CBSE Class 10 Mathematics Basic sample paper 2025-26: question 13
From the official CBSE sample question paper for 2025-26, section A, question 13, for 1 mark. Try it first; the hints and our step-by-step solution are below.
Q13 · 1 mark · MCQStatistics
Consider the following frequency distribution
| Class | 0 – 5 | 5 – 10 | 10 – 15 | 15 – 20 | 20 – 25 |
|---|---|---|---|---|---|
| Frequency | 11 | 12 | 13 | 9 | 11 |
The upper limit of median class is
- (A)10
- (B)13
- (C)15
- (D)20
Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2025-26.
Hints
Open one hint at a time and try again before the next.
Hint 1
Find .
Hint 2
Make a cumulative frequency column.
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.
, so . Cumulative frequencies are 11, 23, 36, 45, 56.
- 1 mark
28 first falls in the cumulative frequency 36, so the median class is 10–15. Its upper limit is 15, option (C).
Answer: 15, option (C)
Where the marks are
- Finds the median class 10–15 from cumulative frequencies (1 mark)
Revise the chapter
- Chapter: Statistics (notes, formulas, where marks are lost and every past question)
- Topic: Median of Grouped Data
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