Class 9 Maths Statistics MCQs with Answers and Explanations

Learn Data Handling and Numerical Analysis Through Statistics MCQs

Statistics is one of the most practical chapters in Class 9 Maths because it teaches students how numerical information is collected, organized, analyzed, and interpreted in real life. Unlike chapters based completely on formulas or geometry, statistics focuses more on understanding data patterns, averages, observations, and logical interpretation.

This chapter helps students understand how large sets of numbers can be simplified into meaningful information using concepts like mean, median, mode, and frequency distribution. Students also learn how data analysis is used in areas like business, sports, surveys, economics, science, and daily life calculations.

This page on Class 9 Maths Statistics MCQs with Answers and explanations is designed for students who want focused objective question practice with proper conceptual understanding. The MCQs included here help students improve calculation accuracy, interpretation skills, and confidence in data handling questions.

Many students understand formulas for mean and median but become confused while solving grouped data questions, arranging observations, or identifying frequencies correctly. Regular practice of Statistics Class 9 MCQ questions helps students improve both calculation speed and logical analysis skills during school exams and online tests.

Students preparing chapter wise revision can also practice important concepts from the CBSE Class 9 Notes, solve topic wise exercises from the Class 9 Maths Course, and attempt more objective questions available in the Maths MCQs Collection.

Why Statistics is Different from Other Maths Chapters

Most mathematics chapters focus on formulas, equations, or geometry properties. Statistics is different because it focuses on understanding and analyzing data.

Instead of solving only direct mathematical expressions, students learn how to:

• Organize raw information properly
• Read and understand data tables
• Calculate averages accurately
• Compare observations logically
• Interpret numerical patterns
• Solve real life data based problems

This chapter improves logical thinking and practical mathematical understanding together.

What Students Actually Learn in Chapter 12 Statistics

Chapter 12 introduces students to basic statistical methods used for data handling and analysis.

Main concepts covered include:

• Collection of data
• Raw data and arranged data
• Frequency distribution tables
• Tally marks
• Mean calculation
• Median of observations
• Mode identification
• Grouped and ungrouped data
• Data interpretation questions

Regular practice of MCQ Class 9 Maths Chapter 12 Statistics helps students become more comfortable with numerical analysis and observation based questions.

The Three Most Important Concepts in Statistics

Mean

Mean is the average of all observations.

Formula:

Mean = Sum of Observations ÷ Number of Observations

This is one of the most frequently asked concepts in objective questions.

Median

Median is the middle value of arranged observations.

Students should remember:

Arrange data in ascending or descending order first

Then identify the middle observation correctly

Many mistakes happen because students forget to arrange data properly.

Mode

Mode is the value that appears most frequently in a dataset.

If one number repeats more than others, that number becomes the mode.

Questions based on mode are usually simple but require careful observation.

Important Statistics Terms Students Should Remember

These terms are commonly used in objective and concept based questions.

Statistics MCQs with Answers and Explanations

Q. The marks obtained by 10 students in a mathematics test are 55, 36, 95, 73, 60, 42, 25, 78, 75, 62. What is the mean of their marks?

A. 60.1
B. 62.1
C. 63.1
D. 64.1

Answer: A
Explanation: Total marks = 601. Mean = 601 ÷ 10 = 60.1.

Q. Consider the following data: 14, 13, 18, 16, 19, 15, 17, 16, 12, 16. What is the mode of this data?

A. 13
B. 15
C. 16
D. 19

Answer: C
Explanation: Mode is the value occurring most frequently. Here, 16 appears 3 times.

Q. The heights (in cm) of 11 students are: 150, 152, 161, 155, 157, 160, 159, 158, 153, 156, 162. What is the median height?

A. 156 cm
B. 157 cm
C. 158 cm
D. 159 cm

Answer: B
Explanation: After arranging data, the middle value (6th observation) is 157 cm.

Q4. A grouped frequency distribution table has class intervals 0–10, 10–20, 20–30, and so on. If a data point is 20, in which class interval would it be included?

A. 0–10
B. 10–20
C. 20–30
D. It can be in either 10–20 or 20–30

Answer: C
Explanation: In exclusive intervals, the upper limit is excluded. Therefore, 20 belongs to 20–30.

Q. The daily wages (in rupees) of 15 workers are: 200, 250, 220, 200, 250, 280, 220, 200, 250, 280, 220, 200, 250, 220, 280. What is the range of the daily wages?

A. 60
B. 70
C. 80
D. 90

Answer: C
Explanation: Range = Highest value − Lowest value = 280 − 200 = 80.

Q. If the mean of 5 observations x, x+2, x+4, x+6, x+8 is 11, what is the value of x?

A. 5
B. 7
C. 9
D. 11

Answer: B
Explanation: Mean = (5x + 20)/5 = 11 ⇒ x + 4 = 11 ⇒ x = 7.

