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

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the non-negativity property of variance?

πŸ’‘ Hint: What happens when you square a number?

Question 2

Easy

Explain the impact of an outlier on standard deviation.

πŸ’‘ Hint: What does an extreme value in the dataset do?

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the minimum value of variance?

  • -1
  • 0
  • 1

πŸ’‘ Hint: Think about squaring numbers.

Question 2

True or False: Standard deviation can be negative.

  • True
  • False

πŸ’‘ Hint: What does that square root do?

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

πŸ’‘ Hint: Make sure to calculate the squared differences.

Question 2

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?

πŸ’‘ Hint: Remember how to apply the scaling rule to variance.

Challenge and get performance evaluation