5.2 Problem Set

1) Determine the mean, median, mode and range for each of the following sets of numbers:

a) 20, 14, 54, 16, 38, 64

b) 22, 51, 64, 76, 29, 22, 48

c) 40, 61, 95, 79, 9, 50, 80, 63, 109, 42

2) The mean weight of five men is 167.2 pounds. The weights of four of the men are 158.4 pounds, 162.8 pounds, 165 pounds and 178.2 pounds. What is the weight of the fifth man?

3) The mean height of 12 boys is 5.1 feet. The mean height of 8 girls is 4.8 feet.

a) What is the total height of the boys?

b) What is the total height of the girls?

c) What is the mean height of the 20 boys and girls all together?

4) The following data represents the number of advertisements received by ten families during the past month. Make a statement describing the 'typical' number of advertisements received by each family during the month. Be sure to include statistics to support your statement.

5) Mica's chemistry teacher bases grades on the average of each student's test scores during the trimester. Mica has been kind of slacking this year, but hasn't been too concerned because he knows that he will at least get the credit (60% = passing). However, his parents just informed him that he will not be allowed to use the car if he has any grade below a C (73%). Here are Mica's chemistry test scores for the first eight chapters:

6) Deals on Wheels: The following table lists the retail price and the dealer’s costs for 10 cars at a local car lot this past year:

b) Calculate the percent that each car was marked up Report answers rounded to the nearest one-tenth of a percent.

c) Calculate the mean, median, mode and range for the percent of mark-up.

d) Do the "amount of mark-up column" and the "percent of mark-up column" put the cars in the same order for profit? Explain or give an example.

7) Write a brief description of what the line graph for Platinum Prices shows. Be sure that you do this in context, as complete sentences, and that you include at least three observations.

8) According to the U.S. Census Bureau, "household median income" is defined as "the amount which divides the income distribution into two equal groups, half having income above that amount, and half having income below that amount." The table shows the median household income data, every 3 years, from 1975 until 2008, according to the U.S. Census Bureau.

[Figure11]

a) Construct a time plot for the median household data. Use Google Spreadsheet to do this.

b) Write a brief description of what the line plot shows. This should be done as complete sentences, in context of the distribution, and should include at least three distinct observations.

Review Exercises

For each of the following problems, decide whether you will use a combination, a permutation, or the fundamental counting principle. Then, set up and solve the problem.

9) A camp counselor is in charge of 10 campers. The kids will be going horseback riding today. There are 5 horses, so they will go in two shifts. In how many ways can the camp counselor assign campers to the specific horses for the first shift?

10) In how many ways can the camp counselor select 4 campers, out of the ten, to attend the afternoon archery class?

11) How many pizzas are possible, made of three different toppings, when 12 toppings are available to select from?

12) Luigi has 3 pairs of shoes, 7 pairs of jeans, and 8 shirts that he likes to wear and that are clean. He is going to put together an outfit for his hot date tonight. If he will choose one of each, how many outfits are possible?

13) Eleven skiers are to be in a race. Prizes will be awarded for 1st, 2nd and 3rd places. Assuming no ties, in how many ways might the prizes be awarded?

Image Attributions

• [1]^ License: CC BY-NC 3.0
• [2]^ License: CC BY-NC 3.0
• [3]^ License: CC BY-NC 3.0
• [4]^ License: CC BY-NC 3.0
• [5]^ License: CC BY-NC 3.0
• [6]^ License: CC BY-NC 3.0
• [7]^ License: CC BY-NC 3.0
• [8]^ License: CC BY-NC 3.0
• [9]^ License: CC BY-NC 3.0
• [10]^ License: CC BY-NC 3.0
• [11]^ License: CC BY-NC 3.0

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