the mean of the following frequency distribution is 57.6 and sum of observation is 50. find the missing frequency f1and f2 class : 0-20,20-40,40-30,60-80,80-100,100-120 & frequency 7,f1,12,f2,8,5&total is 50
Answers
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f1 = 8 f2 = 10
Step-by-step explanation:
class Mean f Class mean * f
0-20 10 7 70
20-40 30 f1 30f1
40-60 50 12 600
60-80 70 f2 70f2
80-100 90 8 720
100-120 110 5 550
32 + f1 + f2 1940+30f1+70f2
32 + f1 + f2 = 50
=> f1 + f2 = 18
Mean = (1940+30f1+70f2)/50
57.6 = (1940+30f1+70f2)/50
=>2880 = 1940+30f1+70f2
=> 940 = 30f1+70f2
=> 94 = 3f1+7f2
f1 + f2 = 18
Solving f1 = 8 f2 = 10
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