approximate value of the third quartile:
z value for Q1(25%)=-0.67
-0.67=(Q1-μ)/σ=-11.2/σ
σ=-11.2/-0.67=16.7
3*IQR = 4*σ
IQR =4*σ/3=22.2
IQR =Q3-Q1, so Q3=IQR+Q1=22.2+30.8=53.0
approximate value of the variance
VAR=σ2=279
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