Suppose you have already calculated the mean, the average deviation, and the standard deviation of the weights in pounds of 20 third-graders. a. if these weights were converted to kilograms and the mean and the average deviation were once again calculated, would the second average deviation be (numerically) less than, greater than, or equal to the first average deviation? Explain your answer.b. If the standard deviation of these weights were calculated in kilograms, would it be (numerically) less than, greater than, or equal to the first standard deviation? Explain your answer

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Asked Dec 4, 2019
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Suppose you have already calculated the mean, the average deviation, and the standard deviation of the weights in pounds of 20 third-graders. 

a. if these weights were converted to kilograms and the mean and the average deviation were once again calculated, would the second average deviation be (numerically) less than, greater than, or equal to the first average deviation? Explain your answer.

b. If the standard deviation of these weights were calculated in kilograms, would it be (numerically) less than, greater than, or equal to the first standard deviation? Explain your answer

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Expert Answer

Step 1

(a)

 

Condition for Average Deviation:

 

If the value of the observation is increased or decreased by a constant value, then the mean also increases or decreases by the same constant. And hence, average deviation also changes.

 

Explanation:

 

From the given information, the mean and average deviation of the weights are calculated in terms of pounds.

After that, the weights are converted into kilograms. And 1 p...

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