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Binomial theorem, variables, charts.

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Term
Definition
What is the binomial theoum?   (x+y)^n  
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First four lines of Pascal's Triangle.   1, 1-1, 1-2-1, 1-3-3-1, 1-4-6-4-1  
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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.  
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How many different ways can you select president and vice president from a pool of five people?   5nPr3 = 60  
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What is the original permutation formula?   nPr = (n!) / (n-r)!  
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How many different ways can you select 2 people from a pool of five?   (5P2) / (2!) = 10 = 5C2  
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What is the combination formula?   nCr = nC(n-r) = (nPr) / (n!)  
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In permutation does order matter?   yes  
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In combination does order matter?   no  
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Define categorical (qualitative) data   The numbers are just labels and their values are arbitrary. Ex: dog's gender, color, and breed.  
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Define quantitative data   Variables recorded in numbers are called quantitative variables Ex. Incomes, heights, weights, ages.  
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What is the purpose of a frequency table?   To count and record data  
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What is a relative frequency table?   has percentages  
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What is cumulative related frequency table?   Add the person previous to the next value. Ex: red = 30%, gray = 80%, blue = 100%  
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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.  
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What is the formula for marginal distribution?   Margins / grand total  
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What is conditional distribution?   cell value / margin  
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