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 3 years are listed below. 39 What is the mean duration? Select the correct choice below and fill in any answer box to complete your choice. 42 51 16 39 83 62 24 16 119 O A. The mean duration is minutes. (Round to one decimal place as needed.) OB. There is no mean score. Does the mean represent the center of the data? O A. The mean represents the center. OB. The mean does not represent the center because it is not a data value OC. The mean does not represent the center because it is the smallest data value. OD. The mean does not represent the center because it is the largest data value. Click to select your answer.

Answer 1

Mean= sum of all values/ Total number of observations

= 491/10

= 49.1

This is central value

Median: n= 10

So

M= value of (n/2)th observation + value of (n/2+1)th observation/2

M= value of 5th observation+ value of 6th observation/2

M= (39+42)/2

Median= 40.5

This is central value

Mode: Mode :
In the given data, the observation 16,39 occurs maximum number of times (2)

∴Z=16,39

Option A