Question

The mean of the following distribution is 290.find y
0-100 : 8
100-200 :15
200-300:32
300-400:y-4
400-500:12
500-600:7

Answer 1

firstly we find class distribution are continous=

50
150
250
350
450
550
secondly calculated the total frequency = 70+y
thirdly calculate the fixi continuous =

400
2250
8000
350y-1400
5400
3850
total = 18500+350y

now by using formula of mean =£fixi/£fi
290=18500+350y/70+y
290(70+y)=18500+350y
20300+290y=18500+350y
20300-18500=350y-290y
1800=60y
300=y

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