Given :
Items 3 5 6 9 10 12 15
Frequencey 1 4 2 12 5 4 2
Mean : (sum of all items)/(number of items) = (3+4*5 + 2*6 + 12*9
+5*10 + 4*12 + 2*15)/(1+4+2+12+5+4+2) = 271/30 = 9.03
Median : item present in the center of the sorted items : 9
Mode: most frequency item : 9
standard deviation : sqrt((sigma[i=1 to n](xi - x')^2)/n-1)
=sqrt(((3-9.03)^2 + 4*(5-9.03)^2 + 2*(6-9.03)^2 + 12*(9-9.03)^2 +
5*(10-9.03)^2 + 4*(12-9.03)^2 + 2*(15-9.03)^2 )/29 )
=sqrt(((6.03)^2 + 4*(4.03)^2 + 2*(3.03)^2 + 12*(0.03)^2 +
5*(0.97)^2 + 4*(2.97)^2 + 2*(5.97)^2 )/29)
=sqrt(( 36.3609 + 64.9636 + 18.3618 + 0.0108 + 4.7045 + 35.2836 +
71.2818 )/29)
=2.8
variance : sigma[i=1 to n](xi - x')^2)/n-1= 7.7
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please find the mean, median and mode!
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