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Which of the following… (Class 10 Maths SQP 2024-25, Q16)

questionbuddy.in/q/cbse-10-maths-2024-25-sqp-standard-q16-gives-middle-most-observation-data

MathsCBSE Class 10 · Standard · Sample paper, session 2024-25 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard sample paper 2024-25: question 16

From the official CBSE sample question paper for 2024-25, section A, question 16, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q16 · 1 mark · MCQStatistics

Which of the following gives the middle most observation of the data?

  1. (A)Median
  2. (B)Mean
  3. (C)Range
  4. (D)Mode

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2024-25.

Hints

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

Hint 1

Think of arranging all the observations in increasing order.

Hint 2

Which measure of central tendency picks the value at the centre of that ordered list?

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 median is the value that lies exactly in the middle when the observations are arranged in ascending or descending order. Half of the data lies below it and half lies above it.

    1 mark

  2. The mean is the average, the mode is the most frequent value and the range is the spread (highest minus lowest). None of these is the middle-most observation, so the answer is option (A) Median.

Answer: Median, option (A)

Where the marks are

  • Identifies the median as the middle-most observation of ordered data (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 2024-25 (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.