CBSE Class 10 Mathematics Basic 2026: question 16
Set in the CBSE Class 10 board exam of 2026, paper 430/1/1, section A, question 16, for 1 mark. Try it first; the hints and our step-by-step solution are below.
Q16 · 1 mark · MCQStatistics
The class mark of the median class of the following data is :
| Class Interval | 10 – 25 | 25 – 40 | 40 – 55 | 55 – 70 | 70 – 85 | 85 – 100 |
|---|---|---|---|---|---|---|
| Frequency | 2 | 3 | 7 | 6 | 6 | 6 |
- (A)
- (B)
- (C)
- (D)
Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 430/1/1.
Hints
Open one hint at a time and try again before the next.
Hint 1
Find N/2.
Hint 2
Locate the first cumulative frequency above N/2.
Step-by-step solution
Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.
- ½ mark
, so . The cumulative frequencies are 2, 5, 12, 18, …
- ½ mark
The first cumulative frequency above 15 is 18, so the median class is 55–70. Its class mark is .
Answer: 62.5, option (D)
Where the marks are
- Finds and the cumulative frequencies (½ mark)
- Median class 55–70, class mark 62.5 (½ mark)
Revise the chapter
- Chapter: Statistics (notes, formulas, where marks are lost and every past question)
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The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.