Class 10 Mathematics — Chapter 13: Statistics
68 practice questions · 22 Easy · 24 Medium · 22 Hard
Practise Class 10 Mathematics Chapter 13, "Statistics", with 68 NCERT-aligned multiple-choice questions. The set is split into 22 Easy, 24 Medium and 22 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 and the JEE & NEET foundation years.
"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 10 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 68.
Key concepts: Statistics (Class 10 Mathematics)
This chapter finds the three measures of central tendency — mean, median and mode — for data grouped into class intervals.
- Mean (grouped data)
- The average, found using class midpoints (xᵢ) and frequencies (fᵢ) by the direct, assumed-mean or step-deviation method.
- Step-deviation method
- A shortcut for the mean that reduces arithmetic by using uᵢ = (xᵢ − a)/h around an assumed mean a.
- Median (grouped data)
- The value of the middle observation; found from the median class using cumulative frequency.
- Mode (grouped data)
- The most frequent value; found from the modal class (the class with the highest frequency).
Key formulas — Statistics
💡 Exam tips for Statistics
- Identify the median class using cumulative frequency, and the modal class using the highest frequency — they need not be the same class.
- In the formulas, l = lower limit, h = class size, f = frequency of the class, cf = cumulative frequency before the median class.
Sample questions
Mean of 2, 4, 6, 8, 10:
30/5 = 6.
Empirical relation: 3 × Median = Mode + ___ × Mean.
Mode = 3 Median − 2 Mean, so 3 Median = Mode + 2 Mean.
An ogive is the graph of:
Ogive = cumulative frequency curve.
Statistics — FAQs
What are the key concepts in Class 10 Mathematics Statistics?+
This chapter finds the three measures of central tendency — mean, median and mode — for data grouped into class intervals. Key ideas include Mean (grouped data), Step-deviation method, Median (grouped data), Mode (grouped data).
What does Class 10 Mathematics Chapter 13 (Statistics) cover on XamBaaz?+
It covers 68 NCERT-aligned MCQs on "Statistics" — 22 Easy, 24 Medium and 22 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams and the JEE & NEET foundation years.
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 68 questions free
Timed quizzes, instant scoring, streaks and XP. Sign in with Google — no card needed.
Start this chapter free →