Practice Variance (10.x.2) - Variance and Standard Deviation - Mathematics - iii (Differential Calculus)

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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What does variance measure?
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Think about how spread out the data is.
Question 2.
What is the standard deviation in relationship to variance?
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Recall the formula connecting the two.
3Question 3.
Variance provides insights into:
- Central tendency
- Data dispersion
- Data accuracy
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Think about what variance tells you about data.
4Question 4.
Standard deviation is the square root of:
- True
- False
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Consider how the concepts are connected.
Question 5.
You have the following measurements of a mechanical component's diameter: 10.2, 10.4, 10.1, 10.3, 10.5. Calculate the variance and interpret what it means for quality control.
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Find the mean first and square deviations!
Question 6.
You are analyzing the daily rainfall (in cm) over a month: 1.0, 2.2, 0, 1.5, 3.1, 0, 2.0, 1.8, 0.5, 1.0, 2.5, 0.3. Calculate variance. What does this tell you about the variability of rainfall?
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Remember to compute the mean rainfall first!

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