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If mean and median of a frequency distribution are 20 and 22 respectively, then the mode of the distribution will be:

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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, ​\( Mean-Mode=3(Mean-Median) \)​ 
\( \implies Mean-Mode=3Mean-3Median \)
\( \therefore Mode=3Median-2Mean \)​ 
\( \therefore Mode=3(22)-2(20) \)​ 
\( \therefore Mode=26 \)​ 
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