Question

Calculate mean mode median from given cotinous series
C.I : 0-20, 20-40 ,40-60 ,60-80,80-100
Gi :. 2 4 5 12 6

Answer 1

Answer:

Calculation of Mean

Classes Mid-values

(x

i

) Frequency

(f

i

) d

i

=x

i

−50 u

i

=

20

x

i

−50

f

i

u

i

0-20 10 15 -40 -2 -30

20-40 30 18 -20 -1 -18

40-60 50 21 0 0 0

60-80 70 29 20 1 29

80-100 90 17 40 2 34

∑f

i

=100 ∑f

i

u

i

=15

We have,

A= 50, h= 20, N= 100 and ∑f

i

u

i

=15

∴Mean=A+h[

N

1

∑f

i

u

i

]

⇒Mean=50+20×

100

15

$$\Rightarrow Mean = 50+3= 53

Explanation:

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