Normal Distribution (A Level only) (AQA A-Level Mathematics): Quizzes

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The Normal Distribution
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What is true about the symmetry of a normal distribution curve?

Symmetrical around the mean

In a normal distribution, what is the relationship between mean, median, and mode?

All three are equal

What percentage of data lies within 11 standard deviation of the mean in a normal distribution?

68%68\%

What percentage of data lies within 22 standard deviations in a normal distribution?

95%95\%

In the standard normal distribution, what are the values of μ\mu and σ\sigma?

μ=0\mu = 0, σ=1\sigma = 1

What is the formula for converting a normal distribution to standard normal (Z-score)?

Z=X−μσZ = \frac{X - \mu}{\sigma}

What does the area under the normal distribution curve represent?

Probability

What type of quantities does the normal distribution model?

Continuous quantities

In the notation X∼N(μ,σ2)X \sim N(\mu, \sigma^2), what does σ2\sigma^2 represent?

Variance

What effect does lower variance have on a normal distribution curve?

Less spread, more bunched around μ\mu

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