Find the value of the following distribution whose mean is 16.6
x 8 12 15 p 20 25 30
f 12 16 20 25 16 8 5
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Answer:
p is approximately 23
Step-by-step explanation:
I believe that the data can be arranged as follows:
Values. Frequency. f*x
8. 12. 96
12. 16. 192
15. 20. 300
p. 25. 25p
20. 16. 320
25. 8. 200
30. 5. 150
The mean of data is sum(f*x)/sum(f)
sum(f*x)=1250+25p
sum(f)=110
(1250+25p)/110=16.6
1250+25p=1826
25p=576
p=576/25~=23
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