Hi, there. I'm happy to talk a little about this.

You're perfectly right about Statement #2 -- it's not only insufficient --- it's completely useless.

Statement #1 says that the numbers are evenly-spaced, separated by steps of length 2.

They could be all evens: 6, 8, 10, 12, 14, . . . .

Or, they could be all odds: 5, 7, 9, 11, 13, . . . .

And actually, it doesn't matter. Here's a really easy rule-of-thumb to remember:

on any list where all the numbers are even-spaced, the mean equals the median. Period. Starting point doesn't matter. Size of the space between the numbers doesn't matter. Even-spacing ---> mean = median.

The reason is: the mean always equals the median when the data is symmetric, and when each step is identical, then the whole set has mirror symmetry (imagine them as evenly-spaced dots on a number line).

Does that make sense? If you have any further question, please do no hesitate to ask.

Mike

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Mike McGarry

Magoosh Test Prep