What is the median of this set of data values?11, 13, 14, 15, 18, 20, 23, 26A.16.5B.18C.17.5D.15SUBMITarrow_backPREVIOUS
Question
What is the median of this set of data values?
11, 13, 14, 15, 18, 20, 23, 26
A. 16.5
B. 18
C. 17.5
D. 15
SUBMIT
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Solution
The median is the middle value in a set of data when the data is arranged in ascending order. If the data set has an odd number of observations, the median is the middle number. If the data set has an even number of observations, the median is the average of the two middle numbers.
Here is the step-by-step process to find the median:
- Arrange the data in ascending order: 11, 13, 14, 15, 18, 20, 23, 26
- Count the number of data points: 8, which is an even number.
- Since the number of data points is even, the median is the average of the two middle numbers. The middle numbers are the 4th and 5th numbers in the sorted list, which are 15 and 18.
- Calculate the average of 15 and 18: (15 + 18) / 2 = 16.5
So, the median of this set of data values is 16.5. The answer is A.16.5.
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