Find mean from the following data . ( 6 marks ). C.I - 0-5 | 5-10 | 10-15 | 15-20 |20-25 | 25-30 | 30-35 Frequency - 10 | 12 | 16 | 15 | 14 | 10 | 08 ( A) 7. (B) 10 (C) 17 (D) 27
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Answer:
Given,
Class interval (CI) :
0-5,5-10,10-15,15-20,20-25,25-30,30-35
Frequency (fi) :
10,12,16,15,14,10,8
Class mark ( Xi):
2.5 ,7.5,12.5,17.5,22.5,27.5,32.5
Fi.Xi :
25,90,200,262.5,315,275260
Sigma Fi = 85
Sigma Fi.Xi = 1,427.5
BY DIRECT METHOD,
Mean (X) = sigma fi.xi / sigma fi
= 1427.5/85
= 16.7
therefore MEAN (X) = 16.7
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