Name:__________________________________ Class:_________ Date:_____________

Statistics - Mean HW – Lesson 3 – Homework

1. A group of middle-school students answered the question: How many TV shows did you watch last week? The table at the right shows their data.

a. Use the data to find the mean number of TV shows watched.

b. A new value is added for Albert. He watched 51 TV shows last week.

i. Is this new value an outlier? Explain.

ii. What is the mean of the data now? Show your work.

iii. Compare this mean to the mean you found in part (a). What do you notice? Explain.

For Exercises 2 and 3, use this information.

Mr. Johnson’s class of 20 students collects 180 cans of food for the food drive. Ms. Smith’s class of 25 students collects 200 cans of food.

2. Which class has a greater mean number of cans of food?

A. Mr. Johnson’s class B. Ms. Smith’s classC. The means are equal. D. There isn’t enough information to tell.

3. Which class has a greater median number of cans of food?

A. Mr. Johnson’s class B. Ms. Smith’s classC. The medians are equal. D. There isn’t enough information to tell.

Student Number of TV Shows Watched

Caleb 17

Malek 20

Jenna 13

Mario 14

4. Three candidates are running for mayor of Slugville. Each has determined the typical income for the people in Slugville, and they are using this information to help in their campaigns.

Mayor Phillips is running for re-election. He says, “Slugville is doing great! The average income for each person is $2,000 per week!”

Candidate Lily Jackson says, “Slugville is nice, but it needs my help! The average income is only $100 per week.”

Candidate Ronnie Ruis says, “Slugville is in a lot of trouble! The average income is $0 per week.”

Some of the candidates are confused about “average.” Slugville has only 16 residents, and their weekly incomes are $0, $0, $0, $0, $0, $0, $0, $0, $200, $200, $200, $200, $200, $200, $200, and $30,600.

a. Explain which measure of center each of the candidates used as an “average” income for the town. Check their computations.

b. Does any person in Slugville have the mean income? Explain.

c. Does any person in Slugville have an income that equals the median? Explain.

d. What do you consider to be the typical income for a resident of Slugville? Explain.

e. Suppose four more people move to Slugville. Each has a weekly income of $200. How would the mean and median change?