Question

temp problem solving using step deviation method​

Answer 1

Answer:

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Explanation:

X Mid point (X) Frequency (F) i=class interval width A=50 Assumed Means u=

i

x−A

fu

20-40 30 4 20 50 -1 -4

40-60 50=A 8 20 50 0 0

60-80 70 12 20 50 1 12

80-100 90 16 20 50 2 32

Σf=40 Σfu=40

The formula used for arithmetic mean of grouped data by step deviation method is,

X

=A+

∑f

∑fu

×i

A= Assumed mean of the given data

∑ = Summation of the frequencies given in the grouped data

∑fu = Summation of the frequencies and deviation of a given mean data

u=

i

(x−A)

i= Class interval width

X

= arithmetic mean

X

=50+

40

40

×20

=50+20

=70