2024 · Q55
Consider the following for the next two items that follow: A frequency distribution is as follows: Marks: 18–26, 27–35, 36–44, 45–53, 54–62, 63–71, 72–80; Number of Students: 5, 7, 10, 15, 8, 3, 2. What is the mode of the distribution?
Elementary MathematicsStatistics
- A47.25
- B47.75
- C48.25
- D48.75
Explanation
The modal class is 44.5–53.5 with the highest frequency 15 (neighbors 10 and 8). Mode = L + ((f1−f0)/(2f1−f0−f2))×h. Substituting: 44.5 + ((15−10)/(30−10−8))×9 = 44.5 + 3.75 = 48.25. This is option C.