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Question

Find the mean and standard deviation using short cut method.

   xi      60      61      62      63      64       65       66     67      68      fi       2       1      12      29       25       12      10        4        5    


Solution

xifiu=x64     fufu2   60       2      4       8       32      61       1      3       3        9      62      12      2      24       48      63      29      1      29       29      64      25          0           0       0      65      12          1          12       12      66      10          2          20       40      67       4          3          12       36      68       5          4          20       80     100        0  286

Mean = (¯¯¯x)=A+fuN=64+0100=64

S.D.=(σ)=1100Nfu2(fu)2

= 1100100×286(0)2

= 110028600=1100×169.1=1.69

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