Correct Answer - Option 4 : 20
Given:
Mean is 22 and mode is 16
Concept Used:
Mean – Mode = 3 × (Mean – Median)
Mode = 3 × Median – 2 × Mean
Calculation:
Given that: mean of the set of data is 22 and the mode is 16
We know that,
Mode = 3 × Median – 2 × Mean
⇒ 16 = 3 × Median – 2 × 22
⇒ 3 × Median = 44 + 16
⇒ Median = 60/3
⇒ Median = 20
∴ The required Median is 20
Note:
For positive frequency distribution Mean > Median > Mode