program moments;
uses Classes, math;
function Compare(A, B : Pointer) : integer;
begin
if PDouble(A)^>PDouble(B)^ then
Result := 1
else if PDouble(A)^<PDouble(B)^ Then
Result:=-1
else
Result:=0;
end;
var
i, N, middle : integer;
list : TList;
median, mean, deviation,
average_deviation, standard_deviation,
variance, skew, kurtosis, sum: double;
p: PDouble;
begin
list := TList.Create;
While Not Eof(input) do begin
new(p);
Readln(p^);
list.Add(p);
end;
N := list.Count;
sum:=0.0;
for i:=0 to N-1 do
sum:=sum+PDouble(list.items[i])^;
mean := sum / N;
average_deviation:=0.0;
variance:=0.0;
skew:=0.0;
kurtosis:=0.0;
for i:=0 to N-1 do begin
deviation:=PDouble(list.items[i])^ - mean;
average_deviation:=average_deviation + Abs(deviation);
variance:=variance+power(deviation,2);
skew:=skew+power(deviation,3);
kurtosis:=kurtosis+power(deviation,4);
end;
average_deviation := average_deviation / N;
variance := variance / (N-1);
standard_deviation := Sqrt(variance);
if variance<>0 then begin
skew := skew / (N * variance * standard_deviation);
kurtosis := kurtosis / (N * variance * variance ) - 3.0;
end;
list.Sort(Compare);
middle := N Div 2;
if (N Mod 2) <> 0 then
median:=PDouble(list.items[middle])^
else
median:=(PDouble(list.items[middle])^+PDouble(list.items[middle-1])^)*0.5;
WriteLn('n: ', N);
WriteLn('median: ', median:6:6);
WriteLn('mean: ', mean:6:6);
WriteLn('average_deviation: ', average_deviation:6:6);
WriteLn('standard_deviation: ', standard_deviation:6:6);
WriteLn('variance: ', variance:6:6);
WriteLn('skew: ', skew:6:6);
WriteLn('kurtosis: ', kurtosis:6:6);
end.