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Question

The weight of coffee in 70 jars is shown in the following table : 

Weight (in grams):200201201202202203203204204205205206Frequency:1327181011

Determine the variance and standard deviation of the above distribution.


Solution

CFfixidi=xi¯¯¯¯¯Xfidifid2i20020113200.52265220120227201.51272720220318202.500020320410203.5110102042051204.52242052061205.5339fi=70fidi=38fid2i=102

σ2=fid2ifi=(fidifi)2=10270(3870)2

Now,  = 1.4571-0.2916 = 1.1655

σ=1.1655=1.08g

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