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Question

The total marks obtained by 40 students in the Annual examination are given below
Marks150200200250250300300350350400400450450500
Students 2 3 12 10 4 6 3
Using step deviation method, find the mean of the above data.

Solution
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Marks

Midpoint(xi)

Students(fi)

Deviation(di)

ui

uifi

150-200

175

2

-150

-3

-6

200-250

225

3

-100

-2

-6

250-300

275

12

-50

-1

-12

300-350

325

10

0

0

0

350-400

375

4

50

1

4

400-450

425

6

100

2

12

450-500

475

3

150

3

9

N=fi=40, h=50
A=325,di=xiA,ui=dih
Mean marks=A+h(uifiN)=325+50(140)
Mean marks=326.25

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