How to Work Out The Median From a Frequency Table

In this article I will explain how you can find the median average from a frequency table.

To work out the median average from a frequency table follow these steps:

1) Add up the frequency column.

2) Add 1 to the total frequency (note: this step can be left out if the total frequency is quite large)

3) Halve the answer from step 2. This tells you where the median frequency occurs at (the middle value).

4) Now, go down the frequency table adding them up as you go along, until you go past the middle value which you worked out in step 3.

Example 1

Work out the median score from this frequency table.

1) Add up the frequency column.

3 + 3 + 7 + 3 + 11 = 27

2) Add 1 to the total frequency (note: this step can be left out if the total frequency is quite large)

27 + 1 = 28

3) Halve the answer from step 2. This tells you where the median frequency occurs at (the middle value).

½ of 28 = 14th value down the frequency table.

4) Now, go down the frequency table adding them up as you go along, until you go past the middle value which you worked out in step 3.

3 + 3 + 7 + 3 = 16, so you have gone past the median number in the 4th row. So the median is 80%.

Example 2

Work out the median height from this frequency table.

1) Add up the frequency column.

7 + 2 + 3 + 1 + 4 = 17

2) Add 1 to the total frequency (note: this step can be left out if the total frequency is quite large)

17 + 1 = 18

3) Halve the answer from step 2. This tells you where the median frequency occurs at (the middle value).

½ of 18 = 9th value down the frequency table.

4) Now, go down the frequency table adding them up as you go along, until you go past the middle value which you worked out in step 3.

7 + 2 = 9, so you have gone past the median number in the 2nd row. So the median height is 172cm.

Other Useful Links on averages.

More help on the median average.

Finding the mean from a frequency table.

The median from a list of numbers.

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One Response to “How to Work Out The Median From a Frequency Table”
  1. jess Says...

    On June 9, 2011 at 4:32 pm

    it makes such sense now

    many thanks
    jess


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