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.

1. 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

2. 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

3. 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.

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A histogram of the data reveals that there is a large disparity in the incomes. If we calculate the average income we find 136.15, which is high because there are a few very high incomes in this subdivision that skew the average to be very high. The median income (62) captures...

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