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3 cards from this section. Quick, good the night before a test.
Define variance in your own words.
Think about the average and how each number relates to it.
What does a low variance indicate about a dataset?
Consider how tightly packed the values are.
What does a higher variance indicate about a dataset?
Consider what happens to the spread of values if they are all similar.
True or False: High variance is always desirable in engineering.
Think about reliability in engineering processes.
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.
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.
Consider how this spread affects reliability and consistency.
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