The Normal Distribution (Edexcel A-Level Mathematics): Quizzes

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The Normal Distribution
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In a normal distribution, where are the mean, median, and mode located?

All at the centre

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 of the mean?

95%95\%

In the standard normal distribution, what is the value of the mean μ\mu?

00

What is the formula to convert a value XX to a ZZ-score?

Z=XμσZ = \frac{X - \mu}{\sigma}

What type of quantities does the normal distribution model?

Continuous quantities

In the notation XN(30,9)X \sim N(30, 9), what does the 99 represent?

Variance σ2\sigma^2

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

Less spread, more bunched around μ\mu

What does a ZZ-score represent?

Standard deviations from the mean

In the standard normal distribution, what is the value of the standard deviation σ\sigma?

11

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