Find the median of the data set: 1, 3, 4, 9, 8, 5, 12

Rationale

The median of the data set is 5.

To find the median, the data set must first be arranged in ascending order. Once sorted, the median is the middle value, and in this case, it is 5 as it is the fourth number in the ordered list.

A (12) YOUR ANSWER

While 12 is the highest number in the data set, it does not represent the central tendency of the numbers. The median specifically focuses on the middle value, and since there are smaller numbers in the set, 12 cannot be the median.

B (6) YOUR ANSWER

The value 6 appears in the list but does not represent the median of the ordered set. The median is determined by the middle value after sorting the data, which is not 6 in this instance.

C (6) YOUR ANSWER

This choice is identical to option B and also incorrectly suggests that 6 is the median. The proper calculation of the median shows that 6 is not the middle value in the sorted data set.

D (5) CORRECT

This is the correct answer. Once the data set is sorted as 1, 3, 4, 5, 8, 9, 12, the median, or the middle value, is indeed 5, as it is positioned fourth in the list of seven numbers.

Conclusion

The median is a measure of central tendency that identifies the middle value of a data set. In this case, the ordered set confirms that the median is 5, while other options either represent values in the set or fail to accurately reflect the median's definition. Understanding how to calculate the median is essential for interpreting data effectively.

Find the median of the data set: 1, 3, 4, 9, 8, 5, 12

The median of the data set is 5.

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