Practice - Variance (σ² or s²)
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Practice Questions
Test your understanding with targeted questions
Find the variance of the data set: 2, 4, 4, 4, 5, 5, 7, 9.
💡 Hint: Calculate the mean, then find each deviation squared, average those values.
What does a variance of zero signify?
💡 Hint: Think about the meaning of consistency in the data.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is variance?
💡 Hint: Focus on the relationship of variance to deviations.
True or False: The standard deviation is always greater than variance.
💡 Hint: Remember the relationship between standard deviation and variance.
1 more question available
Challenge Problems
Push your limits with advanced challenges
In a given dataset, the values are: 25, 28, 30, 33, 36, 39. Calculate the variance and discuss how it could apply to a real-world scenario, like test scores.
💡 Hint: Follow the steps carefully to derive the mean and then variances.
Evaluate the variance for a larger dataset derived from a class of students' exercise times: 30, 45, 33, 40, 50, 48, 35, 60, discussing implications in a health and fitness program.
💡 Hint: Focus on ensuring accurate squared deviations to find an appropriate measure.
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