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What is the median value of the cable test ?

Started by Quentin Beauvilliers, November 29, 2014, 02:56:24 PM

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Quentin Beauvilliers




What is the median value of the cable test ?

when several test result have been obtained and ordered in an increasing or decreasing succession, the median value is the middle value if the number of available values is odd, and is the mean of the two middle values if the number is even

Quentin Beauvilliers

Example: find the Median of 12, 3 and 5

Put them in order:

3, 5, 12

The middle number is 5, so the median is 5.



Example:

3, 13, 7, 5, 21, 23, 39, 23, 40, 23, 14, 12, 56, 23, 29

When we put those numbers in order we have:

3, 5, 7, 12, 13, 14, 21, 23, 23, 23, 23, 29, 39, 40, 56

There are fifteen numbers. Our middle number will be the eighth number:

3, 5, 7, 12, 13, 14, 21, 23, 23, 23, 23, 29, 39, 40, 56

The median value of this set of numbers is 23.


Example:

3, 13, 7, 5, 21, 23, 23, 40, 23, 14, 12, 56, 23, 29

When we put those numbers in order we have:

3, 5, 7, 12, 13, 14, 21, 23, 23, 23, 23, 29, 40, 56

There are now fourteen numbers and so we don't have just one middle number, we have a pair of middle numbers:

3, 5, 7, 12, 13, 14, 21, 23, 23, 23, 23, 29, 40, 56

In this example the middle numbers are 21 and 23.

To find the value half-way between them, add them together and divide by 2:

21 + 23 = 44
44 ÷ 2 = 22

So the Median in this example is 22.

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