Question

If the difference between mean and mode of a data is 10.5, then the difference between its median and mean is (where mode, median > mean)

• A. 5.25
• B. 21
• C. 3.5
• D. 7

Answer 1

The correct option is C 3.5

We know that,
Mode = 3 Median – 2 Mean
Subtracting mean from both the sides, we get
$\Rightarrow$ Mode – Mean = 3(Median – Mean)
$\Rightarrow$ 10.5 = 3(Median – Mean)
$\Rightarrow$ Median – Mean = $\frac{10.5}{3}$ = 3.5
Hence, the correct answer is option (c).