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Q.

State whether the following is true or false.


Mean and median of a data are equal, then mode is also equal to mean.


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a

True

b

False 

answer is A.

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Detailed Solution

Given that, mean and median are equal.
Let, mean be x.
So, Mean = Median = x
Now,
Mode= 3Median−2Mean  ⇒Mode= 3(x)−2(x) ⇒Mode= x   
We get mode is also x.
Thus, if mean and median of a data are equal, then mode is also equal to mean.
So, the given statement is true.
Therefore, option (1) is correct.
 
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State whether the following is true or false.Mean and median of a data are equal, then mode is also equal to mean.