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Statistics — NEET Maths MCQs

30 questions written by hand against the NCERT chapter. Every wrong option is explained, not just the right one.

30questions
10/14/6easy / medium / hard
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Sample questions from this chapter

What is the range of the observations 3, 8 and 10?
  1. 7 ✓
  2. 10
  3. 5
  4. 21
Answer: A. Range = maximum − minimum = 10 − 3 = 7.
Why not B: This reports only the maximum observation rather than subtracting the minimum.
Why not C: This subtracts 3 from 8 and ignores the actual maximum 10.
Why not D: This adds all observations, producing their sum rather than their range.
Find the mean deviation about the mean for the observations 2, 4 and 6.
  1. 2/3
  2. 1
  3. 4/3 ✓
  4. 2
Answer: C. The mean is 4, so the absolute deviations are 2, 0 and 2; their mean is 4/3.
Why not A: This divides the total absolute deviation 4 by 6 instead of by three observations.
Why not B: This uses only one non-zero deviation and overlooks the equal deviation on the other side.
Why not D: This reports each extreme's distance from the mean rather than averaging all three distances.
Five observations have mean 4 and variance 6.8. Three observations are 1, 2 and 3. What are the other two observations?
  1. 6 and 8 ✓
  2. 5 and 9
  3. 4 and 10
  4. 7 and 7
Answer: A. The missing sum is 14. Also Σx² = 5(6.8 + 4²) = 114, so the missing squares sum to 100; the pair is 6, 8.
Why not B: Although the pair sums to 14, its squared sum 106 makes the variance 8 rather than 6.8.
Why not C: This pair also has the required sum, but its wider separation makes the variance 10.8.
Why not D: Equal missing values give squared sum 98 and variance 6.4, not the stated value.

These are 3 of the 30 questions in the test. Take the full chapter test →

Read the chapter first

Every NCERT question in this chapter is solved, free: NCERT solutions — Statistics →

Other NEET Maths chapters

SetsRelations and FunctionsTrigonometric FunctionsComplex Numbers and Quadratic EquationsLinear InequalitiesPermutations and Combinations

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Questions

How many NEET questions are there on Statistics?

This chapter test has 30 questions — 10 easy, 14 medium and 6 hard — all written against the NCERT Class 11 chapter.

Is this NEET Maths chapter test free?

Yes. Every chapter test is free with no login, and you get your all-India rank on every one. Nothing on the site is on sale right now.

Do the questions explain the wrong options?

Yes — every distractor carries its own explanation naming the specific misconception that makes a student pick it. That is the part most question banks skip, and it is the part that changes your next attempt.