Question

calculate arithmetic mean with the help of following data use direct method.
Plss answer it..​

Answer 1

Answer:

In direct method, the arithmetic mean is calculated by the following formula:

The above formula shows that the sum of product of frequencies with their respective variables (Σfx) is to be divided by the sum of the frequencies (Σf) to derive arithmetic mean.

Explanation:

Answer:- Using direct method

Representing the data into frequency distribution table

x

i

=mid point of each class interval

Class interval No. of workers

(f

i

) x

i

f

i

x

i

1-11 4 6 24

11-21 6 16 96

21-31 10 26 260

31-41 12 36 432

41-51 18 46 828

Σf

i

=50 Σf

i

x

i

=1640

∴mean=

Σf

i

Σf

i

x

i

=

50

1640

=32.8

Average distance covered by 50 persons = 32.8

Answer 2

Mean = sigma FX/ sigma F
Mean= 1430/40
Mean= 36.8
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