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ICSE Class X Math 2015 Paper

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Question : 28 of 52
Marks: +1, -0
Calculate the mean of the following distribution:
 Class Interval  Frequency
 0-10  8
 10-20  5
 20-30  12
 30-40  35
 40-50  24
 50-60  16
Solution:  
 Class  Mid value (x)  f  fx
 0-10  5  8  40
 10-20  15  5  75
 20-30  25  12  300
 30-40  35  35  1225
 40-50  45  24  1080
 50-60  55  16  880
     Î£f=100  Î£fx=3600
   Mean   =x‾  =  ΣfxΣf\; \text{ Mean } \; = \overline{x} \; = \; \frac{\Sigma f x}{\Sigma f}
  =  3600100=36.\; = \; \frac{3600}{100} = 36 .
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