Question

In a frequency distribution if a=assumed mean =55 €fi =100 h=10 and fiui=-30 then find the mean

Answer 1

Answer:

Step-by-step explanation:

we know that:

MEAN=   A+[∈fiui/fi]*h

therefore:

mean= 55+[-30/100]*10

         =55+[-3]

         =52

therefore,mean=52

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Answer 2

Answer:

mean from  given data is 52

Step-by-step explanation:

Given that  a = Assumed mean  = 55

           ∑$f_{i}$ =  number of observations = 100

             h =  class interval =  10

            ∑ $f_{i} u_{i}$  = -30

In step deviation method the formula for mean is given by

 mean = a+[ ∑$f_{i} u_{i}$ / ∑$f_{i}$ ] ×h

⇒ mean = 55 + [ -30/100] ×10

              = 55 - [3/10] ×10

              = 55 - 3 = 52