Variance and Standard Deviation (Grade 11 NSC Matric Mathematics): Quizzes

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Variance and Standard Deviation
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What do measures of central tendency NOT tell us about a dataset?

How spread out the data is

What is variance?

Average squared distance from the mean

If data is measured in cm, what are the units of variance?

cm2\text{cm}^{2}

How is standard deviation related to variance?

SD is the square root of variance

What units does standard deviation have?

Same units as the original data

What should always be calculated first when finding variance?

The mean

What does a large variance indicate about a dataset?

Data is widely spread out

When does standard deviation equal zero?

When all values are identical

In finance, what does standard deviation measure?

Volatility (risk)

For a die roll {1,2,3,4,5,6}\{1, 2, 3, 4, 5, 6\} with xˉ=3.5\bar{x} = 3.5, what is σ2\sigma^{2}?

2.9172.917

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