3. Averages-Mean, Median and Mode
These are the three main measures of average used in mathematics and aptitude exams.
1. Mean (Arithmetic Mean)
The mean is the average value of all numbers.
Formula: Sum of all observations /Number of all observations
Example:
Find the mean of: 2, 4, 6, 8, 10.
Sum = 2 + 4 + 6 + 8 + 10 = 30
Total numbers = 5
Mean = 30 ÷ 5 = 6
2. Median
The median is the middle value after arranging numbers in ascending or descending order.
Rules
1.If total numbers are odd → middle number is median.
2.If total numbers are even → average of two middle numbers.
Example 1 (Odd Numbers)
Numbers: 3, 5, 7, 9, 11.
Middle number = 7
Median = 7
Example 2 (Even Numbers)
Numbers: 2, 4, 6, 8.
Middle two numbers = 4 and 6
Median = 10 ÷ 2 = 5
3. Mode
The mode is the number that appears most frequently.
Example
Numbers: 2, 3, 3, 5, 7, 3, 8.
Number repeated most = 3
Mode = 3
These are the three main measures of average used in mathematics and aptitude exams.
1. Mean (Arithmetic Mean)
The mean is the average value of all numbers.
Formula: Sum of all observations /Number of all observations
Example:
Find the mean of: 2, 4, 6, 8, 10.
Sum = 2 + 4 + 6 + 8 + 10 = 30
Total numbers = 5
Mean = 30 ÷ 5 = 6
2. Median
The median is the middle value after arranging numbers in ascending or descending order.
Rules
1.If total numbers are odd → middle number is median.
2.If total numbers are even → average of two middle numbers.
Example 1 (Odd Numbers)
Numbers: 3, 5, 7, 9, 11.
Middle number = 7
Median = 7
Example 2 (Even Numbers)
Numbers: 2, 4, 6, 8.
Middle two numbers = 4 and 6
Median = 10 ÷ 2 = 5
3. Mode
The mode is the number that appears most frequently.
Example
Numbers: 2, 3, 3, 5, 7, 3, 8.
Number repeated most = 3
Mode = 3
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Number System #1 | Introduction to Number System | Basic Mathematics | Play Math Tricks
Welcome to the first video of the Number System Series.
In this video, we will learn: ✔ What is a Number System? ✔ Types of Numbers ✔ Natural Numbers ✔ Whole Numbers ✔ Integers ✔ Rational Numbers ✔ Irrational Numbers
Perfect for Aptitude, SSC, Banking,…
In this video, we will learn: ✔ What is a Number System? ✔ Types of Numbers ✔ Natural Numbers ✔ Whole Numbers ✔ Integers ✔ Rational Numbers ✔ Irrational Numbers
Perfect for Aptitude, SSC, Banking,…
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Laws of Arithmetic #2 | Addition | Subtraction | Multiplication | Division | Basic Mathematics
Laws of Arithmetic | Basic Mathematics
In this video, we learn the fundamental laws of arithmetic and sign rules used in mathematics and competitive exams.
Topics Covered:
✔ Addition of Positive and Negative Numbers
✔ Subtraction Rules
✔ Multiplication…
In this video, we learn the fundamental laws of arithmetic and sign rules used in mathematics and competitive exams.
Topics Covered:
✔ Addition of Positive and Negative Numbers
✔ Subtraction Rules
✔ Multiplication…
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