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Mathematics Worksheet
📏 Standard Deviation
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Compute the standard deviation as the square root of the variance.Interpret the spread it describes.Note that it shares the data's units.Compare precision using standard deviation.📚 Quick Recap
Standard deviation is the square root of variance — it measures spread in the same units as the original data, making it much easier to interpret directly.
🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1The standard deviation if the variance is 25:
2The standard deviation if the variance is 49:
3The standard deviation if the variance is 2:
4Machine A has SD 0.2 mm, Machine B has SD 0.05 mm. More precise:
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5Standard deviation = of the variance.
6If the variance is 25, the standard deviation is .
7Find the standard deviation of a dataset with variance 25.
8Find the standard deviation of a dataset with variance 49.
9Find the standard deviation of a dataset with variance 2.
🚀 Section C · Challenge ● CHALLENGE 5
10Machine A has SD 0.2 mm, Machine B has SD 0.05 mm. Which is more precise?
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/11 C ___/5 Total ___/20
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1-A 2-A 3-A 4-B | 5 square root 6 5 7 = 5 8 = 7 9 = About 1.41 | 10 = Machine B