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Measures of Central Tendency Geeta Sukhija Associate Professor Department of Commerce

Measures of Central Tendency Geeta Sukhija Associate Professor Department of Commerce Post Graduate Government College for Girls Sector 11, Chandigarh. Arithmatic Mean.

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Measures of Central Tendency Geeta Sukhija Associate Professor Department of Commerce

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  1. Measures of Central Tendency GeetaSukhija Associate Professor Department of Commerce Post Graduate Government College for Girls Sector 11, Chandigarh

  2. Arithmatic Mean AM is the number which is obtained by adding the values of all the items of a series and dividing the total by the number of items Types of Arithmetic mean Simple Weighted

  3. Calculation of Simple Arithmetic Mean Arithmetic Mean Individual Series Discrete Series Continuous Series

  4. Calculation of Arithmetic Mean in Individual Series Individual Series Direct Method Short-Cut Method X=ΣX/N AM=A+Σd/N

  5. Calculation of Arithmetic Mean in Discrete Series Discrete Series Step Deviation Method Direct Method Short-Cut Method AM=A+Σfd/Σf AM=A+Σfď/Σf xC AM=ΣfX/Σf

  6. Calculation of Arithmetic Mean in Continuous Series Continuous Series Step Deviation Method Direct Method Short-Cut Method AM=A+Σfdx/Σf AM=A+Σfdx’/Σf x C AM=Σfm/Σf

  7. Weighted A.M. Weighted A.M Direct Method Short Cut method Weighted AM=ΣWX/ΣW Weighted AM=Aw+ΣWd/ΣW

  8. Median It is centrally located value of a series such that half of the values of the series are above it and the other half below it. To calculate it, all the items of the series are arranged in either the ascending order or descending order Median is found by using following formula M= Size of (N+1)/2 th item

  9. Median Median Individual Series Discrete Series Continuous Series

  10. Calculation of Median in Individual series Arrange all the values of different items of a series in he ascending or descending order and provide serial number to all the values. Add up the items and indicate them by N. Median is the size of (N+1)/2th item If N is an even number then the size of (N+1)/2 th will come in fractions. In such case median will be the AM of the two middle values of the series.

  11. Calculation of Median in Discrete series Steps: Convert the simple frequencies into cumulative frequencies. Determine the size of (N+1)/2 th item of the series. N=Σf Find the median value corresponding to the size of (N+1)/2 th item So Median =value of size of (N+1)/2 th item

  12. Calculation of Median in Continuous series Steps: Frequencies are first converted into cumulative frequencies. Median class is identified. It corresponds to that cumulative frequency which includes the size of N/2 th item where N=Σf So Median =l1 N/2-cf + _______ i X f

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