Practice Standard Deviation (σ Or S) (3.4) - Standard Deviation & Variance
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Standard Deviation (σ or s)

Practice - Standard Deviation (σ or s)

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Calculate the standard deviation for the data set: 4, 8, 6, 5, 3.

💡 Hint: Find the mean first, then calculate each deviation.

Question 2 Easy

If a data set has a mean of 10 and all values are the same, what is the standard deviation?

💡 Hint: Consider the definition of standard deviation.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does a higher standard deviation indicate?

Data points are closely clustered.
Data points are widely spread.
No variability.

💡 Hint: Think about what a low standard deviation indicates.

Question 2

True or False: A standard deviation of zero means all data points are identical.

True
False

💡 Hint: Reflect on what standard deviation measures.

3 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You collect the following measurements: 7, 8, 6, 9, 12. Find the standard deviation and explain its significance in context.

💡 Hint: Calculate mean and then apply the standard deviation formula.

Challenge 2 Hard

A manufacturer records the weights of batches of products: 100g, 102g, 98g, 105g, 95g. Discuss how the standard deviation would be used to ensure quality control.

💡 Hint: Analyze the dispersion of weights relative to a target weight.

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