Basic Stats
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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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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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
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If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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Created by:
Nymphette
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