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# What is the median of a certain set of 7 numbers?

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Re: What is the median of a certain set of 7 numbers? [#permalink]
Hi All,

gurpreetsingh's approach to TEST VALUES was perfect for this DS question, but you can make it even easier. The prompt did NOT state that the 7 numbers had to be different/distinct/unique, so you CAN use duplicate numbers to save some time.

We're asked to find the MEDIAN of a group of 7 numbers. To do so, we need to arrange the numbers from least to greatest, then find the "4th" term.

Fact 1: 3 of the numbers are less than 10

Let's TEST VALUES:

IF the numbers are...
4 4 4 11 11 11 11
Then the median is 11

4 4 4 12 12 12 12
Then the median is 12
Fact 1 is INSUFFICIENT

Fact 2: 4 of the numbers are greater than 10

We can use the SAME TESTs that we used above...
Fact 2 is INSUFFICIENT

Combined, we can ALSO use the SAME TESTs from above.
Combined, INSUFFICIENT

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Re: What is the median of a certain set of 7 numbers? [#permalink]
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Re: What is the median of a certain set of 7 numbers? [#permalink]
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