 Posted by Anjali Kaur on Jul 22, 2021 # Median Under Less Than Cumulative Frequency Distribution

Median is the mid-value of any given series. To find median under less than cumulative frequency distribution, when continuous series is given to us. We need to correct the class intervals and find the frequencies related to that class interval.

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## How to find median in case of less than cumulative frequency distribution?

The following steps are to be applied to find the median:

1. Re-write the given table by creating Class intervals.
2. Given the number of students is cumulative frequency. Find frequency by doing subtraction, but keeping the first frequency and cumulative frequency as same.
3. For frequency calculation; Present CF – Previous CF
4. Find the median class using N/2, where N is the sum of frequency. Locate the number obtained in the cumulative frequency and select the next number available in CF. Bold this, it is median class.
5. Apply the median formula.

## Calculate median of the following series:

Step 1: Re-write the given table by creating Class intervals.

Step 2: Given the number of students is cumulative frequency. Find frequency by doing subtraction, but keeping the first frequency and cumulative frequency as same.

Step 3: Find the median class using N/2

Where N is the sum of frequency. Median Class = 150/2 = 75.

Locate 75 (N/2) in cumulative frequency and pick the next number available in cf after 75.

Median = Lower limit of the median class + {(N/2) – Previous CF} * Class Interval/ Existing frequency

Median = 40 + {(75 – 58) * 10}/ 22

Median = 40 + 170/22

Median = 40 + 7.727

Median = 47.727 or 47.73 (Approx)

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