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If the median = (mode + 2 mean) μ, then μ is equal to
  • a)
    3
  • b)
    1/3
  • c)
    2/3
  • d)
    2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the median = (mode + 2 mean)μ, thenμis equal toa)3b)1/3c)2/3d...
We are given the relationship:
Median=(Mode+2⋅Mean)μ
Step 1: Recall the empirical relationship
The empirical relationship between the mode, mean, and median is:
Mode=3⋅Median−2⋅Mean
Step 2: Substituting the given formula
Rearrange the given formula to solve for μ:

From the empirical relationship:
Mode+2⋅Mean=3⋅Median
Substituting into the equation for μ:
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Most Upvoted Answer
If the median = (mode + 2 mean)μ, thenμis equal toa)3b)1/3c)2/3d...
If the median equals the mode plus twice the mean, we can express this relationship mathematically as:

Median = Mode + 2 * Mean
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