Interpret charts to find mean, median, mode and range

key notes :

Mean (Average):

Formula:

Add all the numbers together.

Divide the total by how many numbers there are.

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Median (Middle Value):

• Arrange the numbers in order (smallest to largest).
• If odd number of values, the middle one is the median.
• If even number of values, average the two middle numbers.

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Mode (Most Frequent Value):

• The number that appears most often.
• A set may have one mode, more than one, or no mode.

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Range (Spread of Data):

• Difference between the highest and lowest numbers.

Formula:

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📈 Interpreting Charts or Tables

• Charts may show data in the form of:
  • Bar graphs
  • Line graphs
  • Frequency tables
  • Pie charts
  • Pictographs

✅ Steps to Follow:

1. Extract the data from the chart or table clearly.
2. List the values you need to work with.
3. Organize the data in order if needed (for median).
4. Apply the formulas to calculate mean, median, mode, and range.

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🔍 Example: Frequency Table

Score	Frequency
2	1
4	2
6	3
8	2

Step 1: Expand the data

• 2 → 1 time
• 4 → 2 times → 4, 4
• 6 → 3 times → 6, 6, 6
• 8 → 2 times → 8, 8
  Data Set: 2, 4, 4, 6, 6, 6, 8, 8

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Mean:

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Median:

• Middle values: 6 and 6 →

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Mode:

• 6 occurs most → Mode = 6

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Range:

Learn with an example

let’s practice!