In this problem, we explore the effect on the mean, median, and mode of multiplying each...

In this problem, we explore the effect on the mean, median, and mode of multiplying each data value by the same number. Consider the following data set.

4, 4, 5, 8, 12

(a) Compute the mode, median, and mean.

mode
median
mean

(b) Multiply each data value by 6. Compute the mode, median, and mean.

mode
median
mean

(c) Compare the results of parts (a) and (b). In general, how do you think the mode, median, and mean are affected when each data value in a set is multiplied by the same constant?

Multiplying each data value by the same constant c results in the mode, median, and mean increasing by a factor of c.Multiplying each data value by the same constant c results in the mode, median, and mean remaining the same. Multiplying each data value by the same constant c results in the mode, median, and mean decreasing by a factor of c.There is no distinct pattern when each data value is multiplied by the same constant.

(d) Suppose you have information about average heights of a random sample of airline passengers. The mode is 68inches, the median is 70 inches, and the mean is 70 inches. To convert the data into centimeters, multiply each data value by 2.54. What are the values of the mode, median, and mean in centimeters? (Enter your answers to two decimal places.)

mode	cm
median	cm
mean	cm

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Expert Solution

orchestra answered 1 year ago

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