Standard Deviation (Leaving Cert Mathematics): Quizzes

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Standard Deviation
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12 questions from this quiz

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What does standard deviation measure in statistics?

How far values are from the mean

What does a small standard deviation indicate?

Data clustered close to the mean

Which Greek letter represents standard deviation?

σ\sigma (sigma)

According to the Empirical Rule, what % of values lie within one standard deviation of the mean?

68%

What % of values lie within two standard deviations of the mean?

95%

What % of values lie within three standard deviations of the mean?

99.7%

If mean height is 177 cm with SD of 8 cm, where are 68% of heights?

Between 169 cm and 185 cm

How many steps are in the procedure for calculating standard deviation?

6 steps

What is the first step in calculating standard deviation?

Calculate the mean xˉ\bar{x}

What is the formula for standard deviation with simple data?

σ=Σ(x−xˉ)2n\sigma = \sqrt{\frac{\Sigma(x - \bar{x})^2}{n}}

What is the formula for standard deviation with frequency distributions?

σ=Σf(x−xˉ)2Σf\sigma = \sqrt{\frac{\Sigma f(x - \bar{x})^2}{\Sigma f}}

Which property must standard deviation always have?

Cannot be negative

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