7.7 - Variance
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Practice Questions
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Define variance in your own words.
💡 Hint: Think about the average and how each number relates to it.
What does a low variance indicate about a dataset?
💡 Hint: Consider how tightly packed the values are.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does a higher variance indicate about a dataset?
💡 Hint: Consider what happens to the spread of values if they are all similar.
True or False: High variance is always desirable in engineering.
💡 Hint: Think about reliability in engineering processes.
1 more question available
Challenge Problems
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A factory produces metal rods that are supposed to be 5 cm in length. During testing, a sample produced lengths of {4.8, 5.1, 5.0, 4.9, 5.2} cm. Calculate the variance.
💡 Hint: Calculate the mean, then find the squared differences from the mean.
Analyze a given set of data points {1, 2, 3, 4, 5} and discuss how variance can impact product decisions in an engineering design.
💡 Hint: Consider how this spread affects reliability and consistency.
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