CBSE Class 10 Mathematics Basic sample paper 2026-27: question 10
From the official CBSE sample question paper for 2026-27, section A, question 10, for 1 mark. Try it first; the hints and our step-by-step solution are below.
Q10 · 1 mark · MCQStatistics
For the following distribution
| Class | 0-5 | 5-10 | 10-15 | 15-20 | 20-25 |
|---|---|---|---|---|---|
| Frequency | 10 | 15 | 12 | 20 | 9 |
The lower limit of the median class is
- (A)5
- (B)10
- (C)15
- (D)20
Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2026-27.
Hints
Open one hint at a time and try again before the next.
Hint 1
Find N/2.
Hint 2
Use cumulative frequencies to see which class contains the N/2-th value.
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.
Total frequency , so . The cumulative frequencies are 10, 25, 37, 57, 66.
- 1 mark
The first cumulative frequency exceeding 33 is 37, so the median class is 10–15 and its lower limit is 10. Option (B).
Answer: 10, option (B)
Where the marks are
- Finds the median class 10–15 from the 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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