Find the mean of each of the following frequency distributions:
class interval: 0-8 8-16 16-24 24-32 32-40
Frequency: 5 9 10 8 8
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Answer:
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Step-by-step explanation:
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Mean = 16.4
Step-by-step explanation:
Let us assume A = 20.
Please refer to the attached picture for the table.
class interval: 0-8 8-16 16-24 24-32 32-40
midpoint (x1) : 4 12 20 28 36
d1 = x1 - 20 : -16 -8 0 8 16
u1 - x1-20/8 : -2 -1 0 1 1
Frequency f1 : 5 9 10 8 8
f1u1 : -10 -6 0 3 4
Sum of frequency = 20
Sum of f1u1 = -9
We have A = 20 and h = 8
Mean = A + h (sum of f1u1/sum of f)
= 20 + 8 (-9/20)
= 20 + -72/20
= 20 - 3.6
Mean = 16.4
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