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If mean = (3 median – mode) x , then the value of x is
  • a)
    1
  • b)
    1/2
  • c)
    3/2
  • d)
    2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If mean = (3 median – mode) x , then the value of x isa)1b)1/2c)...
We are given the relationship:
Mean=(3⋅Median−Mode)⋅x
Step 1: Recall the empirical relationship
The empirical relationship between the mean, median, and mode is:
Mode=3⋅Median−2⋅Mean
Step 2: Compare the given formula with the empirical relationship
Rewriting the empirical formula for the mean:

Compare this with the given formula:
Mean=(3⋅Median−Mode)⋅x
Equating the two expressions for the mean:

Step 3: Solve for x
Cancel 
3⋅Median−Mode (non-zero):
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