Table of Contents
Definition
Arithmetic Mean is the sum of all observations divided by the total number of observations. It is the most common measure of central tendency.
Easy Definition: Arithmetic Mean मतलब average निकालना – सभी values को जोड़ो और total number से divide करो.
Formula
जहाँ,
= Arithmetic Mean
= Sum of all values
= Number of values
= Arithmetic Mean
= Sum of all values
= Number of valuesStep-by-Step Process
- सभी values को add करो.
- Total number of values count करो.
- Formula में रखकर divide करो.
Solved Example (Numerical)
Q: Find the mean of 5, 10, 15, 20, 25.
Solution:
Answer: The mean = 15. (यानी इन पाँच values का average 15 है).
Real-Life Example
अगर किसी class के students ने ये marks पाए: 60, 70, 80, 90, 50
तो mean होगा:
तो पूरी class का average performance 70 marks है. इससे हमें “overall स्थिति” समझ आती है.
Where it is Used (Applications)
- Marks / Exams
- Income analysis
- Speed calculation
- Rainfall / Weather
- Daily expenses
Advantages (Pros)
- Simple to calculate
- Easy to understand
- Uses all data values
Limitations (Cons)
- Extreme values (outliers) से प्रभावित होता है
- Sometimes doesn’t represent data properly
Common Mistakes / Myths
- Arithmetic Mean हमेशा “middle value” नहीं होता.
- Highest या lowest value कभी mean नहीं होती.
Expert Tip (Exam Point of View)
Formulas याद करने से ज्यादा, steps समझो. Exam में steps लिखोगे तो partial marks मिलेंगे.
FAQ
Q1. What is Arithmetic Mean in simple words?
Answer: Arithmetic Mean is the average of all data values.
Arithmetic Mean सभी values का average होता है.
Q2. Is Arithmetic Mean always the best measure?
Answer: No, it is affected by extreme values.
नहीं, यह extreme values से प्रभावित होता है.
Q3. Where do we use Arithmetic Mean in real life?
Answer: For marks, income, speed, rainfall, expenses etc.
Marks, income, speed, rainfall और daily expenses में use होता है.