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Question:
If mean and median of a frequency distribution are 20 and 22 respectively, then the mode of the distribution will be:
(1) 21
(2) 16
(3) 26
(4) 11
Answer:
Here, ​\( Mean=20 \)​ and ​\( Median=22 \)​.
We have, ​\( Mean-Mode=3(Mean-Median) \)​Â
​\( \implies Mean-Mode=3Mean-3Median \)​
​\( \therefore Mode=3Median-2Mean \)​Â
​\( \therefore Mode=3(22)-2(20) \)​Â
​\( \therefore Mode=26 \)​Â
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