Statistics — Class 9 MCQs with Answers
Class 9 CBSE Mathematics · Chapter 15
90 practice questions · 30 Easy · 30 Medium · 30 Hard · Updated
Practise the most important Class 9 CBSE Mathematics questions from Chapter 15, "Statistics". You get 9 timed quizzes made from 90 NCERT-based MCQs, with answers and explanations. The questions are split into 30 Easy, 30 Medium and 30 Hard. Warm up on the basics, then move on to the exam-level questions that set top scorers in CBSE Board exams and the JEE & NEET foundation years apart.
To score well in "Statistics", focus on fast problem-solving, formula recall and step-by-step working. Each MCQ here is timed and uses exam-style marking (+4 correct, −1 wrong, 0 skipped). This trains you to stay accurate under time pressure, as real papers need. Every question has a short explanation, so a wrong answer becomes a quick lesson. It is the fastest way to fix gaps before a test.
Use this chapter for focused revision. Start with the Easy set to check your basics on Statistics, then move to Medium and Hard to practise applying them. Your accuracy, streaks and XP save automatically. This chapter also adds to your overall Class 9 Mathematics mastery score. 14 sample questions are solved in full below, with the answer and a worked explanation. Sign in free to start practising.
Key concepts: Statistics (Class 9 Mathematics)
Statistics turns raw data into something readable and then into a single representative number. This chapter covers collecting and tabulating data, displaying it as bar graphs, histograms and frequency polygons, and computing the mean, median and mode.
- Data
- Facts or figures collected for a definite purpose; primary data is gathered first-hand while secondary data comes from an existing source.
- Raw and arrayed data
- Data as first collected is raw; arranging it in ascending or descending order makes it far easier to interpret.
- Range
- The difference between the highest and lowest observations, giving a quick measure of how spread out the data is.
- Frequency
- The number of times a particular observation occurs in the data set.
Statistics — important questions & MCQs with answers (Class 9 Mathematics)
14 solved questions from this chapter's difficulty levels, each with its answer and explanation. The other 76 are timed and scored when you sign in.
- Q1Easy
Data collected directly by the investigator is called:
A.Secondary dataB.Continuous dataC.Grouped dataD.Primary data✓ CorrectAnswer: D. Primary data
Explanation: Primary data is collected firsthand by the investigator through surveys or experiments. Secondary data, in contrast, comes from someone else's already-published records — students often mix these two up.
- Q2Easy
The mean of 5, 10, 15, 20, 25 is:
A.10B.20C.15✓ CorrectD.25Answer: C. 15
Explanation: Mean = sum of values ÷ count = (5+10+15+20+25)÷5 = 75÷5 = 15. This is different from just picking a middle number by eye — always add everything first, then divide by how many values there are.
- Q3Easy
A bar graph is used to represent:
A.Discrete/categorical data✓ CorrectB.Continuous data onlyC.Frequency distribution of grouped dataD.Cumulative frequencyAnswer: A. Discrete/categorical data
Explanation: A bar graph plots discrete or categorical data as separate bars with gaps between them. A histogram, used for continuous grouped data, has bars that touch — the two are easy to mix up.
- Q4Easy
Data collected from existing records, books, or newspapers is called:
A.Secondary data✓ CorrectB.Primary dataC.Raw dataD.Ungrouped dataAnswer: A. Secondary data
Explanation: Secondary data comes from existing sources — books, newspapers, government records — already gathered by someone else. Data collected firsthand by the investigator is primary data, not secondary.
- Q5Easy
The median of 2, 3, 5, 7, 9 is:
A.3B.4C.7D.5✓ CorrectAnswer: D. 5
Explanation: Median = the middle value once data is arranged in order. For 2,3,5,7,9 (already ordered, 5 values), the middle (3rd) term is 5 — don't average two middle terms, that rule applies only when the count is even.
- Q6Easy
A histogram is used to represent:
A.Categorical dataB.Pie chart dataC.Ungrouped dataD.Continuous grouped data (frequency distribution)✓ CorrectAnswer: D. Continuous grouped data (frequency distribution)
Explanation: A histogram represents continuous grouped data (class intervals), with adjacent bars touching to show no gaps between classes. A bar graph, used for discrete/categorical data, has gaps between bars.
- Q7Medium
The class marks of a frequency distribution are 17, 22, 27, 32. The class size is:
A.3B.5✓ CorrectC.10D.15Answer: B. 5
Explanation: For evenly spaced class marks, the class size equals the gap between successive class marks: 22 − 17 = 5. It is not the class mark's own value.
- Q8Medium
Find the mean of: 10, 20, 30, 40, 50, 60, 70.
