CBSE Class 10 Mathematics Basic 2025: question 19
Set in the CBSE Class 10 board exam of 2025, paper 430/4/1, section A, question 19, for 1 mark. Try it first; the hints and our step-by-step solution are below.
Q19 · 1 mark · Assertion-reasonCompetency-basedStatistics
Directions: Question numbers 19 and 20 are Assertion and Reason based questions. Select the correct answer from the codes (a), (b), (c) and (d). Assertion (A): Median marks of students in a class test is 16. It means half of the class got marks less than 16. Reason (R): Median divides the distribution in two equal parts.
- (A)Both, Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- (B)Both, Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
- (C)Assertion (A) is true, but Reason (R) is false.
- (D)Assertion (A) is false, but Reason (R) is true.
Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 430/4/1.
Hints
Open one hint at a time and try again before the next.
Hint 1
What does the median represent in a distribution?
Hint 2
Check whether R is the reason why A holds.
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
The median is the middle value, so it splits the data into two equal halves; R is true.
- ½ mark
Hence half the class scored below 16, so A is true, and R explains A. Option (A).
Answer: Option (A)
Where the marks are
- Recognises that both statements are true and R explains A (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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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.