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How to Calculate Median
Posted by mbalectures | Posted in Descriptive statistics | 1,699 views | Posted on01-06-2010 |
Tagged Under : calculation of median for grouped data , calculation of median in statistics , how tocalculate median , how to calculate median for grouped data , how to calculate median of groupeddata , how to find median
When the obs ervations are arranged in ascending or descending order, the value which divides them into two parts is called median . Therefore median is that value below and above which 50% of observations lie. Themedian is not influenced by extreme values in the data whereas mean is affected by the outliers. So median is
better measure than mean in case the data contains extreme values. The calculation of median for ungroupeddata, grouped data and frequency distribution is slightly different .
Median of Ungrouped Data
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0, 0, 0, 0, 1, 1, 2, 3, 3, 4, 5, 6
Note: The results of median will not be affected by arranging the data in ascending or descending order.
Median of grouped Data
For grouped data median is obtained by finding the size of N/2 th value. Here N is the sum of frequenciesand can be even or odd.
Problem: Find the median of the following data.
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Median of Frequency Distribution
In case of frequency distribution median can be calculated with the help of following formula.
Where,
l = lower class boundary of the median classh = Size of the median class intervalf = Frequency corresponding to the median class
N = Total number of observations i.e. sum of the frequencies.
c = Cumulative frequency preceding median class.
Problem: In a work study investigation, the times taken by 20 men, in a firm, to do a particular job weretabulated as follows: Find the median.
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MThere are (4) Comments for the How to Calculate Median
Muhammad iqbal says...
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superb job is done by author. could u keep on posting such nice articles. it helped me a lot in mystudies..Thanks
Posted on: 1/Jun/2010@8:25 ammenuka karki says...
Good job! helped me a lot.Thanks and keep on doing this job further.
Posted on: 16/Jan/2011@4:36 pmUpendra K says...
It is precisely explained. It will be good, if general business problem is discussed.With best wishes..
Posted on: 5/Jul/2011@10:15 amojesh says...
amazing..
Posted on: 30/Sep/2011@1:46 am
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