Practice Variance - 10.x.2 | 10. Variance and Standard Deviation | Mathematics - iii (Differential Calculus) - Vol 3
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Variance

10.x.2 - Variance

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does variance measure?

💡 Hint: Think about how spread out the data is.

Question 2 Easy

What is the standard deviation in relationship to variance?

💡 Hint: Recall the formula connecting the two.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Variance provides insights into:

Central tendency
Data dispersion
Data accuracy

💡 Hint: Think about what variance tells you about data.

Question 2

Standard deviation is the square root of:

True
False

💡 Hint: Consider how the concepts are connected.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

💡 Hint: Find the mean first and square deviations!

Challenge 2 Hard

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?

💡 Hint: Remember to compute the mean rainfall first!

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