The Ministry is migrating nzmaths content to Tāhurangi.
Relevant and up-to-date teaching resources are being moved to Tāhūrangi (tahurangi.education.govt.nz).
When all identified resources have been successfully moved, this website will close. We expect this to be in June 2024.
e-ako maths, e-ako Pāngarau, and e-ako PLD 360 will continue to be available.
For more information visit https://tahurangi.education.govt.nz/updates-to-nzmaths
The fact that the sampling distribution of the sample mean of a numerical variable becomes closer to the normal distribution as the sample size increases. The sample means are from random samples from some population.
This result applies regardless of the shape of the population distribution of the numerical variable.
The use of ‘central’ in this term is because there is a tendency for values of the sample mean to be closer to the ‘centre’ of the population distribution than individual values are. This tendency strengthens as the sample size increases.
The use of ‘limit’ in this term is because the closeness or approximation to the normal distribution improves as the sample size increases.
Curriculum achievement objectives reference
Statistical investigation: Level 8
