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 mean duration is 65.8 minutes.
(round to one decimal place as needed.)
b. there is no mean score.

does the mean represent the center of the data?

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

what is the median duration? select the correct choice below and fill in any answer box to complete your choice.

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

Explanation:

Sort the data set in ascending order

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

Identify the middle values for median calculation

$$
LATEXBLOCK0
$$

Calculate the median

$$ \text{Median} = \frac{53 + 64}{2} = 58.5 $$

Answer:

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