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Question

If Median = Mode + x (Mean - Mode), then find the value of x.


Your Answer
A
3
Your Answer
B
2
Your Answer
C
13
Correct Answer
D
23

Solution

The correct option is D 23
We know that,
Mode = 3 Median - 2 Mean
3 Median = Mode + 2 Mean
Median =13Mode+23Mean
On adding and subtracting 23Mode in RHS, we get:
Median =13Mode+23Mean+23Mode23Mode
               =Mode+23(Mean - Mode)

Therefore, x=23

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