Tuesday, 2 June 2026

Bank Exam Practice Material Series Page 10 | Advanced Average Tricks and Weighted Average Methods

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Ultimate Bank Exam Practice Material Series 2026

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Average Concepts

Weighted Average

Heavy Standard Questions

Speed Tricks

Page 10 – Advanced Average Tricks and Weighted Average Methods

Master advanced average concepts, weighted average methods, replacement techniques, and shortcut solving approaches for competitive examinations.

Why Average is Important

Frequently asked in Bank and SSC exams
Improves calculation accuracy
Useful in data interpretation
Strengthens arithmetic concepts
Enhances logical problem-solving skills

Core Concepts Covered

Simple Average
Weighted Average
Replacement Concepts
Average Speed Logic
Missing Value Problems

Important Average Formulas

Average Formula

Weighted Average

Replacement Concept

Change in average × Number of observations = Difference in replaced values.

Advanced Average Tricks

Trick 1 – Simple Average

Find average of 25, 35, 45, 55, 65

Sum = 225

225 ÷ 5

Answer = 45

Trick 2 – Weighted Average

Average of two groups:

10 students average = 40

20 students average = 50

Combined Average:

(10×40 + 20×50) ÷ 30

Answer = 46.67

Trick 3 – Replacement Method

Average of 5 numbers is 30

One number replaced by 50

New average becomes 34

Increase in total:

(34 − 30) × 5 = 20

Replaced number = 30

Heavy Standard Practice Questions

Question 1

Find average of first 10 natural numbers.

Answer = 5.5

Question 2

Average of 8 numbers is 25. Find total sum.

Answer = 200

Question 3

Average of 15 students is 42. One student leaves and average becomes 40. Find marks of leaving student.

Answer = 70

Question 4

Find weighted average of 30 kg rice at ₹40/kg and 20 kg rice at ₹50/kg.

Answer = ₹44/kg

Fast Revision Table

Concept	Shortcut Idea
Simple Average	Total ÷ Count
Weighted Average	Use multiplication approach
Replacement Problems	Use average difference logic
Combined Average	Use weighted calculation