A.40✓ CorrectB.35C.45D.30Answer: A. 40
Explanation: Mean = sum ÷ count = (10+20+30+40+50+60+70)÷7 = 280÷7 = 40. Since the values are evenly spaced, this also equals the middle (4th) term — but that's a shortcut, not the definition.
- Q9Medium
In a frequency distribution, class 30–40 has frequency 12 and class 40–50 has frequency 8. What is cumulative frequency at 40–50?
A.8B.12C.4D.20✓ CorrectAnswer: D. 20
Explanation: Cumulative frequency at a class = sum of all frequencies up to and including that class: 12 (for 30–40) + 8 (for 40–50) = 20. It is a running total, not a single class's own frequency.
- Q10Medium
In a data set, the frequency of value 5 is 4 and value 5 is the only value appearing 4 times. Then 5 is the:
A.MeanB.Mode✓ CorrectC.MedianD.RangeAnswer: B. Mode
Explanation: The value with the highest frequency in a data set is its mode. Since 5 appears 4 times, more than any other value, 5 is the mode — not the mean, median, or range.
- Q11Medium
Find the median of: 18, 12, 6, 21, 15, 9, 3.
A.9B.15C.12✓ CorrectD.18Answer: C. 12
Explanation: Arrange the data first: 3,6,9,12,15,18,21. With n=7 (odd), the median is the (7+1)/2 = 4th term = 12 — a common error is finding this from the unsorted list.
- Q12Hard
Find the mean of first 10 multiples of 7.
A.42B.35C.38.5✓ CorrectD.77Answer: C. 38.5
Explanation: First 10 multiples of 7 are 7,14,...,70. Their mean = 7×(1+2+...+10)/10 = 7×55/10 = 38.5 — using the sum-of-first-n formula is faster than adding all ten terms.
- Q13Hard
Classes 10–20, 20–30, 30–40 have frequencies 5, 8, 3. Class marks for the frequency polygon are:
A.10, 20, 30B.15, 25, 35✓ CorrectC.20, 30, 40D.5, 15, 25Answer: B. 15, 25, 35
Explanation: Class mark = (lower + upper limit)/2 for each interval: (10+20)/2=15, (20+30)/2=25, (30+40)/2=35. These midpoints, not the limits themselves, go on a frequency polygon's x-axis.
- Q14Hard
Class A (30 students, mean 55) and Class B (20 students, mean 65). Combined mean is:
A.62B.60C.58D.59✓ CorrectAnswer: D. 59
Explanation: Combined mean = (total of all values) ÷ (total count) = (30×55 + 20×65)/(30+20) = 2950/50 = 59. Simply averaging 55 and 65 to get 60 ignores the different group sizes.
Start this chapter free
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Start this chapter free →Statistics — FAQs
What are the key concepts in Class 9 Mathematics Statistics?+
Statistics turns raw data into something readable and then into a single representative number. This chapter covers collecting and tabulating data, displaying it as bar graphs, histograms and frequency polygons, and computing the mean, median and mode. Key ideas include Data, Raw and arrayed data, Range, Frequency.
What does Class 9 Mathematics Chapter 15 (Statistics) cover on XamBaaz?+
It has 90 NCERT-based MCQs on "Statistics": 30 Easy, 30 Medium and 30 Hard. Together they make 9 timed quizzes, and you never get the same set twice. Every question has an instant explanation. They help you prepare 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 on a launch offer until 1 December 2026. No chapter is charged separately.
How should I revise "Statistics" for the exam?+
Start with the Easy quiz to check your basics, then try Medium and Hard to practise applying them. There are 9 timed quizzes on this chapter, so you can come back for a fresh set instead of one you have seen. Read each explanation, retry the questions you miss, and track your accuracy until it stays high.
Are these "Statistics" MCQs available with answers?+
Yes. 14 sample questions are shown here in full, each with the correct option and a step-by-step "Why" explanation. Sign in free with Google to start practising, with instant scoring.
Is there negative marking in the "Statistics" quizzes?+
Yes. The timed quizzes use exam-style marking: +4 for a right answer, −1 for a wrong one and 0 for a skip. MHT-CET and CBSE board papers have no negative marking. Our mocks for those are scored their way.
What are the important questions from Statistics (Class 9 Mathematics)?+
The questions that matter most test Data, Raw and arrayed data, Range, Frequency. This page shows 14 solved important MCQs with answers and explanations; all 90 questions on the chapter are available as timed quizzes once you sign in.
Is there an online quiz for Statistics?+
Yes — Class 9 Mathematics Statistics has timed online quizzes at Easy, Medium and Hard levels, with instant scoring and a worked explanation on every question. The first quiz on the chapter is free.