Question 47
Measures of Central TendencyClass interval (frequency): 1.5-1.9 (2), 2.0-2.4 (1), 2.5-2.9 (4), 3.0-3.4 (15), 3.5-3.9 (10), 4.0-4.4 (5), 4.5-4.9 (3). The class boundaries are 1.45-1.95, 1.95-2.45, … , 4.45-4.95 and the class mid-points 1.7, 2.2, 2.7, 3.2, 3.7, 4.2, 4.7.
Find the mode of the distribution.
- A.3.2
- B.3.4
- C.3.7
- D.4.2
Show the answer and explanation
Answer: A (3.2)
Explanation
The modal class is 3.0–3.4 (boundaries 2.95–3.45). Mode = 2.95 + 11/(11 + 5) × 0.5 ≈ 3.29, which is closest to 3.2.