9. Continuous random variables

9.01 Continuous random variables

9.02 Probability density functions

9.03 Centre and spread of continuous random variables

9.04 Applications of general continuous random variables

9.05 Normal distributions

9.055 Empirical rule with z-scores

9.06 Calculations with the standard and general normal distributions

9.07 Further applications of the normal distribution

Year 12

9.05 Normal distributions

Interactive practice questions

Which of these curves is normally distributed?

A

B

C

Easy

< 1min

Which of the following sets of data is approximately normally distributed?

Easy

< 1min

Which of these histograms is approximately normally distributed?

Easy

< 1min

Which of these box-and-whisker plots represents data that is normally distributed?

Easy

< 1min

Outcomes

4.4.1.4

understand standardised normal variables (z-values, z-scores) and use these to compare samples

4.4.2.1

identify contexts, such as naturally occurring variations, that are suitable for modelling by normal random variables

4.4.2.2

recognise features of the graph of the probability density function of the normal distribution with mean 𝜇 and standard deviation 𝜎 and the use of the standard normal distribution

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