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Sort the data items into numerical order (ascending is usual, but descending can be used).

The median is the number in the middle:

If there are an odd number of items in the dataset, then the median is the middle number, which is the (n+1)/2th item (where n is the number of items in the dataset).

Otherwise there is an even number of items in the dataset and the median is the mean of the two in the middle. These items are the n/2th and the (n/2 + 1)th items.

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8y ago
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8y ago
  1. Put the group of values in ascending (or descending) order.
  2. The median is the number in the middle - or the arithmetic mean of the two numbers in the middle positions.

If there are n values, then if n is odd then m = (n+1)/2 is an integer and the median is the mth value in the ordered set.


If n is even then n/2 = m and m+1 share the middle spaces. The median is the arithmetic mean of the mth and (m+1)th values. For large values of n (>30), you can ignore this fine-tuning and simply go for the n/2th value.

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8y ago

You sort the numbers by size, and then pick the element in the middle.

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Q: How do you work out the median of a group?
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