# Median

According to Connor, the median of a series, is that value of the variable which divides the group into two equal parts, one part comprising values which are greater and the otherÂ values lesser than the median. If the values of x_{i} in a raw data are arranged in order of increasing or decreasing magnitude, the middle-most value in the arrangement is called the median.

**For computation of median of an ungrouped data, proceed as follows:**

1. Arrange the values of the variate in ascending or descending order of magnitude.

2. Take the middle-most value of the arrangement as the median.

3. If the number of values (n) in the raw data is odd, the median will be the ()^{th} value of the arrangement.

4. If the number of values (n) in the raw data is even, the two middle most values ()^{th} and ( +1)^{th} will determine the median.

The arithmetic mean of these two values will give the exact median.

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Find the median of the following values of a variate 10, 2, 3, 2, 5, 7, 9, 11, 6

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Arranging the values in the ascending order. We get:

2, 2, 3, 5, 6, 7, 9, 10, 11

Here number of observationsÂ

*n *= 9 (odd)

\Median = size of the ()th term

\Median = size of the ()th term

Â Â Â Â Â Â Â Â = size of the 5th term

Â Â Â Â Â Â Â Â = 6

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