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mean=median

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
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by uptowngirl92 » Mon Nov 02, 2009 10:33 am
Hey guys was jus wondering:
We know,
Mean=median for a set of consecutive integers..

Can we safely extend this rule to sum of consecutive EVEN/ODD integers??
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by punitkaur » Mon Nov 02, 2009 12:26 pm
Yes I believe it applies to all kinds of evenly spaced numbers.

for example - 4,7,10,13
mean=17/2
median=17/2
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by palvarez » Mon Nov 16, 2009 1:30 pm
uptowngirl92 wrote:Hey guys was jus wondering:
We know,
Mean=median for a set of consecutive integers..

Can we safely extend this rule to sum of consecutive EVEN/ODD integers??
Mean = median for any symmetric distribution.

Non-symmetric distributions can have mean = median.

Arithmetic progression is a symmetric distribution.
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by grockit_jake » Tue Nov 17, 2009 10:53 am
If you have n consecutive odd/even numbers, and n is ODD, then both the mean and median = the (n+1)/2 -th term.

If you have n consecutive odd/even numbers, and n is EVEN, then mean and median = nth term + 1

Same rules apply for all arithmetic progressions.
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