Measures of Center Assignment

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

B

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.

Mean=4.11 Median=4.44

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.

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? ______________ What is the mean? ____________________ What is the median? ___________________ Which measure of center is the best choice for this data set? __________________

skewed 81.071 83 median

To create a histogram of the data given, identify the frequency for the given intervals. The interval 44-47 has a frequency of_____________. The interval 48-51 has a frequency of______________. The interval 56-59 has a frequency of______________.

1)3 2)4 3)1

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.

1,3,4

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? Check all that apply.

2,3,5