Q. The scores of 10 students in a test are 25, 20, 22, 25, 28, 20, 25, 20, 22, 25. What is the sum of the mean and mode of these scores?

A. 47.2
B. 49.2
C. 50.2
D. 51.2

Answer: B
Explanation: Mean = 24.2 and mode = 25. Sum = 49.2.

Q. A data set consists of 20 observations. If the mean of the first 10 observations is 12 and the mean of the remaining 10 observations is 15, what is the mean of the entire data set?

A. 13.0
B. 13.5
C. 14.0
D. 14.5

Answer: B
Explanation: Total sum = 120 + 150 = 270. Mean = 270 ÷ 20 = 13.5.

Q. For a data set with an even number of observations, say 'n', how is the median calculated?

A. The value of the (n/2)th observation
B. The value of the ((n+1)/2)th observation
C. The average of the (n/2)th and ((n/2)+1)th observations
D. The average of the (n/2)th and (n−1)th observations

Answer: C
Explanation: For even observations, median is the average of the two middle observations.

Q. Consider a frequency distribution table where the class mark of a class is 25 and the class width is 10. What are the lower and upper limits of this class?

A. 20 and 30
B. 20.5 and 29.5
C. 15 and 35
D. 20 and 30 (inclusive)

Answer: A
Explanation: Class mark = (Lower limit + Upper limit)/2. Hence limits are 20 and 30.

Q. The daily temperatures (in °C) for a week were recorded as: 28, 30, 27, 29, 31, 28, 32. What is the sum of the median and mode of these temperatures?

A. 57
B. 58
C. 59
D. 60

Answer: A
Explanation: Median = 29 and mode = 28. Sum = 57.

Q. If the mean of 10 numbers is 23, and one number, 30, is removed, what is the new mean of the remaining 9 numbers?

A. 22
B. 22.22 (approx)
C. 22.5
D. 23

Answer: B
Explanation: Total sum = 230. New sum = 200. Mean = 200 ÷ 9 ≈ 22.22.

Q. Which of the following is not a measure of central tendency?

A. Mean
B. Median
C. Mode
D. Range

Answer: D
Explanation: Range measures spread of data, not central tendency.

Q. The marks obtained by 5 students are 70, 75, 80, 85, 90. If each student's marks are increased by 5, what will be the new mean?

A. 80
B. 82
C. 85
D. 87

Answer: C
Explanation: Original mean = 80. Adding 5 to every value increases mean by 5.

Q. The number of goals scored by a team in 10 matches are: 2, 3, 4, 5, 0, 1, 3, 3, 4, 3. What is the median number of goals?

A. 2.5
B. 3
C. 3.5
D. 4

Answer: B
Explanation: After arranging data, the two middle values are both 3. Median = 3.

Q. In a frequency distribution the mid-point of a class is 42 and its lower limit is 37. What is the upper limit of the class?

A. 47
B. 45
C. 46
D. 48

Answer: A
Explanation: Mid-point = (Lower limit + Upper limit)/2. So, (37 + x)/2 = 42 ⇒ x = 47.

Q. The mean of 5 numbers is 18. If one number is excluded, the mean of the remaining 4 numbers becomes 16. What is the excluded number?

A. 20
B. 22
C. 24
D. 26

Answer: D
Explanation: Total sum = 5 × 18 = 90. Remaining sum = 4 × 16 = 64. Excluded number = 26.

Q. For the data 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, what is the sum of the mean and median?

A. 10.5
B. 11
C. 11.5
D. 12

Answer: B
Explanation: Mean = 5.5 and median = 5.5. Sum = 11.

Q. If the frequency of a class interval is 7 and its class mark is 50, what does this tell us about the data points within this interval?

A. There are 7 data points, and their average is 50
B. There are 7 data points, and the midpoint of their interval is 50
C. The value 50 appears 7 times in the data
D. The class interval is 43–57

Answer: B
Explanation: Frequency tells the number of observations and class mark gives the midpoint.

Q. The number of hours a student studied per day for 7 days are: 3, 5, 2, 4, 6, 3, 7. If another student studied for 5 hours on an 8th day, how does the median change?

A. It increases by 0.5
B. It decreases by 0.5
C. It remains the same
D. It increases by 1

Answer: A
Explanation: Original median = 4. New median = (4 + 5)/2 = 4.5. Increase = 0.5.

Q. The data 15, 20, 25, 30, 35, 40, 45 has a median of 30. If the value 15 is replaced by 50, what is the new median?

A. 30
B. 35
C. 40
D. 25

Answer: B
Explanation: New arranged data: 20, 25, 30, 35, 40, 45, 50. Median = 35.

Q. A teacher recorded the number of absentees in her class for 30 days. If a frequency distribution table is made, what is the frequency of ‘2’ absentees?

