The mean and median of a frequency distribution are 43 and 43$\cdot...

Question

The mean and median of a frequency distribution are 43 and 43$\cdot$4 respectively. The mode of the distribution is :

Accepted Answer

**Step 1 — Recall the empirical relationship.**
$$	ext{Mode} = 3\,(	ext{Median}) - 2\,(	ext{Mean})$$

**Step 2 — Substitute the given values.**
$$	ext{Mode} = 3(43{\cdot}4) - 2(43)$$

**Step 3 — Calculate.**
$$= 130{\cdot}2 - 86 = 44{\cdot}2$$

**Answer : (C) 44$\cdot$2**