# How is the median calculated in discrete series? Explain it with an example.

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How is the median calculated in discrete series? Explain it with an example.

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Calculation of median in discrete series :

Determination of median in discrete series.

1. Cumulative frequencies are determined as the first step.

2. Now, the median’s serial number is found using the following formula : M = Value of $[\frac{N+1} {2}]$ th item Where N = Σf

Example: Find out the median value of the following discrete series.

 Item-Value 2 4 6 8 10 12 14 Frequency 5 7 12 18 11 6 4

Solution:

 Item-Value Frequency Cumulative Frequency 2 5 5 4 7 12 6 12 24 8 18 42 10 11 53 12 6 59 14 4 63

M = Value of $[\frac{N+1}{2}]$ th item

= Value of $[\frac{63+1}{2}]$ th item = value of 32th item

Item 32th is included in the cumulative frequency 42. The value under cumulative frequency 42 is 8.

Hence, Median = 8

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