Measures of center Assignment

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? the mean nor the median would be best, because the data distribution is

1.) The mean 2.) Nearly Symmetrical

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 set?

1.) skewed 2.)81.071 3.)83 4.)median

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. The interval 44-47 has a frequency of . The interval 48-51 has a frequency of . The interval 56-59 has a frequency of

3 4 1

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 = Mean =

4.44 4.11

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. Fredrick's data set contains an outlier. The median value is 12 home runs. The mean value is about 12.6 home runs. The median describes Fredrick's data more accurately than the mean. The mean value stays the same when the outlier is not included in the data set.

A, C, D

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. The range of the number line should be 0 to 7 to represent the frequency. Four families said they ate out twice the previous week. One family said they ate out 5 times the previous week. The data set is symmetrical. The median best represents the data set.

B, C, E

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

B.

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

Sample Response: 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.