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The upper limit of the… (Class 10 Maths SQP 2023-24, Q18)

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

CBSE Class 10 Mathematics Standard 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 · MCQCompetency-basedStatistics

The upper limit of the modal class of the given distribution is:

Height [in cm]Below 140Below 145Below 150Below 155Below 160Below 165
Number of girls41129404651
  1. (A)165
  2. (B)160
  3. (C)155
  4. (D)150

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

Subtract successive cumulative frequencies.

Hint 2

The modal class has the largest frequency.

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. Convert the cumulative frequencies to class frequencies: below 140: 4; 140–145: 7; 145–150: 18; 150–155: 11; 155–160: 6; 160–165: 5.

  2. The highest frequency is 18, so the modal class is 145–150. Its upper limit is 150. Option (D).

    1 mark

Answer: 150, option (D)

Where the marks are

  • Finds class frequencies, identifies modal class 145–150 with upper limit 150, option (D) (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 (Standard): 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.