A random variable is said to have the standard Cauchy distri

A random variable is said to have the (standard) Cauchy distribution if its PDF is given by f(x) = 1/pi 1 / 1 + x^2, - infinity

Solution

SAMPLE 1
Min. 1st Qu. Median Mean 3rd Qu. Max.
-355.1000 -0.8925 -0.0320 -0.2044 0.9945 80.4700
IQR 1.886932

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SAMPLE 2
Min. 1st Qu. Median Mean 3rd Qu. Max.
-138.2000 -1.1510 -0.0203 1.9180 0.9512 691.5000
IQR 2.101733

SAMPLE 3
Min. 1st Qu. Median Mean 3rd Qu. Max.
-580.2000 -1.0440 -0.0619 -1.7500 0.8358 93.7500
IQR 1.879739

SAMPLE 4
Min. 1st Qu. Median Mean 3rd Qu. Max.
-246.10000 -0.80860 0.05263 -0.13330 1.09300 115.10000
IQR 1.901755

SAMPLE 5
Min. 1st Qu. Median Mean 3rd Qu. Max.
-109.2000 -1.0180 0.0378 1.4940 1.1010 509.4000
IQR 2.118881

SAMPLE 6
Min. 1st Qu. Median Mean 3rd Qu. Max.
-35.4200 -0.8495 0.0301 1.6930 0.9581 507.0000
IQR 1.807592

SAMPLE 7
Min. 1st Qu. Median Mean 3rd Qu. Max.
-2861.0000 -0.9861 0.0441 -4.9280 1.0560 201.7000
IQR 2.042285

SAMPLE 8
Min. 1st Qu. Median Mean 3rd Qu. Max.
-151.3000 -0.8380 0.0562 1.5000 0.8565 458.8000
IQR 1.694505

SAMPLE 9
Min. 1st Qu. Median Mean 3rd Qu. Max.
-279.5000 -1.0290 -0.0275 6.4010 1.0830 2779.0000
IQR 2.111698

SAMPLE 10
Min. 1st Qu. Median Mean 3rd Qu. Max.
-111.6000 -0.8587 0.1521 0.7224 1.1520 108.2000
IQR= 2.011167