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Solution


Q.

If the difference of Mode and Median of a data is 24, then the difference of median and mean is
1 8  
2 12  
3 24  
4 36  

Ans.

(2)

mode – median = 24 (given)

∴ mode = 24 + median

Since, mode = 3 median – 2 mean [By empirical relation]

∴ 24 + median = 3 median – 2 mean

⇒ 2 median – 2 mean = 24

⇒ median – mean = 12