Empirical Rule (Leaving Cert Mathematics): Quizzes

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Empirical Rule
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What is the Empirical Rule also known as?

68-95-99.7 Rule

To what type of distribution does the Empirical Rule apply?

Bell-shaped, normal distributions

What percentage of data falls within μ±σ\mu \pm \sigma in a normal distribution?

Approximately 68%

What percentage of data falls within μ±2σ\mu \pm 2\sigma in a normal distribution?

Approximately 95%

What percentage of data falls within μ±3σ\mu \pm 3\sigma in a normal distribution?

Approximately 99.7%

In the Empirical Rule, what does the symbol μ\mu represent?

Mean of the data

In the Empirical Rule, what does the symbol σ\sigma represent?

Standard deviation

When using the Empirical Rule, data points beyond what range are often considered outliers?

μ±3σ\mu \pm 3\sigma

Heights are normally distributed with μ=170\mu=170 cm and σ=10\sigma=10 cm. What % fall between 160-180 cm?

Approximately 68%

Test scores are normally distributed with μ=50\mu=50 and σ=5\sigma=5. What % scored between 40 and 60?

Approximately 95%

Which is an application of the Empirical Rule?

Detecting outliers

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Empirical Rule

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Standard Deviation

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