If the mean of the following data is 15, find p.
x : | 5 | 10 | 15 | 20 | 25 |
y : | 6 | p | 6 | 10 | 5 |
X | y | yx |
5 | 6 | 30 |
10 | p | 10p |
15 | 6 | 90 |
20 | 10 | 200 |
25 | 5 | 125 |
N = p + 27 | ∑yx = 10p + 445 |
Given,
Mean = 15
= 15
= 15
10p + 445 = 15 (p + 27)
10p + 445 = 15p + 405
15p – 10p = 445 – 405
5p = 40
p = = 8