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InterviewSolution
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The following table gives the distribution of income of 100 families ina village. Calculate the standard deviation:Income Rs.0-10001000-20002000-30003000-40004000-50005000-6000No. of Families18263012104 |
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Answer» First we have to construct a table for the given data. Please refer to video for creating complete table. From the table, `sum f_i u_i = -118` `sum f_i u_i^2 = 340` `:.` Variance `(sigma^2)= [(sum f_i u_i^2)/N - ((sum f_i u_i)/N)^2]h^2` Here, `h = ` Class size `= 1000` `:. sigma^2= [340/100 - ((-118)/100)^2]*1000^2 = 1000^2(2.0076)` `:.` Standard deviation `(sigma) = sqrt(1000^2(2.0076)) = 1000*1.4169 = 1416.9` |
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