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# M28-42

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Math Expert
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General Discussion
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fitzpratik wrote:
can someone please explain why mean of set A is 3?
thanks a ton

$$A=\{ 3-2x, \ 3-x, \ 3, \ 3+x, \ 3+2x\}$$,

Mean = (the sum of the terms)/(the number of the terms) = (3 -2x + 3 - x + 3 + 3 + x + 3 + 2x)/5 = 15/5 = 3.

Hope it helps.
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fitzpratik wrote:
can someone please explain why mean of set A is 3?
thanks a ton

I understood, As the terms are equally spaced out, Median = Mean. so as median is 3, Mean is 3. Am I right?
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Q51  V47
fitzpratik wrote:
I understood, As the terms are equally spaced out, Median = Mean. so as median is 3, Mean is 3. Am I right?

Yes, you're right. It's an equally spaced set (going up by x from one term to the next), so the median, which is 3, must also be the mean.
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Thanks Bunuel and IanStewart
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I think this is a high-quality question and I agree with explanation.
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This is a great question. I was able to eliminate A but while solving B i assumed that x is not equal to 0. I think it is important to move on from statement to statement otherwise there is a high probability of making a mistake.
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I think this is a high-quality question and I agree with explanation.
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
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