Understand the concept of the sample mean 𝑋 as a random variable whose value varies between samples where 𝑋 is a random variable with mean 𝜇 and the standard deviation 𝜎.

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Model and solve problems that involve sample means, with and without technology.

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Use repeated random sampling data from a variety of distributions and a range of sample sizes to examine properties of the distribution of 𝑋 across samples of a fixed size 𝑛, including its mean 𝜇, its standard deviation 𝜎 √𝑛 (where 𝜇 and 𝜎 are the mean and standard deviation of 𝑋) and its approximate normality if 𝑛 is large.