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Consider the… (Class 10 Maths Basic SQP 2023-24, Q18)

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MathsCBSE Class 10 · Basic · Sample paper, session 2023-24 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic sample paper 2023-24: question 18

From the official CBSE sample question paper for 2023-24, section A, question 18, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q18 · 1 mark · MCQStatistics

Consider the following frequency distribution:

Class0-66-1212-1818-2424-30
Frequency121015811

The median class is:

  1. (A)6-12
  2. (B)12-18
  3. (C)18-24
  4. (D)24-30

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2023-24.

Hints

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

Hint 1

Find the total frequency N and halve it.

Hint 2

Build the cumulative frequencies and find the first one above N/2.

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 . Cumulative frequencies: 12, 22, 37, 45, 56.

  2. The first cumulative frequency greater than 28 is 37, for the class 12-18. So the median class is 12-18, option (B).

    1 mark

Answer: 12-18, option (B)

Where the marks are

  • Finds N/2 = 28 and uses cumulative frequency to pick 12-18 (1 mark)

Revise the chapter

  • Chapter: Statistics (notes, formulas, where marks are lost and every past question)
Practise this chapterBoard-style questions from Statistics, one at a time, marked against the answer key and marking points.Back to the full paperSample paper 2023-24 (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.