MCQ
Mean – Mode =
  • A
    $3$(Mode – Mean)
  • $3$(Mean – Median)
  • C
    $3$(Median – Mean)
  • D
    $3$(Mean – Mode)

Answer

Correct option: B.
$3$(Mean – Median)

Since, Mean – Mode + Mean + $2$ Mode = $3$ Median
$\Rightarrow $ Mean – Mode = $3$ Median – Mean – $2$ Mode
$= 3$ Median – Mean – $2 (3$ Median – $2$ Mean$)$
$= 3$ Median – Mean – $6$ Median + $4$ Mean
$= 3$ Mean – $3$ Median
$= 3$ (Mean – Median)

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