The topic Averages holds a significant place in the Quantitative Aptitude section of the RRB Clerk Prelims exams. While the concept may appear simple, exam questions often combine averages with other arithmetic topics like percentages, ratios & proportions, or mixtures. Hence, mastering this concept helps candidates tackle not only direct questions but also complex data interpretation sets efficiently. This article provides a detailed overview of Averages for RRB Clerk 2025, including basic concepts, formulas, solved examples, question types, and preparation strategy.
Download Free PDF of Average Questions for RRB Clerk Exam
In this section, we are providing the free PDF of the Average questions for the RRB Clerk Exam. The PDF is curated by our experts after analysing trends from previous years.
What is Average?
In simple terms, average means the equal distribution of a given quantity among all entities. It represents the “central” or “typical” value in a data set.
Formula:
Average= Sum of all quantities\Number of quantities
For example, if the marks of five students are 60, 70, 75, 80, and 85,
Then their average marks are:
(60 + 70 + 75 + 80 + 85) ÷ 5 = 74.
Types of Average Questions Asked in RRB Clerk
1. Basic Average Problems
These are direct questions testing conceptual understanding.
Example:
Find the average of 25, 30, 35, 40, and 45.
Solution: (25 + 30 + 35 + 40 + 45) ÷ 5 = 35.
2. Finding a Missing Value
A missing term needs to be found when the average and other quantities are known.
Example:
The average of five numbers is 46. The sum of four numbers is 180. Find the fifth number.
Solution: 5 × 46 = 230 → 230 – 180 = 50.
3. Change in Average
These involve adding or removing items from a data set and finding the new average.
Example:
The average age of 8 students is 20 years. If one student aged 24 joins, what is the new average?
Solution:
Old total = 8 × 20 = 160
New total = 160 + 24 = 184
New average = 184 ÷ 9 = 20.44 years
4. Weighted Average
Used when different groups with different averages are combined.
Formula:
Weighted Average = Average × No. of items + Average × No. of items\Total no. of items
Example:
The average marks of 20 boys are 70 and that of 30 girls are 80. Find the combined average.
20×70) + 30×80/20+30 = 1400+2400/50 = 76
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5. Successive Averages
Used when averages are calculated repeatedly for different groups or time intervals.
These are less frequent but conceptually important for Mains-level questions.
Tips to Solve Average Questions Faster
- Use Deviation Method:
Instead of calculating the entire sum, take deviations from an assumed mean for faster computation. - Learn Relationship with Total Sum:
Whenever average and number of items are known, total = average × number of items. This is very useful for “missing number” problems. - Practice Reverse Calculation:
Sometimes, the question gives new and old averages — try to backtrack the missing data using the difference in total sums. - Eliminate Options Smartly:
In mock tests, if options are far apart, quick approximation helps save time.
Common Mistakes to Avoid while solving Average Questions in RRB Clerk Exam
- Ignoring Units: When dealing with average speed or temperature, ensure consistent units throughout.
- Incorrect Total Calculation: Small addition or multiplication errors can change the final answer.
- Overlooking the Weighted Average Concept: Many students apply the simple average instead of the weighted average when group sizes differ.
- Skipping Verification: Quickly recheck calculations, especially when decimals or fractions are involved.
Final Takeaway
Averages may look simple, but carry great weight in RRB Clerk Prelims. To practice more such questions, you can buy our test series, where you can get to reattempt the full-length mock tests and get a Detailed Comparison with the Topper, compare your Time, Score, Accuracy, Correct/Wrong Answers, and even the Average Performance side-by-side.
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FAQs
Most questions involve simple average, weighted average, and combined average concepts. You may also find questions mixed with topics like ratio, percentage, or alligation to test your conceptual understanding.
In Prelims, 1–2 questions are typically asked within the Arithmetic section.
Key formulas include:
Average = (Sum of observations ÷ Number of observations)
Combined Average = (n₁x₁ + n₂x₂) ÷ (n₁ + n₂)
When one term changes: New Average = Old Average ± (Difference ÷ Total Items)
Students often forget to check total quantities, mix up groups in combined averages, or skip unit consistency (e.g., mixing marks and percentages). Clarity in data reading is crucial to avoid such errors.
Start by mastering basic formulas, then practice mixed Arithmetic sets involving averages. Solve previous year questions and mock tests regularly to improve speed and accuracy.
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