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The lengths of 40 leaves… (Class 10 Maths Basic 2026, Q35a)

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MathsCBSE Class 10 · Basic · Board exam 2026, set 430/2/1 · 5 marks · Long answer

CBSE Class 10 Mathematics Basic 2026: question 35(a)

Set in the CBSE Class 10 board exam of 2026, paper 430/2/1, section D, question 35(a), for 5 marks. Try it first; the hints and our step-by-step solution are below.

Q35(a) · 5 marks · Long answerStatistics

The lengths of 40 leaves of a plant are measured, correct to the nearest millimetre and data obtained is represented in the following table. Find the median length (in mm) of the leaves.

Length in (mm)Number of leaves
100 – 1208
120 – 1409
140 – 16012
160 – 1805
180 – 2006

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 430/2/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

Make a cumulative frequency column first.

Hint 2

Find and the class whose cf first reaches or crosses it.

Hint 3

Use Median .

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.

  1. Cumulative frequencies: 100–120: 8; 120–140: 17; 140–160: 29; 160–180: 34; 180–200: 40.

    1 mark

  2. , so . The cf first exceeds 20 in the class 140–160, so the median class is 140–160.

    1 mark

  3. Here , , , .

    1 mark

  4. Median

    1 mark

  5. mm.

    1 mark

Answer: Median length = 145 mm

Where the marks are

  • Writes the correct cumulative frequency column (1 mark)
  • Identifies the median class 140–160 (1 mark)
  • Writes the values correctly (1 mark)
  • Substitutes into the median formula (1 mark)
  • Gets the median 145 mm (1 mark)

Revise the chapter

Practise this chapterBoard-style questions from Statistics, one at a time, marked against the answer key and marking points.Back to the full paper2026 board paper, set 430/2/1 (Basic): every question, by section.

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.