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in Statistics by (25.0k points)
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If the mean of the following data is 18.75. Find the value of p.

xi: 10 15 p 25 30
yi: 5 10 7 8 2

1 Answer

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Best answer
X y yx
10 5 50
15 10 150
p 7 7p
25 8 200
30 2 60
 N = 32  \(\sum\)yx = 7p + 460

Given,

Mean = 18.75

\(\frac{\sum yx}{N}=18.75\)

\(\frac{7p+460}{32}=18.75\)

7p + 460 = 18.75 (32)

7p + 460 = 600

7p = 140

p = 20

Hence, 

the value of p is 20

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