Preparing for the Integrated Programme in Management Aptitude Test (IPMAT)? Mean, median, and mode are fundamental concepts in quantitative aptitude. Practising IPMAT mean, median, and mode questions can help you build calculation accuracy, understand data-based problems, and improve your overall exam preparation.
This guide covers important formulas, worked examples, multiple-choice questions, answer explanations, and practical preparation tips. Use the practice set to revise the basics and test your understanding.
What are IPMAT Mean Median Mode Questions for 2027?
Mean
The mean is the arithmetic average of a group of observations. Add all the values and divide the total by the number of observations.
Example: Find the mean of 4, 6, 8, 10 and 12.
Mean = (4 + 6 + 8 + 10 + 12) ÷ 5 = 40 ÷ 5 = 8
Median
The median is the middle value after arranging the observations in ascending or descending order. For an even number of observations, take the average of the two middle values.
Example: The median of 3, 5, 7, 9, 11 is 7.
For 2, 4, 6, 8, the median is (4 + 6) ÷ 2 = 5.
Mode
The mode is the value that occurs most frequently in a dataset. A dataset may have one mode, multiple modes, or no mode if all values occur equally often.
Example: In 2, 3, 3, 5, 7, 3, 8, the mode is 3 because it appears three times.
Show Answer & Explanation
Correct answer: B. 20
Sum = 12 + 16 + 20 + 24 + 28 = 100. Mean = 100 ÷ 5 = 20.
Question 2: Find the Median
Find the median of 7, 3, 11, 5 and 9.
A. 5
B. 7
C. 9
D. 11
Show Answer & ExplanationCorrect answer: B. 7
Arranged values: 3, 5, 7, 9, 11. The middle value is 7.
Question 3: Identify the Mode
What is the mode of 4, 6, 6, 8, 10, 6 and 12?
A. 4
B. 6
C. 8
D. 10
Show Answer & ExplanationCorrect answer: B. 6
The value 6 occurs three times, more than any other value.
Question 4: Missing Observation
The mean of five numbers is 18. Four numbers are 12, 16, 20 and 22. Find the fifth number.
A. 18
B. 20
C. 22
D. 24
Show Answer & ExplanationCorrect answer: B. 20
Total of five numbers = 5 × 18 = 90. The four known numbers total 70, so the missing number is 90 − 70 = 20.
The mean of 12 observations is 16. If every observation is increased by 3, what is the new mean?
A. 16
B. 18
C. 19
D. 21
Show Answer & ExplanationCorrect answer: C. 19
Adding 3 to every observation increases the mean by 3. New mean = 16 + 3 = 19.
Question 14: Frequency and Mode
Use the frequency table to identify the mode.
Value
Frequency
2
3
4
5
6
2
8
4
A. 2
B. 4
C. 6
D. 8
Show Answer & ExplanationCorrect answer: B. 4
The value 4 has the highest frequency (5, so it is the mode.
Question 15: Mean and Median
Consider the observations 2, 4, 6, 8 and 20. Which statement is correct?
A. Mean = 6 and median = 8
B. Mean = 8 and median = 6
C. Mean = 8 and median = 8
D. Mean = 6 and median = 6
Show Answer & ExplanationCorrect answer: B. Mean = 8 and median = 6
Mean = (2 + 4 + 6 + 8 + 20) ÷ 5 = 40 ÷ 5 = 8. The middle value is 6, so the median is 6.
Important Formulas for IPMAT Mean, Median, Mode Questions
Concept
Formula
Explanation / Usage
Mean
Mean = Sum of observations ÷ Number of observations
Used to calculate a dataset's average or find an unknown total.
Total Sum
Sum = Mean × Number of observations
Useful for missing-number and combined-average questions.
Median (Odd n)
Position = (n+1) ÷ 2
Arrange the observations in ascending order and select the middle value.
Median (Even n)
Median = Average of the two middle values
Arrange the observations and average the two central values.
Combined Mean
Combined Mean = Combined Total ÷ Combined Count
Calculate each group's total first, then divide the combined total by the total number of observations.
Mode
Mode = Most frequently occurring value
Identify the value with the highest frequency, not the largest numerical value.
Effect of a Constant
New Mean = Old Mean + Constant
When the same constant is added to every observation, the mean increases by that constant.
