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Question

If the mean of the following frequency distribution is 15, find the value of p.
Variable (xi)1012141618
Frequency (fi)13p153228

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Solution

xi fi fixi
10 13 130
12 p 12p
14 15 210
16 32 512
18 28 504
fi=88+p fixi=1356+12p
¯¯¯x=fixifi

15=1356+12p88+p

1320+15p=1356+12p
3p=36
p=12

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