Question

For the moderately symmetrical distribution of age of the employees, mean = 20 and mode = 25. The approximate value of the median is:
1. \(21\dfrac{1}{3}\)
2. \(21\dfrac{2}{3}\)
3. \(22\dfrac{1}{3}\)
4. \(22\dfrac{2}{3}\)

Answer 1

Correct Answer - Option 2 : \(21\dfrac{2}{3}\)

Given

Mean = 20

Mode  = 25

Formula

3 × Median = Mode + 2 × Mean

Calculation

Median = (Mode + 2 Mean)/3

⇒ (25 + 2 × 20)/3

⇒ (25 + 40)/3

⇒ 65/3

∴ Median = 21 2/3