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Find the mean, median, and mode of the data, if possible. If any of these measur

ID: 3042446 • Letter: F

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 6 years are listed below. 47 124 26 19 39 69 76 59 39 19 What is the mean duration? Select the correct choice below and fill in any answer box to complete your choice 0 A. The mean duration is 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 O B. The mean does not represent the center because it is the largest data value C. The mean does not represent the center because it is the smallest data value 0 D. The mean does not represent the center because it is not a 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. 0 B. There is no median score Does the median represent the center of the data? Round to one decimal place as needed.) ( A. The median represents the center O B. The median does not represent the center because it is the smallest 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 largest data value

Explanation / Answer

a) mean = (47+124+26+19+39....19)/10 = 51.7

Mean Represents the Cente of data

b) For medain, first rearrange the data in increasing order

19, 19, 26, 39, 39, 47, 59, 69, 76, 124

Median will be average of fifth and sixth value

Median = (39+47)/2 = 43

Mean Represents the Cente of data

c) Mode = 19, 39

mode Represents the Cente of data

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