Trials & laws & Large Numbers (Large Number Theory)

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Presentation transcript:

Trials & laws & Large Numbers (Large Number Theory)

DIE ROLLS: Two die rolled independently and their totals. RAW DATA

Frequency tables Pivot table

Histograms

Histograms

Histograms

Histograms

1 6 1:6 100 ∙ 1 6 =16.67 Histograms

Frequency tables Pivot table

Frequency tables Pivot table

Histograms

Histograms

Histograms

Histograms

Data tables, box plots, descriptive statistics

Data tables, box plots, descriptive statistics

Data tables, box plots, descriptive statistics

Data tables, box plots, descriptive statistics

Data tables, box plots, descriptive statistics, and histogram

box plots and histograms

Data tables, box plots, descriptive statistics

Box plots

Histograms

Histograms, box plots, frequency and data tables, descriptive statistics

Putting it all together Histogram (column chart) (bar chart) dot plot Line graph Box plot

Law of Large numbers 75 observations

Law of Large numbers 150 observations

Law of Large numbers 570 observations

Law of Large numbers The Law of Large Numbers states that performance will generally move closer and closer to the expected ability as the number of attempt (or trials) grows larger. I.E. THE MORE OBSERVATIONS YOU HAVE, THE MORE LIKELY THEY ARE TO BE CLOSE TO THE EXPECTED ABILITY.

Law of Large numbers