Question

the mean is the \most sensitive\ average because it is affected by any change in the data.
a) determine the mean, median, mode, and midrange for 2, 3, 5, 6, 6, 9, 14.
b) change the 9 to 13 in part (a). determine the mean, median, mode, and midrange.
c) which averages were affected by changing the 9 to 13?
d) which averages will be affected by changing the 14 to 13 in part (a)?

a) select the correct choice below and fill in the answer boxes within your choice.
(round to the nearest tenth as needed. use a comma to separate answers as needed.)
a. the mean is 6.4, the median is 6, the mode(s) is/are 6, and the midrange is 8.
b. the mean is, the median is, there is no mode, and the midrange is.

b) select the correct choice below and fill in the answer boxes within your choice.
(round to the nearest tenth as needed. use a comma to separate answers as needed.)
a. the mean is, the median is, the mode(s) is/are, and the midrange is.
b. the mean is, the median is, there is no mode, and the midrange is.

Explanation:

Calculate measures for part (a)

Using the Mean Calculation, Median Calculation, Mode Calculation, and Midrange Calculation knowledge points

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Calculate measures for part (b)

Using the Mean Calculation, Median Calculation, Mode Calculation, and Midrange Calculation knowledge points

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Determine affected averages for part (c)

Comparing the results from part (a) and part (b):

• Mean changed from \(6.4\) to \(7.0\).
• Median remained \(6\).
• Mode remained \(6\).
• Midrange remained \(8\).

Only the mean was affected.

Determine affected averages for part (d)

Using the Mean Calculation, Median Calculation, Mode Calculation, and Midrange Calculation knowledge points

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The mean and midrange were affected.

Answer:

Question a

• A. The mean is 6.4, the median is 6, the mode(s) is/are 6, and the midrange is 8. (Correct answer)
• B. The mean is , the median is , there is no mode, and the midrange is .

Question b

• A. The mean is 7.0, the median is 6, the mode(s) is/are 6, and the midrange is 8. (Correct answer)
• B. The mean is , the median is , there is no mode, and the midrange is .

Question c

The mean was the only average affected.

Question d

The mean and midrange were affected.