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What is the mean of the mode, median and range of the data given below? 17, 8, 11, 13, 9, 14, 10, 11, 16, 23, 15, 7
Question

What is the mean of the mode, median and range of the data given below?
17, 8, 11, 13, 9, 14, 10, 11, 16, 23, 15, 7

A.

13.5

B.

12

C.

12.5

D.

13

Correct option is D

17, 8, 11, 13, 9, 14, 10, 11, 16, 23, 15, 7
First, find the mode, median, and range of the data.
The mode is the most frequent number in the data set. In this case, the mode is 11, since it appears twice.
The median is the middle number when the data is arranged in order from least to greatest. In this case, the data in order is:
7, 8, 9, 10, 11, 11, 13, 14, 15, 16, 17, 23
Since there are 12 numbers in the data set, the median is the average of the 6th and 7th numbers: (11 + 13) / 2 = 12
The range is the difference between the largest and smallest numbers in the data set. In this case, the range is 23 - 7 = 16
Now, calculate the mean of the mode, median, and range:
(11 + 12 + 16) / 3 = 13
Therefore, the mean of the mode, median, and range is 13. So the answer is (d) 13.

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