Maharashtra State BoardHSC Commerce 11th
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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

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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

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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
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