Lead GroupIQ ScoreLow Lead GroupHigh Lead Group50–692.6% 70–8942.3%71.4%90–10944.9%28.6%110–1299.0% 130–1491.3% Exercise 2In Exercises, identify the class width, class midpoints, and class boundaries for the given frequency distribution.Age (years) of Best Actress When Oscar Was WonFrequency20–292730–393440–491350–59260–69470–79180–891Exercise 3Age (years) of Best Actor When Oscar Was WonFrequency20–29130–392640–493550–591360–69670–791” is broken down into a number of easy to follow steps, and 194 words. This full solution covers the following key subjects: frequency, back, relative, oscar, Group. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. Since the solution to 19BB from 2.3 chapter was answered, more than 559 students have viewed the full step-by-step answer.

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