2026 · Q98
Consider the following discrete grouped data : x – f : 12 – 6; 14 – 8; 10 – 10; 16 – 9; 18 – 3. What is the arithmetic mean of the above distribution?
Elementary MathematicsStatistics
- A13.69
- B13.39
- C13.19
- D13.09
Explanation
Compute Σfx = 12·6 + 14·8 + 10·10 + 16·9 + 18·3 = 72 + 112 + 100 + 144 + 54 = 482. The total frequency is Σf = 6 + 8 + 10 + 9 + 3 = 36. The arithmetic mean is therefore 482/36 ≈ 13.39, option B.