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Measures Of Dispersion

Question
CBSEENST11024387

Prove with an example that Q. D. is the average difference of the quartiles from Median.

Solution

In order to prove that Q. D. is the average difference of the quartiles from median. We calculate Q1, Q3, Q.D and median from the following data :

20, 25, 29, 30, 35, 39, 41, 48, 51, 60 and 70.

Hence, it is proved Q.D. (here 11) is the average difference of the quartiles from the median.