Statistics Chapter 3
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16 Terms
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Variance
the mean of the square of the distance each value of the data
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variance equation
(n(Ex^2)-(Ex)^2)/(n^2)
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standard deviation
the square root of the variance
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Standard deviation equation (sample)
(n(Ex^2)-(Ex)^2)/n(n-1)
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Empirical Rule
SHOULD happen- 1k=68%, 2k=95%, 99.7%
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Chebysher's Theorem
MUST happen- (1+ 1/k²) \* 100%
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Percentile equation
(B+1/2(E))/n
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Outliers equation
Q3-Q1\=IQR
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Equation for Lower Outlier Range
Q1-1.5(IQR)
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Equation for Higher Outlier Range
Q3+1.5(IQR)
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standard scores (or z) equation
z= (x-(mean))/standard deviation
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Quartiles
Values that divide a data set into four equal parts
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Parts of a Box and Whiskers
min, Q1, Median, Q3, max
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Symbol for Variance
s²/σ^2
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Symbol for Standard Deviation
s
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CVariance Equation
s/(mean)