Practice Examples - 10.x.5 | 10. Variance and Standard Deviation | Mathematics - iii (Differential Calculus) - Vol 3
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10.x.5 - Examples

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the mean of the dataset {10, 12, 8}?

πŸ’‘ Hint: Add the numbers and divide by how many there are.

Question 2

Easy

If variance is 4, what is the standard deviation?

πŸ’‘ Hint: Remember: SD = √Variance.

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 formula for calculating variance?

πŸ’‘ Hint: Think about the differences from the average.

Question 2

True or False: A lower standard deviation indicates that data points are widely spread out.

  • True
  • False

πŸ’‘ Hint: What does 'spread out' mean in this context?

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the dataset {5, 9, 4, 2, 1}, calculate the mean, variance, and standard deviation.

πŸ’‘ Hint: Make sure to perform each calculation step by step.

Question 2

Discuss how the presence of outliers can skew both the variance and the standard deviation in a set of data.

πŸ’‘ Hint: Think about extreme values and their impact on average measures.

Challenge and get performance evaluation