A survey was conducted on the prices of 30 randomly selected houses in two different towns. Fifteen of the houses are in Madison, and 15 of the houses are in Brandon. The following data was calculated from the house prices. (Note: The data is in hundred thousands.) Madison Brandon Mean $250 $236 Median $240 $215 Mode $249 $205 Range $650 $762 Based on these samples, what generalization can be made? A. The total prices of the houses are higher in Brandon than in Madison. B. The total prices of the houses are higher in Madison than in Brandon. C. The range of house prices is higher in Madison than in Brandon. D. The median house price is higher in Brandon than in Madison.

Question

Mathematics

Matthias Stein

5 January, 18:03

A survey was conducted on the prices of 30 randomly selected houses in two different towns. Fifteen of the houses are in Madison, and 15 of the houses are in Brandon. The following data was calculated from the house prices. (Note: The data is in hundred thousands.) Madison Brandon Mean $250 $236 Median $240 $215 Mode $249 $205 Range $650 $762 Based on these samples, what generalization can be made? A. The total prices of the houses are higher in Brandon than in Madison. B. The total prices of the houses are higher in Madison than in Brandon. C. The range of house prices is higher in Madison than in Brandon. D. The median house price is higher in Brandon than in Madison.

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Salma · Answer 1

The correct answer is B.

The reason is that the mean, median, and mode are good ways to give a one number value to the data that is represented. All 3 of these values are higher in the town of Madison than in Brandon. This is a strong indicator that the houses have a higher value in Madison.

The range also tells is how spread out the numbers are, and the range is smaller in Madison telling you that the prices of these houses are closer together. This supports our statement about Madison's house prices being higher. There is more consistency in these house prices.