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1.15.3 Comparing Measures Use the Comparing Data card sets to complete the following task. Before beginning the task, review the provided cards and choose only specific data sets to explore. Record the data sets you have decided to explore in the section below. The first example is done for you. ● Data Set A: This will refer to card 1. ● Data Set B: Choose between cards 2, 3, or 4: _____________________ ● Data Set C: This will refer to card 5. ● Data Set D: Choose between cards 6 or 7: _____________________ Study the card you selected for Data Set A (see above): Task Your Answer and Explanation 1 Which data set card are you looking at? Determine the best measure of center and measure of variability to use based on the shape of the distribution. The mean and the mean absolute deviation are the best measures of center and variability to use for these distributions since they are both symmetric dot plots. Determine which dot plot on your card has the greatest measure of center. The mean for distribution 1a is greater since the center is to the right of the center for distribution 1b. Determine which dot plot on your card has the greatest measure of variability. The mean absolute deviation for distribution 1a is also greater since most of the data is farther away from the mean than in distribution 1b. Study the card you selected for Data Set B (see above): Task Which data set card are you looking at? Determine the best measure of center and measure of variability to use based on the shape of the distribution. Determine which dot plot on your card has the greatest measure of center. Your Answer and Explanation Determine which dot plot on your card has the greatest measure of variability. Study the card you selected for Data Set C (see above): Task Your Answer and Explanation 5 Which data set card are you looking at? Determine the best measure of center and measure of variability to use based on the shape of the distribution. Determine which dot plot on your card has the greatest measure of center. Determine which dot plot on your card has the greatest measure of variability. Study the card you selected for Data Set D (see above): Task Which data set card are you looking at? Determine the best measure of center and measure of variability to use based on the shape of the distribution. Determine which dot plot on your card has the greatest measure of center. Your Answer and Explanation Determine which dot plot on your card has the greatest measure of variability.