A. 5
B. 6
C. 7
D. 8

Answer: C
Explanation: The number 2 appears 7 times in the data.

Q. If the mean of 5 observations is 10 and the mean of another 3 observations is 14, what is the mean of all 8 observations?

A. 11.5
B. 12
C. 12.5
D. 13

Answer: A
Explanation: Total sum = 50 + 42 = 92. Mean = 92 ÷ 8 = 11.5.

Q. The marks obtained by 12 students in a test are: 34, 37, 40, 42, 35, 38, 40, 36, 39, 41, 37, 40. What is the mode of this data?

A. 37
B. 38
C. 40
D. There are two modes

Answer: C
Explanation: 40 appears 3 times, which is the highest frequency.

Q. What is the class mark of the class interval 120–130?

A. 120
B. 125
C. 130
D. 10

Answer: B
Explanation: Class mark = (120 + 130)/2 = 125.

Q26. If the mean of five observations x, x+1, x+3, x+6, x+10 is 10, then the median of these observations is:

A. 8
B. 9
C. 10
D. 11

Answer: B
Explanation: Solving gives x = 6. Data becomes 6, 7, 9, 12, 16. Median = 9.

Q. Consider the data: 12, 15, 11, 13, 17, 12, 16, 12, 14. What is the value of (Mode − Median)?

A. −1
B. 0
C. 1
D. 2

Answer: B
Explanation: Mode = 12 and median = 12. Difference = 0.

Q. Which of the following statements about ungrouped data is true?

A. It is always represented using class intervals
B. Each observation is listed individually
C. It is suitable for very large datasets
D. The mode cannot be determined for ungrouped data

Answer: B
Explanation: Ungrouped data shows every observation separately.

Q. The number of hours a student spends on homework each day for 7 days are: 2, 3, 2, 4, 5, 3, 2. What is the product of the mean and mode of this data?

A. 6
B. 7
C. 8
D. 9

Answer: A
Explanation: Mean = 3 and mode = 2. Product = 6.

Q. The class intervals for a data set are 1–5, 6–10, 11–15, etc. What is the class width of these intervals?

A. 4
B. 5
C. 6
D. 10

Answer: B
Explanation: Class width = 5 for each interval.

Before Attempting Statistics MCQs

• Read all observations carefully before calculation
• Arrange data properly for median questions
• Check frequencies carefully in grouped data
• Revise mean, median, and mode formulas regularly
• Avoid skipping calculation steps
• Practice NCERT examples consistently
• Recheck totals and averages before selecting answers
• Focus on accuracy in data interpretation questions
• Analyze mistakes after every practice session
• Solve mixed level objective questions regularly

Common Mistakes by Students in Statistics MCQs

• Ignoring Data Arrangement: Median based questions require proper arrangement of observations before calculation.
• Wrong Frequency Addition: Students often make addition mistakes while calculating grouped data totals.
• Confusing Mean and Median: Some students apply the wrong formula because they confuse statistical terms.
• Observation Counting Errors: Questions involving frequencies and repeated values require careful counting.
• Solving Too Quickly: Statistics questions may look simple, but small calculation mistakes often lead to wrong answers.

Regular practice of Statistics MCQ for Class 9 helps students improve accuracy and reduce calculation errors.

Better Approach for Solving Statistics Objective Questions

• Read the Dataset Carefully: Students should check all values properly before starting calculations.
• Organize Information Step by Step: Writing observations clearly reduces confusion in longer numerical questions.
• Focus on Accuracy Before Speed: Correct calculation is more important than solving quickly.
• Revise Formula Concepts Regularly: Students should revise mean, median, and mode formulas frequently.
• Practice Mixed Data Questions: Solving both grouped and ungrouped data questions improves confidence.

Students practicing Statistics Class 9 MCQ Online Test questions regularly usually perform better in exams.

How Students Can Become Stronger in Statistics

Statistics becomes easier when students stop memorizing formulas blindly and start understanding how data behaves. Students who practice data interpretation regularly usually solve objective questions faster and with better accuracy.

To improve performance in Class 9 Maths Statistics MCQs with Answer, students should:

• Practice average calculations daily
• Solve grouped and ungrouped data questions regularly
• Improve observation analysis skills
• Revise formulas consistently
• Focus on logical interpretation instead of shortcuts
• Solve mixed statistical problems from NCERT exercises

Consistent practice improves confidence in data handling and numerical reasoning questions.

Conclusion

Practicing Class 9 Maths Statistics MCQs with Answers and Explanations regularly helps students improve data handling skills, logical analysis, and numerical calculation accuracy. This chapter is important because it teaches students how mathematical methods are used to organize and interpret real life information.

Students who revise concepts regularly and practice different types of objective questions consistently usually perform better in school exams and online assessments. With proper understanding and regular practice, statistics questions become much easier and more scoring.