IP AMaths Notes (Upper Sec, Year 3-4): 20) Statistics - Standard Deviation
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Compute mean, variance, and standard deviation for raw and grouped data in IP AMaths.
Last updated 30 Nov 2025
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- Start Here
- 1 Formulae
- 2 Worked example - Raw data
- 3 Worked example - Grouped data
Q: What does IP AMaths Notes (Upper Sec, Year 3-4): 20) Statistics - Standard Deviation cover?
A: Compute mean, variance, and standard deviation for raw and grouped data in IP AMaths.
Standard deviation quantifies spread. Handle both raw datasets and grouped frequencies.
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These statistics tools align with SEAB GCE O-Level Additional Mathematics (4049): population mean/variance/standard deviation for raw and grouped data using class midpoints.
Status: SEAB O-Level Additional Mathematics 4049 syllabus (exams from 2025) checked 2025-11-30 - scope unchanged; remains the reference for this note.
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| Read time | What to take away |
| 1 second | Standard deviation measures how spread out a dataset is. |
| 10 seconds | Find the mean first, measure each value's distance from the mean, square those distances, average them, then take the square root. |
| 100 seconds | Example: for grouped data, replace each class interval with its midpoint before multiplying by frequency. The midpoint is an estimate, so state grouped-data answers to a sensible accuracy. |
1 Formulae
- Mean:
