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Class 11 Mathematics — Chapter 15: Statistics

67 practice questions · 22 Easy · 22 Medium · 23 Hard

Practise Class 11 Mathematics Chapter 15, "Statistics", with 67 NCERT-aligned multiple-choice questions. The set is split into 22 Easy, 22 Medium and 23 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams, JEE Main and JEE Advanced.

"Statistics" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.

Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Statistics, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 11 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 67.

Key concepts: Statistics (Class 11 Mathematics)

This chapter covers measures of dispersion — range, mean deviation, variance and standard deviation — for grouped and ungrouped data.

Measures of dispersion
Describe how spread out data is around a central value; range is the simplest (max − min).
Mean deviation
The mean of the absolute deviations of observations from the mean or median.
Variance
The mean of the squared deviations from the mean; denoted σ².
Standard deviation
The positive square root of the variance (σ); in the same units as the data.
Coefficient of variation
CV = (σ/mean)×100; compares variability of two data sets with different means.

Key formulas — Statistics

Variance
σ² = (1/n) Σ(xᵢ − x̄)²
Standard deviation
σ = √[ (1/n) Σ(xᵢ − x̄)² ]
Coefficient of variation
CV = (σ / x̄) × 100

💡 Exam tips for Statistics

  • Standard deviation is in the same units as the data; variance is in squared units.
  • Use the coefficient of variation to compare consistency between two data sets — lower CV = more consistent.

Sample questions

Q1Easy

Mean of 2,4,6,8,10:

A.6✓ correct
B.5
C.7
D.4
Why

30/5=6.

Q2Medium

Variance is the:

A.Average of squared deviations from mean✓ correct
B.Range squared
C.Mean × median
D.Square of mean
Why

σ² = Σ(xᵢ−x̄)²/n.

Q3Hard

Mean deviation about mean uses:

A.Absolute deviations |xᵢ−x̄|✓ correct
B.Squared deviations
C.Cubed deviations
D.Differences from median only
Why

MD = Σ|xᵢ−x̄|/n.

Statistics — FAQs

What are the key concepts in Class 11 Mathematics Statistics?+

This chapter covers measures of dispersion — range, mean deviation, variance and standard deviation — for grouped and ungrouped data. Key ideas include Measures of dispersion, Mean deviation, Variance, Standard deviation, Coefficient of variation.

What does Class 11 Mathematics Chapter 15 (Statistics) cover on XamBaaz?+

It covers 67 NCERT-aligned MCQs on "Statistics" — 22 Easy, 22 Medium and 23 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams, JEE Main and JEE Advanced.

Are these "Statistics" questions free to practise?+

Yes — sign in with Google to practise "Statistics" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.

How should I revise "Statistics" for the exam?+

Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.

Practise all 67 questions free

Timed quizzes, instant scoring, streaks and XP. Sign in with Google — no card needed.

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