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10 cards from this deck
μ=0\mu = 0μ=0 and σ=1\sigma = 1σ=1
x=μ−σx = \mu - \sigmax=μ−σ and x=μ+σx = \mu + \sigmax=μ+σ
How many standard deviations a value is from the mean
z=x−μσz = \frac{x - \mu}{\sigma}z=σx−μ
x=μ+σzx = \mu + \sigma zx=μ+σz
Approximately 68%
Approximately 95%
Approximately 99.7%
Q1=μ−0.67σQ_1 = \mu - 0.67\sigmaQ1=μ−0.67σ
IQR=1.35σ\text{IQR} = 1.35\sigmaIQR=1.35σ
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