What is the median of the following set of data: 11, 12, 18, 14, 22, 17, 17, 12, 26, 12, 13?

Rationale

The median of the given set of data is 14.

The median is a measure of central tendency that represents the middle number in an ordered set of data. If the data set contains an odd number of observations, the median is the middle number. If the data set contains an even number of observations, the median is the average of the two middle numbers.

A (12) YOUR ANSWER

This is incorrect because 12 is not the middle value in the sorted list. It is also not the average of the two middle numbers in the sorted list.

B (14) CORRECT

This is the correct answer because when the data set is arranged in ascending order (11, 12, 12, 12, 13, 14, 17, 17, 18, 22, 26), 14 is the value in the middle.

C (15) YOUR ANSWER

This is incorrect because 15 is not a value in the data set and thus cannot be the median.

D (15.8) YOUR ANSWER

This is incorrect because 15.8 is not a value in the data set. Moreover, the median of a set of numbers is not affected by the magnitude of the numbers in the set, so it's not relevant to calculate an average.

Conclusion

In conclusion, the median of a data set is the middle value when the data is sorted in ascending order. For the given set of data, the median is 14. This is due to the fact that 14 is the middle number when the data set is sorted in increasing order. Options A, C, and D are incorrect because they either do not exist in the data set or they are not the middle value in the sorted list.

What is the median of the following set of data: 11, 12, 18, 14, 22, 17, 17, 12, 26, 12, 13?

The median of the given set of data is 14.

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