The mean of the following data is 8.
x | 3 | 5 | 7 | 9 | 11 | 13 |
y | 6 | 8 | 15 | p | 8 | 4 |
The value of p is
Given: Mean = 8
X | Y | X × Y |
3 | 6 | 18 |
5 | 8 | 40 |
7 | 15 | 105 |
9 | P | 9p |
11 | 8 | 88 |
13 | 4 | 52 |
∑y = 41 + p | 303 + 9p |
Mean =
⇒ 8 =
On cross multiplying both the sides we get,
⇒ 303 + 9p = 8(41 + p)
⇒ 303 + 9p = 328 + 8p
⇒ 9p – 8p = 328 – 303
⇒ p = 25