📊 Advanced Average Calculator
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📌 Understanding Averages
An **average** is a way to represent a group of numbers with a single value. The three most common types are:
- Mean: The sum of all values divided by their count.
- Median: The middle value when arranged in order.
- Mode: The most frequently occurring value.
📌 Example Calculations
| Type | Example | Solution |
|---|---|---|
| Mean (Average) | 5, 10, 15 | ✅ (5+10+15) ÷ 3 = 10 |
| Median | 3, 7, 10 | ✅ Middle Value = 7 |
| Mode | 2, 4, 4, 6 | ✅ Most Frequent = 4 |
🔧 Practical Applications of Average Calculation
1. Business Analytics: Used in sales and performance reports.
2. Education: Helps calculate student grades.
3. Financial Analysis: Determines investment returns and market trends.
❓ FAQs
Q1: What is the difference between Mean, Median, and Mode?
✅ **Mean** is the sum divided by count.
✅ **Median** is the middle value when sorted.
✅ **Mode** is the most frequent number.
Q2: How do I find a weighted average?
✅ Multiply each value by its weight, sum them up, and divide by total weight.
Q3: Can I calculate the average of negative numbers?
✅ Yes! Example: **(-5 + -10 + -15) ÷ 3 = -10**.
Q4: How do I find an average of percentages?
✅ Convert percentages to decimal form, find the mean, then multiply by 100.
Q5: What if I enter duplicate numbers?
✅ The calculator finds the correct mean, median, and mode even with duplicates.