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Q.

Find the mean of the following data by the assumed mean method:


Class Interval

Frequency

150 - 200

14

200 - 250

26

250 - 300

17

300 - 350

23

350 - 400

20


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a

275

b

279.5

c

325

d

329.5 

answer is B.

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Detailed Solution

Class Interval

Frequency (f)

x

d = x - a

fd

150 - 200

14

175

-100

-1400

200 - 250

26

225

-50

-1300

250 - 300

17

275 = a

0

0

300 - 350

23

325

50

1150

350 - 400

20

375

100

2000

 Σfd=450, Σf=100
x̲=A+ΣfdΣf
   =275+450100
  =279.5
So, Option 2 is correct.
 
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