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New Zealand Statistics Curriculum: Probability

NZC Level 1

S1-3 Investigate situations that involve elements of chance, acknowledging and anticipating possible outcomes.

NZC Level 2

S2-3 Investigate simple situations that involve elements of chance, recognising equal and different likelihoods and acknowledging uncertainty.

NZC Level 3

S3-3 Investigate simple situations that involve elements of chance by comparing experimental results with expectations from models of all the outcomes, acknowledging that samples vary.

NZC Level 4

S4-3 Investigate situations that involve elements of chance by comparing experimental distributions with expectations from models of the possible outcomes, acknowledging variation and independence.
S4-4 Use simple fractions and percentages to describe probabilities.

NZC Level 5

S5-3 Compare and describe the variation between theoretical and experimental distributions in situations that involve elements of chance.
S5-4 Calculate probabilities, using fractions, percentages, and ratios.

NZC Level 6

S6-3 Investigate situations that involve elements of chance:

  1. comparing discrete theoretical distributions and experimental distributions, appreciating the role of sample size
  2. calculating probabilities in discrete situations.

NZC Level 7

S7-4 Investigate situations that involve elements of chance:

  1. comparing theoretical continuous distributions, such as the normal distribution, with experimental distributions
  2. calculating probabilities, using such tools as two-way tables, tree diagrams, simulations, and technology.

NZC Level 8

S8-4 Investigate situations that involve elements of chance:

  1. calculating probabilities of independent, combined, and conditional events
  2. calculating and interpreting expected values and standard deviations of discrete random variables
  3. applying distributions such as the Poisson, binomial, and normal.