The mean of 2, 7, 6 and x is 15 and the mean of 18, 1, 6, x and y is 10. What is the value of y?
Given: mean of 2, 7, 6 and x is 15
Mean =
⇒ 15 =
⇒ 60 = 15 + x
⇒ x = 60 – 15 = 45 …(i)
Also, given that mean of 18, 1, 6, x and y is 10
10 = [∵ mean = 10]
⇒ 50 = 25 + 45 + y = 70 + y [from equation (i)]
⇒ y = 50 – 70 = - 20
Thus, y = - 20