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The following distribution… (Class 10 Maths Basic 2024, Q4)

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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 4

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

Q4 · 1 mark · MCQStatistics

The following distribution gives the daily income of 50 workers of a factory :

Income (in ₹)400 – 424425 – 449450 – 474475 – 499500 – 524
Number of workers12148610

The lower limit of the modal class is :

  1. (A)425
  2. (B)449
  3. (C)424·5
  4. (D)425·5

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

The modal class has the highest frequency.

Hint 2

The gap between classes is 1, so adjust each limit by 0.5.

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. The highest frequency is 14, so the modal class is 425–449.

  2. The classes are not continuous, so make them continuous by subtracting 0.5. The class becomes 424.5–449.5, and its lower limit is 424.5. This is option (C).

    1 mark

Answer: 424·5, option (C)

Where the marks are

  • Finds the modal class 425–449 and its true lower limit 424.5 (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.