Statistics

A consumer testing service obtained the following miles per gallon in five test runs performed on three types of mid-size cars.

	RUN 1	RUN 2	RUN 3	RUN 4	RUN 5
MODEL A	28	32	28	30	34
MODEL B	31	29	31	29	31
MODEL C	29	32	28	32	30

1. The manufacturer of Model A wants to advertise that their car performed best on this test. Which measure of center (arithmetic mean, median or mode) should they use in their claim? Justify your reasoning.

2. The manufacturer of Model B wants to advertise that their car performed best on this test. Which measure of center (arithmetic mean, median or mode) should they use in their claim? Justify your reasoning.

3. The manufacturer of Model C wants to advertise that their car performed best on this test. Which measure of center (arithmetic mean, median or mode) should they use in their claim? Justify your reasoning.

The data below represents the number of minutes a sample of 25 people exercise each week.

25 people were asked, “How many minutes do you spend exercising each week?” The results of the survey are below.
108	139	120	123	120	132	123	131	131	157
150	124	111	101	135	119	116	117	127	128
139	119	118	114	127

4. Construct an expanded frequency table using five classes.

You may copy/paste the symbols below for use in your distribution.

5. Display the data using a frequency histogram and a frequency polygon on the same axes.

6. Display the data using a relative frequency histogram.

7. Describe the shape of the distribution (symmetric, uniform or skewed).

8. Approximate the sample mean using the frequency distribution.

The weekly salaries for a sample of employees at Company ABC are listed.

754

466

1019

795

908

627

444

940

9. Find the range of the data set.

10. Find the variance of the data set.

11. Find the standard deviation of the data set.