Averages

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Understanding Averages and Range

Averages summarise a set of data with a single value. The three averages (mean, median, mode) each have different uses. The range tells us how spread out the data is.

Key Points:

Mean: best for data without extreme values
Median: best when there are outliers (extreme values)
Mode: best for categorical data (like favourite colour)
Range: shows how spread out or consistent the data is

Top Tips

  • Always put data in order before finding the median
  • For frequency tables, multiply each value by its frequency
  • Check: your mean should be between the lowest and highest values

Worked Examples

1Step 1: Add all values: 4 + 7 + 9 + 3 + 12 = 35
2Step 2: Count how many values: 5
3Step 3: Divide: Mean = 35 ÷ 5 = 7
Answer: 7

🎬 Video Tutorials

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Mean, Median, Mode & Range

⏱️ 9:45

Complete guide to all four measures.

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Averages from Frequency Tables

⏱️ 11:20

How to find mean and median from grouped data.

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Rules to Follow

💡 Click on any rule to see more details!

Mean

Add all values, divide by how many. Mean = total ÷...

Median

Put values in order, find the middle. If two middl...

Mode

The most common value. There can be no mode, one m...

Range

Range = highest value - lowest value. Measures the...

From Frequency Tables

Mean = Σ(f×x) ÷ Σf. For median, find the position:...