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

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

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

💡 Hint: Add the numbers and divide by how many there are.

Question 2 Easy

If variance is 4, what is the standard deviation?

💡 Hint: Remember: SD = √Variance.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the formula for calculating variance?

💡 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

💡 Hint: What does 'spread out' mean in this context?

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

💡 Hint: Make sure to perform each calculation step by step.

Challenge 2 Hard

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

💡 Hint: Think about extreme values and their impact on average measures.

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