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

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

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

Explanation:

Sum the data values

$$ \sum x = 27 + 127 + 64 + 84 + 37 + 53 + 84 + 127 + 12 + 43 = 658 $$

Count the number of data points

$$ n = 10 $$

Calculate the mean

$$ \mu = \frac{658}{10} = 65.8 $$

Answer:

• (A) The mean duration is 65.8 minutes. (Correct answer)
• (B) There is no mean score.