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Maths Exercices
Changes in median

Here is how median is affected when we change units:

  • If you add a constant to every value, the median increases by the same constant.
  • Suppose you multiply every value by a constant. Then, the median will also be multiplied by that constant.

Find the Median for 14, 16, 19, 21, 23 and 26. Then add 3 to every value and find the new median.

The given set has an even number of value (N=6). So the median is the average of two middle numbers.


So the median is 20.

Now we add 3 to every value and find the new media:

17, 19, 22, 24, 26, and 29

The given set has an even number of value (N=6). So the median is the average of two middle numbers.


So the median is 23.

If we add 3 units to every value, then the median increases by 3 units.


Find the Median for 14, 16, 19, 21, 23 and 26. Then multiply by 3 every value and find the new median.

The given set has an even number of value (N=6). So the median is the average of two middle numbers.


So the median is 20.

Now we multiply by 3 every value and find the new media:

42, 48, 57, 63, 69, and 78

The given set has an even number of value (N=6). So the median is the average of two middle numbers.


So the median is 60.

If we multiply by 3 every value, then the median is multiplied by 3 units (60=3·20).