Question

find the mean, median, and mode of the data, if possible. if any of these measures cannot be found or a measure does not represent the center of the data, explain why.

the durations (in minutes) of power failures at a residence in the last 4 years are listed below.

27 127 64 84 37 53 84 127 12 43

a. the median duration is 58.5 minutes.
(round to one decimal place as needed.)
b. there is no median score.

does the median represent the center of the data?

a. the median represents the center.
b. the median does not represent the center because it is the largest data value.
c. the median does not represent the center because it is not a data value.
d. the median does not represent the center because it is the smallest data value.

what is the mode of the durations? select the correct choice below and fill in any answer box to complete your choice.

a. the mode(s) of the durations is (are) minutes.
(use a comma to separate answers as needed.)
b. there is no mode.

Explanation:

Sort the data set

$$ 12, 27, 37, 43, 53, 64, 84, 84, 127, 127 $$

Calculate the median

$$
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$$

Determine the mode

$$
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$$

Answer:

Question 1

• A. The median duration is 58.5 minutes. (Correct answer)
• B. There is no median score.

Question 2

• A. The median represents the center. (Correct answer)
• B. The median does not represent the center because it is the largest data value.
• C. The median does not represent the center because it is not a data value.
• D. The median does not represent the center because it is the smallest data value.

Question 3

• A. The mode(s) of the durations is (are) 84, 127 minutes. (Correct answer)
• B. There is no mode.