Practice Properties - 10x.4 | 10. Variance and Standard Deviation | Mathematics - iii (Differential Calculus) - Vol 3
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10x.4 - Properties

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the non-negativity property of variance?

💡 Hint: What happens when you square a number?

Question 2 Easy

Explain the impact of an outlier on standard deviation.

💡 Hint: What does an extreme value in the dataset do?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the minimum value of variance?

-1
0
1

💡 Hint: Think about squaring numbers.

Question 2

True or False: Standard deviation can be negative.

True
False

💡 Hint: What does that square root do?

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the data set {5, 6, 8, 10, 15}, calculate the variance. Discuss the role a high value (15) plays in your computation.

💡 Hint: Make sure to calculate the squared differences.

Challenge 2 Hard

You have two morphological measurements of a model, both with variances of 25. If you scale one by a factor of -4, what is the new variance, and what does it signify?

💡 Hint: Remember how to apply the scaling rule to variance.

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