10.x - Variance and Standard Deviation
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Practice Questions
Test your understanding with targeted questions
Calculate the mean of the following data: 6, 2, 9, 5, 3.
💡 Hint: Add the numbers together and divide by how many data points there are.
True or False: The standard deviation can be negative.
💡 Hint: Think about how we define standard deviation.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does variance measure?
💡 Hint: Think of how variance relates to the average value of data points.
True or False: Standard deviation is simply a squared measurement of variance.
💡 Hint: Consider the definition of standard deviation regarding variance.
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Challenge Problems
Push your limits with advanced challenges
You collected the following set of data: 5, 7, 5, 8, 12. Calculate the variance and standard deviation, and discuss the implications of these measurements.
💡 Hint: Go step-by-step, calculating the mean first, then varied deviations.
Consider two sets of data: Set A: {6, 7, 8}, Set B: {2, 11, 12}. Calculate the variances for both sets and summarize differences in variability.
💡 Hint: Remember to find the mean for each set then calculate the squared differences.
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