What is the value of k?
For the following two (02) items: Consider the following distribution having median value 24 : Marks | Number of Students Less than 10 | 5 Less than 20 | 30 Less than 30 | 30 + k Less than 40 | 48 + k Less than 50 | 55 + k
- A. 20
- B. 22
- C. 25 ✓
- D. 30
Correct Answer: C. 25
Explanation
Converting to standard class intervals gives frequencies: 0-10 (5), 10-20 (25), 20-30 (k), 30-40 (18), 40-50 (7). Applying the median formula 24 = 20 + \frac{(55+k)/2 - 30}{k} \times 10, solving for k yields k = 25.
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