Algebra I S2 Measures of Center Assignment

Consider the data set shown below. 42, 43, 46, 47, 47, 48, 49, 50, 51, 53, 55, 55, 59 To create a histogram of the data given, identify the frequency for the given intervals.

3 4 1

Explain when the median of a data set is a better measure of center than the mean.

When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.

Create a dot plot of the data shown below. 20, 21, 21, 25, 20, 23, 27, 23, 24, 25, 26, 24, 23, 22, 24 Which measure of center would best describe a typical value of the data set? Why?

a, a

Fredrick hit 14, 18, 13, 12, 12, 16, 13, 12, 1, and 15 home runs in 10 seasons of play. Which statements are correct? Check all that apply.

a, c, d

For which data representation is the median the better measure of center?

b

The data set 80, 84, 79, 44, 87, 73, 89, 90, 82, 89, 93, 97, 77, and 71 is graphed below. Use the histogram to answer the questions. What type of distribution is this?

b, a, c, b

The data set shown below represents the number of times some families went out for dinner the previous week. 4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1 Create a dot plot to represent the data. What can you conclude about the dot plot of the data set? Select the three best answers.

b, c, e

The table shows the average number of pounds of trash generated per person per day in the United States from 1970 to 2010. Use the statistics calculator to calculate the mean and median. Round the answers to the nearest hundredth.

median: 4.44 mean: 4.11