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# Statistics #1

### Binomial theorem, variables, charts.

TermDefinition
What is the binomial theoum? (x+y)^n
First four lines of Pascal's Triangle. 1, 1-1, 1-2-1, 1-3-3-1, 1-4-6-4-1
Permutation patterns for ordering 2 people, 3 people, 4 people, and 5 people ___ # of ways. 2 ways = 2 ppl = 2(1) = 2! ; 6 ways = 3 ppl = 3(2)1 = 3! ; etc.
How many different ways can you select president and vice president from a pool of five people? 5nPr3 = 60
What is the original permutation formula? nPr = (n!) / (n-r)!
How many different ways can you select 2 people from a pool of five? (5P2) / (2!) = 10 = 5C2
What is the combination formula? nCr = nC(n-r) = (nPr) / (n!)
In permutation does order matter? yes
In combination does order matter? no
Define categorical (qualitative) data The numbers are just labels and their values are arbitrary. Ex: dog's gender, color, and breed.
Define quantitative data Variables recorded in numbers are called quantitative variables Ex. Incomes, heights, weights, ages.
What is the purpose of a frequency table? To count and record data
What is a relative frequency table? has percentages
What is cumulative related frequency table? Add the person previous to the next value. Ex: red = 30%, gray = 80%, blue = 100%
What is a Contingency table? A table which shows how the individuals are distributed along each variable, contingent on the value of the other variable.
What is the formula for marginal distribution? Margins / grand total
What is conditional distribution? cell value / margin
Created by: yinyang2424