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The median group in the… (Class 10 Maths Basic 2024, Q15)

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MathsCBSE Class 10 · Basic · Board exam 2024, set 430/4/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic 2024: question 15

Set in the CBSE Class 10 board exam of 2024, paper 430/4/1, section A, question 15, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q15 · 1 mark · MCQStatistics

The median group in the following frequency distribution is :

Class0 – 1010 – 2020 – 3030 – 4040 – 5050 – 60
Frequency58201575
  1. (A)10 – 20
  2. (B)20 – 30
  3. (C)30 – 40
  4. (D)40 – 50

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 430/4/1.

Hints

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

Hint 1

Find the total frequency N and then N/2.

Hint 2

Make the 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.

  1. , so . The cumulative frequencies are 5, 13, 33, …

  2. The first cumulative frequency greater than 30 is 33, so the median class is 20–30, option (B).

    1 mark

Answer: 20 – 30, option (B)

Where the marks are

  • Uses N/2 = 30 and cumulative frequency to find the median class 20–30 (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 paper2024 board paper, set 430/4/1 (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.