# In the following data one of the value of y is missing. Arithmetic means of x and y series are 6 and 8 respectively. (2=1.4142) x 6 2 10 4 8 y 9 11 ? 8 7 Estimate missing observation - Mathematics and Statistics

Sum

In the following data one of the value of y is missing. Arithmetic means of x and y series are 6 and 8 respectively. (sqrt(2) = 1.4142)

 x 6 2 10 4 8 y 9 11 ? 8 7

Estimate missing observation

#### Solution

Let the missing observation be 'a'

 x 6 2 10 4 8 y 9 11 a 8 7

bar"x" = 6,  bar"y" = 8, n = 5

bar"y" = (sum_"y")/"n" = (35 + "a")/5

∴ 8 = (35 + "a")/5

∴ a + 35 = 40
∴ a = 40 − 35
∴ a = 5
∴ Missing frequency = 5

Concept: Correlation
Is there an error in this question or solution?