Question

# There is a grouped data distribution for which mean is to be found by step deviation method. A = assumed mean B = class interval C = sum of products of ‘u’ and frequency for each class interval D = Total number of observations Which of the following statements is true regarding mean(m) for the grouped distribution ?

A

m = A + (C/D)

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B

m= A + B(C/D)

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C

m= A + D(B/C)

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D

m= A + (B/C)

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Solution

## The correct option is B m= A + B(C/D) The formula for mean by step deviation method is given below. ¯¯¯x = a + h( ∑fiui∑fi ) Here a = assumed mean = A h = class interval = B fi = frequency of ith class ui = dih di = xi – a ∑fiui = sum of products of ‘u’ and frequency for each class interval = C D= total number of observation =∑fi Hence m = A + B × CD

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