Answer the following questions in detail−

Calculate mean from the following data by step deviation method.

Class 10-20 20-30 30-40 40-50 50-60

Frequency 2 3 9 4 2

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Solution

C.I.

Midpoint

x_i

f_i

(X – A) = d

$\frac{(d)}{i} = d_{1}$

fd₁

10–20

15

2

–20

–2

–4

20–30

25

3

–10

–1

–3

30–40

(A)35

9

0

0

0

40–50

45

4

10

1

4

50–60

55

2

20

2

4

20

$\sum 1$

$X = A + \frac{\sum f d i}{N} \times i = 35 + \frac{1}{20} \times 10 = 35.5$

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