Maths · Measures of dispersion; calculation of mean, median, mode of grouped and ungrouped data
In a school the mark distribution of 25 students in a mathematics examination is
In a school the mark distribution of 25 students in a mathematics examination is given below. Calculate it's mode. \( \begin{array}{cccc}30- & 40- & 50- & 6 \\ 40 & 50 & 60\end{array} \) Marks 2 No. of students
- A. 65
- B. 32
- C. 34
- D. 31
Step-by-step solution
Assuming the frequencies for the classes 30-40, 40-50, 50-60 are 2, 6, and 17 respectively (total 25), the modal class is 40-50. Using the formula Mode = L + (f1 - f0) / (2f1 - f0 - f2) * h, we get Mode = 40 + (6-2) / (12-2-17) * 10 = 40 + 4/(-7) * 10 = 40 - 5.714 = 34.286 ≈ 34.
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