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Statistics: Evenly spaced sets

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TP
 Post subject: Statistics: Evenly spaced sets
 Post Posted: Sat Oct 18, 2008 8:40 pm 
This is not exactly a problem, but just wanted to confirm a corollary
based on the Statistics chapter in Word translations. Is it always
true that:

The mean and the median of an evenly spaced ordered set are the
same?

thanks
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StaceyKoprince
 Post subject:
 Post Posted: Tue Nov 04, 2008 1:11 pm 
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ManhattanGMAT Staff


Posts: 6077
Location: San Francisco
Yes. You have two scenarios: a set with an odd number of terms and a set with an even number of terms.

Odd # of terms:
The middle term is the median. eg 1, 3, 5, 7, 9
The middle term is also the mean. eg same as above
Median = mean = 5 in the above case

Even # of terms:
The average of the two middle terms is the median. eg 1, 3, 5, 7
The average of the two middle terms is the average. eg same as above
Median = mean = 4 in the above case

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Stacey Koprince
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ManhattanGMAT
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