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For each of the following data sets, select the best measure of central tendency

ID: 3077673 • Letter: F

Question

For each of the following data sets, select the best measure of central tendency. In a few sentences, explain why your selection is the best measure. Then compute that measure of central tendency for the data.

Approximate average household incomes for families that live in the Fallen Pines subdivision (in thousands of dollars: 55, 59, 39, 67, 54, 90, 62, 60, 840, 390, 450, 96, 55, 55, 29, 66, 62, 45, 80, 69
Area of residential lot in acres: 0.19, 0.24, 0.24, 0.24, 0.26, 0.26, 0.27, 0.19, 0.22, 0.26, 0.27, 0.28, 0.3, 0.3, 0.3, 0.19, 0.19, 0.22, 0.22, 0.24
Brand of automobile owned by families that live in the Fallen Pines subdivision: Subaru, Subaru, Chrysler, Honda, BMW, Subaru, Ford, GM, Toyota, Ford, Toyota, Subaru, Honda, Toyota, Ford, GM, Mercedes Benz, Lexus, Volkswagen, Subaru

Explanation / Answer

Evaluating Measures of Central Tendency For each of the following data sets, select the best measure of central tendency. In a few sentences, explain why your selection is the best measure. Then compute that measure of central tendency for the data. Approximate average household incomes for families that live in the Fallen Pines subdivision (in thousands of dollars: 55, 59, 39, 67, 54, 90, 62, 60, 840, 390, 450, 96, 55, 55, 29, 66, 62, 45, 80, 69 Area of residential lot in acres: 0.19, 0.24, 0.24, 0.24, 0.26, 0.26, 0.27, 0.19, 0.22, 0.26, 0.27, 0.28, 0.3, 0.3, 0.3, 0.19, 0.19, 0.22, 0.22, 0.24 Brand of automobile owned by families that live in the Fallen Pines subdivision: Subaru, Subaru, Chrysler, Honda, BMW, Subaru, Ford, GM, Toyota, Ford, Toyota, Subaru, Honda, Toyota, Ford, GM, Mercedes Benz, Lexus, Volkswagen, Subaru Approximate average household incomes for families that live in the Fallen Pines subdivision (in thousands of dollars: 55, 59, 39, 67, 54, 90, 62, 60, 840, 390, 450, 96, 55, 55, 29, 66, 62, 45, 80, 69 The median would be the best measure of central tendency since the data is skewed. Median = 62 Area of residential lot in acres: 0.19, 0.24, 0.24, 0.24, 0.26, 0.26, 0.27, 0.19, 0.22, 0.26, 0.27, 0.28, 0.3, 0.3, 0.3, 0.19, 0.19, 0.22, 0.22, 0.24 The arithmetice average would be the best measure of central tendency since the data does not appear to be skewed. Arithmetic average = 0.24 Brand of automobile owned by families that live in the Fallen Pines subdivision: Subaru, Subaru, Chrysler, Honda, BMW, Subaru, Ford, GM, Toyota, Ford, Toyota, Subaru, Honda, Toyota, Ford, GM, Mercedes Benz, Lexus, Volkswagen, Subaru The best measure of central tendency is the mode since the data is qualitative.

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