2026 · Q96
Consider the following grouped data : Class – Frequency : 0–10 – 4; 10–20 – 8; 20–30 – 15; 30–40 – 10; 40–50 – 3. What is the mode of the above distribution?
Elementary MathematicsStatistics
- A25.83
- B25.43
- C25.00
- D24.73
Explanation
The modal class is 20–30, which has the highest frequency 15. Applying the mode formula l + h(f₁ − f₀)/(2f₁ − f₀ − f₂) gives 20 + 10(15 − 8)/(30 − 8 − 10) = 20 + 70/12 = 25.83. Hence option A.