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// $Id: moments.java,v 1.1 2004-11-23 08:08:44 bfulgham Exp $
// http://www.bagley.org/~doug/shootout/
import java.io.*;
import java.util.*;
import java.text.*;
import java.lang.Math;
public class moments {
public static void main(String[] args) {
String line;
Vector nums = new Vector();
double num, sum = 0.0;
double mean = 0.0;
double average_deviation = 0.0;
double standard_deviation = 0.0;
double variance = 0.0;
double skew = 0.0;
double kurtosis = 0.0;
double median = 0.0;
double deviation = 0.0;
int i, n, mid = 0;
try {
BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
while ((line = in.readLine()) != null) {
num = Double.parseDouble(line);
sum += num;
nums.add(new Double(num));
}
} catch (IOException e) {
System.err.println(e);
return;
}
n = nums.size();
mean = sum/n;
for (i=0; i<n; i++) {
deviation = ((Double)nums.get(i)).doubleValue() - mean;
average_deviation += Math.abs(deviation);
variance += Math.pow(deviation,2);
skew += Math.pow(deviation,3);
kurtosis += Math.pow(deviation,4);
}
average_deviation /= n;
variance /= (n - 1);
standard_deviation = Math.sqrt(variance);
if (variance != 0.0) {
skew /= (n * variance * standard_deviation);
kurtosis = kurtosis/(n * variance * variance) - 3.0;
}
Collections.sort(nums);
mid = (n/2);
median = (n % 2 != 0) ?
((Double)nums.get(mid)).doubleValue() :
(((Double)nums.get(mid)).doubleValue() +
((Double)nums.get(mid-1)).doubleValue())/2;
NumberFormat nf = NumberFormat.getInstance();
nf.setMaximumFractionDigits(13);
nf.setGroupingUsed(false);
nf.setMaximumFractionDigits(6);
nf.setMinimumFractionDigits(6);
System.out.println("n: " + n);
System.out.println("median: " + nf.format(median));
System.out.println("mean: " + nf.format(mean));
System.out.println("average_deviation: " + nf.format(average_deviation));
System.out.println("standard_deviation: " + nf.format(standard_deviation));
System.out.println("variance: " + nf.format(variance));
System.out.println("skew: " + nf.format(skew));
System.out.println("kurtosis: " + nf.format(kurtosis));
}
}
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