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Class 9 Mathematics — Chapter 15: Statistics

90 practice questions · 30 Easy · 30 Medium · 30 Hard

Practise Class 9 Mathematics Chapter 15, "Statistics", with 90 NCERT-aligned multiple-choice questions. The set is split into 30 Easy, 30 Medium and 30 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 9 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 90.

Key concepts: Statistics (Class 9 Mathematics)

In the rationalised syllabus this chapter focuses on collecting data and presenting it graphically — through bar graphs, histograms and frequency polygons.

Data
Information collected for a purpose. Primary data is collected first-hand; secondary data is taken from an existing source.
Frequency distribution
Data grouped into class intervals with their frequencies; class size = upper limit − lower limit, and class mark = (upper + lower)/2.
Bar graph
Equal-width bars with heights proportional to the values; gaps between bars; used for discrete or categorical data.
Histogram
Bars with no gaps for continuous (grouped) data; area of each bar is proportional to its frequency.
Frequency polygon
A line graph joining the mid-points (class marks) of the tops of the histogram bars; can be drawn with or without a histogram.

Key formulas — Statistics

Class mark
class mark = (upper limit + lower limit) / 2
Class size
class size = upper limit − lower limit

💡 Exam tips for Statistics

  • Histograms have no gaps between bars (continuous data); bar graphs do (discrete data) — a common exam distinction.
  • Plot frequency polygons against class marks, not class limits.

Sample questions

Q1Easy

Data collected directly by the investigator is called:

A.Secondary data
B.Primary data✓ correct
C.Grouped data
D.Continuous data
Why

Primary data is collected directly by the researcher through surveys, experiments, etc.

Q2Medium

Find the median of: 18, 12, 6, 21, 15, 9, 3.

A.9
B.12✓ correct
C.15
D.18
Why

Arranged: 3,6,9,12,15,18,21. n=7, median=(7+1)/2=4th value=12.

Q3Hard

Find the mean of first 10 multiples of 7.

A.38.5✓ correct
B.35
C.42
D.77
Why

First 10 multiples: 7,14,...,70. Mean=(7×(1+2+...+10))/10=7×55/10=38.5.

Statistics — FAQs

What are the key concepts in Class 9 Mathematics Statistics?+

In the rationalised syllabus this chapter focuses on collecting data and presenting it graphically — through bar graphs, histograms and frequency polygons. Key ideas include Data, Frequency distribution, Bar graph, Histogram, Frequency polygon.

What does Class 9 Mathematics Chapter 15 (Statistics) cover on XamBaaz?+

It covers 90 NCERT-aligned MCQs on "Statistics" — 30 Easy, 30 Medium and 30 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 90 questions free

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

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