IPMAT Mean Median Mode Questions: Answer Key
Use this quick answer key to check your responses after attempting all 15 questions.
Question
Answer
Question
Answer
Question
Answer
1
B — 20
6
B — 4
11
C — 15
2
B — 7
7
C — 66
12
C — 27.6
3
B — 6
8
C — 4 and 5
13
C — 19
4
B — 20
9
B — 16
14
B — 4
5
C — 7
10
C — 32
15
B — 8 and 6
How to Prepare for IPMAT Mean, Median and Mode Questions for 2027?
Preparing for mean, median and mode questions for IPMAT 2027 requires a clear understanding of basic formulas, regular practice, and effective time management. Follow these strategies to improve your accuracy in quantitative aptitude and build confidence before attempting full-length practice papers.
1. Master the Basic Formulas
Start by learning the formulas for mean, median, and mode, along with the relationship between averages and total sums. Practise simple examples first before moving to questions involving missing values, frequency distributions, and combined averages.
Questions involving missing observations often require you to calculate the total using the given mean and then subtract the sum of the known values. Practise different variations to become comfortable solving these problems quickly.
You can strengthen your fundamentals with IPMAT Study Material PDFs and use them alongside your topic-wise practice.
3. Learn to Solve Combined Average Problems
When two or more groups have different averages, calculate the total for each group before finding the combined average. Remember that you must account for the number of observations in each group rather than simply averaging the group averages.
Once you understand the method, practise similar numerical problems to improve your calculation speed and accuracy.
4. Arrange Data Correctly Before Finding the Median
Always arrange the observations in ascending or descending order before identifying the median. For an odd number of observations, select the middle value; for an even number, calculate the average of the two middle values.
To prepare for a wider range of quantitative aptitude problems, review the Important Topics for IPMAT 2027 and incorporate relevant topics into your revision schedule.
5. Identify Frequencies Carefully to Find the Mode
The mode is the value that occurs most frequently in a dataset, not necessarily the largest value. Pay close attention to repeated observations and frequency tables, as these can change the answer.
Practise datasets with one mode, multiple modes, and equally frequent observations to understand the different question patterns.
6. Analyse Your Mistakes and Revise Regularly
After completing each practice set, review incorrect answers and identify whether the mistake occurred because of a formula, calculation, or misunderstanding of the question. Maintain a short revision list of concepts that need additional practice.
For structured preparation, use the IPMAT 2027 Study Plan to organise your revision, practice sessions, and mock-test analysis.
7. Practise with Sample Papers and Timed Tests
Once you are comfortable with the concepts, attempt timed question sets and mixed quantitative aptitude tests. This helps you practise applying formulas under time pressure while identifying areas that need improvement.
You can extend your preparation with IPMAT Sample Papers 2027 and IPMAT Previous Year Question Papers, where available. Use these resources to practise a wider variety of questions and become familiar with exam-style formats.
Conclusion
Mean, median, and mode are important topics in the quantitative aptitude section of the IPMAT exam. Understanding their formulas, solving different types of questions, and practising regularly can help you improve your calculation speed and accuracy. Focus on missing-value problems, combined averages, frequency distributions, and median calculations to strengthen your preparation for IPMAT 2027.
Start with basic questions and gradually move to exam-level MCQs. Review your mistakes, practise with a timer, and use mock tests and previous years’ question papers to assess your progress. With consistent practice and a clear understanding of the concepts, you can approach mean, median, and mode questions with greater confidence.
What are mean, median, and mode in quantitative aptitude?
Are mean, median, and mode important for IPMAT 2027?
How do you calculate the median of an even number of observations?
What is the difference between mean, median, and mode?
How can I improve my accuracy in mean, median, and mode questions for IPMAT?
Are mean, median, and mode questions difficult in IPMAT?
About the Author
Lalita Vishwakarma
Content Writer
Lalita Vishwakarma is a professional content writer with over 5+ years of experience covering undergraduate management entrance exams and CUET. She writes about IPMAT Indore, IPMAT Rohtak, JIPMAT, NPAT, SET, CUET UG, and CUET PG, helping students understand admission requirements and prioritise their preparation. Her work includes exam updates, eligibility criteria, application processes, syllabi and preparation strategies. With a research-driven approach and student-friendly writing style, she turns complex exam information into practical guidance, helping aspirants make informed choices and prepare with confidence.... more
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