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Q.

Median and mode of a data are 12 and 15. Find mean of the data.


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a

10.5

b

15

c

20.5

d

30 

answer is A.

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Detailed Solution

Given that, median is 12 and mode is 15.
So,
Mode= 3Median−2Mean  ⇒15= 3(12)−2Mean  ⇒2Mean= 36−15   ⇒2Mean= 21 ⇒Mean= 10.5  
Thus, the mean of data is 10.5.
Therefore, option (1) is correct.
 
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