Question

1. The data below contains the ages of Oscar winners for Best Actor / Best Actress for the past 10 years. Answer the following questions based on this data:

Men	45	38	37	43	29	47	36	40	46	60
Women	61	29	30	28	35	35	33	25	26	34

1. What kind of data is this?      Qualitative or Quantitative?
2. What is the highest level of data?
3. Create a “back to back” stem and leaf plot.
4. Graph the two box (and whisker) plots below. Check to see if there are any outliers.
5. For the actor’s ages, calculate the mean, median and standard deviation.
6. What is the shape of the distribution of the actor’s ages?
7. For the actresses’ ages, calculate the mean, median and standard deviation.
8. What is the shape of the distribution of the actresses’ ages?
9. Based on the answers to the above questions, 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? Are there any other notable differences?

2. Find the coefficient of variation for the two sample sets of data below, and then compare the variation.

Answer 1

A) Given data is about the age of men and women which is measured in Age.

The variable Age is the Quantitative variable we have measured the age.

B) Highest level of the data is " RatioLevel" which contains Zero in the data. The given data is also a ratio level of measurement.

C)

Back to Back Stem-and-leaf plot
Women	Stem	Men
9865	2	9
5543	3	678
	4	3567
	5
1	6	0
Leaf Unit = 1

d) Box plots

E)

Descriptive Statistics: Men, Women

Statistics

Variable	Mean	StDev	Minimum	Q1	Median	Q3	Maximum
Men	42.10	8.33	29.00	36.75	41.50	46.25	60.00

F) The distribution of actors data is approximately normal.

G)

Descriptive Statistics: Men, Women

Statistics

Variable	Mean	StDev	Minimum	Q1	Median	Q3	Maximum
Women	33.60	10.29	25.00	27.50	31.50	35.00	61.00

H) Data is heavily skewed towards right.