A company that makes dog harnesses is interested in the weights (in pounds) of b

Question

A company that makes dog harnesses is interested in the weights (in pounds) of bulldogs. They collect the following data. Weights of Selected Dogs 55.2 63.5 45.6 48.7 30.5 71.5 58.4 53.6 48.3 59.1 28.2 49.4 59.3 58 71.4 68 62.3 64.6 69.3 63.9 72.8 80.1 58.4 64.3 49.2 44.6 49.1 50.3 50.6 59.3 H JMP Applet = S ? - Distributions - Bulldog Weight (in lbs) - Quantiles 100.0% maximum 80.1 99.5% 80.1 97.5% 80.1 90.0% 71.49 75.0% quartile 64.375 50.0% median 58.4 25.0% quartile 49.175 AA 7 Click here to access the JMP applet in a new window. Me Std Std Up! LOV N 40 no/. (a Using the JMP applet, determine the sample size, mean, and median. sample size |- bulldogs mean 56.9 * Ib median 58.4 |- lb 30 H (C) For the median, select the correct description of the measure of center from the following. (Select all that apply.) . 1. The median gives the weight such that 50% of the sampled data falls below this weight, and 50% falls above. 2. The median is always the best indicator of the center of a data set. 3. Half of the selected dogs weigh less than the median. 4. 25% of the dogs selected for this study weigh more than the median. 5. 25% of the dogs selected for this study weigh less than the median. 6. The median is the most common weight (to one decimal place).

Explanation / Answer

Ans:

Median gives the weight such that 50% of the sampled data falls below this weight and 50% falls above.

(2,4,5,6 are incorrect)

55.2 63.5 45.6 48.7 30.5 71.5 58.4 53.6 48.3 59.1 28.2 49.4 59.3 58 71.4 68 62.3 64.6 58.4 median 69.3 63.9 72.8 80.1 58.4 64.3 56.91667 mean 49.2 44.6 49.1 50.3 50.6 59.3

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