Question

The durations (minutes) of 26 electric power outages in the community of Sonando Heights over the past five years are shown below.

32 44 25 66 27 12 62 9 51 4 17 50 35 99 30 21 12 53 25 2 18 24 84 30 17 17

(a) Find the mean, median, and mode. (Round your answers to 2 decimal places.)

Descriptive Statistics Data

Mean - ?

Median - ?

Mode - ?

(B) Is the mode a good measure of center for this data set?

Yes or No

(C) Is the distribution skewed?

Yes, the distribution is skewed right.

Yes, the distribution is skewed left.

No, the distribution is symmetric.

Answer 1

Given that the data 32, 44, 25, 66, 27, 12, 62, 9, 51,4, 17, 50, 35, 99, 30, 21, 12, 53, 25, 2, 18, 24, 84, 30, 17, 17. Number of samples in data n = 26. A)

Now we have to find the mean. sum of the samples in data Mean number of the samples in data = 33.3077 :: Mean 33.3077 Now we have to find the median. Median : mean of middle two values of ascending ordered data, if number of samples in data is even. middle value of ascending ordered data, if number of samples in data is odd. Using excel formula =MEDIAN(32, 44, 25, 66, 27, 12, 62, 9, 51, 4, 17, 50, 35, 99, 30, 21, 12, 53, 25, 2, 18, 24, 84, 30, 17, 17) We got median = 26. : Median 26

Now we have to find the mode. Definition: Mode is a number(s) which has highest occurence in the data. Number of occurences of 17 = 3, has highest occurence in the data. :: Mode = 17 B) :: No, mode is not a good measure of center for this data set. C) If median is closer to the lower end of the box, then data is right- skewed. If median is closer to the upper end of the box, then data is left- skewed. If median is at middle of the box, then data is symmetric. -- Yes, the distribution is skewed right.

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