The data set, listed below, are the ages of actresses and actors at the time that they won Oscars in the Best Actress and Best Actor categories.The ages are listed in chronological order by row, so that the corresponding locations in the two tables are from the same year. The first Academy Awards ceremony was in 1928 with the Best Actress age being 22 years and the Best Actor age being 44 years. In 1929 the Best Actress age was 37 years and the Best Actor age 41 years.

Best Actresses

22	37	28	63	32	26	31	27	27	28
30	26	29	24	38	25	29	41	30	35
35	33	29	38	54	24	25	46	41	28
40	39	29	27	31	38	29	25	35	60
43	35	34	34	27	37	42	41	36	32
41	33	31	74	33	50	38	61	21	41
26	80	42	29	33	35	45	49	39	34
26	25	33	35	35	28	30	29	61	32
33	45

Best Actors

44	41	62	52	41	34	34	52	41	37
38	34	32	40	43	56	41	39	49	57
41	38	42	52	51	35	30	39	41	44
49	35	47	31	47	37	57	42	45	42
44	62	43	42	48	49	56	38	60	30
40	42	36	76	39	53	45	36	62	43
51	32	42	54	52	37	38	32	45	60
46	40	36	47	29	43	37	38	45	50
48	60

1. Construct a frequency distribution of the ages of the Oscar-winning actresses listed in the first table. Start the first class at 20 and make the class width 10. Copy and paste into a WORD document.
2. Construct a frequency distribution of the ages of the Oscar-winning actors listed in the second table. Use the same class intervals that were used for the frequency distribution of the Oscar-winning actresses. Copy and paste into a WORD document.
3. Compare the frequency distributions for the Actresses and the Actors. Are there differences between the ages of the Best Actresses and the ages of the Best Actors based on these tables? Explain your answer using complete sentences.
4. Construct the histogram that corresponds to the frequency distribution from problem 1 and a second histogram that corresponds to the frequency distribution from problem 2.
5. Compare the histograms for the Actresses and the Actors.Which histogram appears to be closer to a normal distribution? Explain your answer using complete sentences.
6. Construct a dotplot of the ages of the Oscar-winning actresses and a dotplot of the ages of the Oscar-winning actors. Use the same x-axis.
7. How does the dotplot of the actresses compare with the dotplot of the actors? Which distribution shows more variability?
8. Construct a stemplot of the ages of the Oscar-winning actresses and a stemplot of the ages of the Oscar-winning actors
9. How does the stemplot of the actresess compare with the stemplot of the actors? Where is the highest concentration of ages for actresses? For actors?
10. Construct a scatterplot using the ages of actresses as the independent variable and the ages of actors as the dependent variable.Based on the result does there appear to be an association between the ages of actresses and the ages of actors? Explain using complete sentences.
11. Construct a time-series graph of the ages of Oscar-winning actresses. Is there a trend to the ages over time? Are the ages systematically changing over time?
12. Find the mean, standard deviation and coefficient of variation of the ages of the Oscar-winning actresses. The coefficient of variation (CV) for a set of nonnegative sample or population data, expressed as a percent, describes the standard deviation relative to the mean. The formulas are below. It's a good practice to compare two sample standard deviations only when the sample means are approximately the same. When comparing variation in samples with very different means, it is better to use the coefficient of variation. Also, see page 125 in textbook.
13. for a sample and for a population.
14. Find the mean, standard deviation and coefficient of variation of the ages of the Oscar-winning actors.
15. What do the means indicate when comparing the ages of Oscar winning Actors to Actresses?
16. If we want to compare the variation in the two sets of data which statistic should be used: the standard deviation or the coefficient of variation? Explain your reasoning using complete sentences.
17. Find the 5-number summary of the ages of Oscar-winning actresses.
18. Find the 5-number summary of the ages of Oscar-winning actors.
19. Construct boxplots of the ages of Oscar-winning actresses and actors. Put the boxplots on the same scaled axis.
20. What does a comparison of the boxplots indicate about the ages of Oscar winning Actors to Actresses?
21. Are there differences between the ages of the Best Actresses and the ages of the Best Actors?

Based on the given data, does it appear that actresses and actors are judged strictly on the basis of their artistic abilities?Or does there appear to be discrimination based on age, with the Best Actresses tending to be younger than the Best Actors? Are there any other notable differences? Be sure to justify your conclusions using the statistical results of questions 1-18, not your feelings or opinion.