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Basic Stats

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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Question
Answer
useful graph   show
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show location: mean and median spread: standard deviation and IQR 5-number summary: min, max, IQR and median  
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formula for mean   show
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formula for median   show
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show s=√(1/(N-1) ∑_(i=1)^N▒〖(xi-x)〗^2 ) preferable for approximately normal data  
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formula for IQR   show
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numerically define an outlier   show
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show transformation of a variable from x to xnew  
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examples of linear transformation use   show
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show xnew=a+bx  
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show xbar new=a+bxbar  
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show Mnew=a+bM  
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formula for new standard deviation once linear transformation has occurred   show
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formula for new IQR once linear transformation has occurred   show
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show area under the curve in any range of values is the proportion of all observations that fall within that range for a quantitative variable = like a smoothed out histogram describes probabilistic behaviour  
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show 1  
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normality assumption   show
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normal quantile plot   show
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68-95-99.7% rule   show
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show μ  
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show σ  
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show X = random variable N = normal distribution first number in brackets = mean second number in brackets = standard deviation  
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show Z corresponds to the area under the curve of the corresponding region will always be to the left  
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standard normal distribution table   show
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reverse standard normal distribution table   show
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show N(μ,σ)  
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show Z= (X-μ)/σ used when distribution is N(0,1)(is normal but needs proportions changed)  
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show 1-sample test for μ when σ is unknown  
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useful inference   show
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