If the mean of the following frequency distribution is 28.5, find the value of p.
x 15 20 25 30 35 40
f 8 7 P 14 15 6
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Answer:
mean=120+140+25p+420+525+240/8+7+p+14+15+6
28.5=1445+25p/50+p
28.5×50+p=1445+25p
1425+28.5p=1445+25p
28.5p-25p=1445-1425
3.5p=20
p=20/3.5
p=20/35×10
p=5.7
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