Median word problem

The median of a set of data containing 9 items was found. Four data items were added to the set. Two of these items were greater than the original median, and the other 2 items were less than the original median. Which of the following statements must be true about the median of the new data set?
A. It is the average of the 2 new lower values.
B. It is the same as the original median.
C. It is the average of the 2 new higher values.
D. It is greater than the original median.
E. It is less than the original median.

How can I show that the median is the same as the original median? (the answer)

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Originally Posted by donnagirl

The median of a set of data containing 9 items was found. Four data items were added to the set. Two of these items were greater than the original median, and the other 2 items were less than the original median. Which of the following statements must be true about the median of the new data set?
A. It is the average of the 2 new lower values.
B. It is the same as the original median.
C. It is the average of the 2 new higher values.
D. It is greater than the original median.
E. It is less than the original median.

How can I show that the median is the same as the original median? (the answer)

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Try using a mock data set to get the feel of things.

I've tried that but it gets too abstract for me later on in the problem :(

Quote:

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Originally Posted by donnagirl

I've tried that but it gets too abstract for me later on in the problem :(

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The median of an odd number of values is the value for which there are as many other values greater than it as less than it. The result then follows immediately.

CB