Statistics

• Counting principles and probability
• Counting problems
• Factorials, permutations and combinations, nCr and nPr formulas
• With repeated values
• Circular arrangements
• Binomial theorem, Pascal's triangle
• Simple probability: cards, dice
• Rules of probability
• Conditional probability
• Independent events
• Mutually exclusive events
• Applications and modeling
• (Optional for levels 1 and 2) Statistics
• Random variables, frequency and probability distributions
• Measures of center (mean, median, mode)
• Measures of spread (variance, standard deviation)
• Normal distributions
• Sequences and series.
• Recursive and explicit definitions of functions
• Arithmetic and geometric sequences
• Arithmetic and geometric means
• Applications and modeling
• Random variables and probability distributions
• Measures of center (mean, median, mode)
• Measures of spread (variance, standard deviation)
• Normal distributions