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If the mean of the data 7, 7, 9, 7, 8, 7, λ, 8 is 7, then the variance of this data is ______. -

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Question

If the mean of the data 7, 7, 9, 7, 8, 7, λ, 8 is 7, then the variance of this data is ______.

Options

  • `5/4`

  • `7/4`

  • `1/4`

  • `11/4`

MCQ
Fill in the Blanks

Solution

If the mean of the data 7, 7, 9, 7, 8, 7, λ, 8 is 7, then the variance of this data is `underlinebb(11/4)`.

Explanation:

Mean: `(28 + 16 + 9 + λ)/8` = 7

λ = 3

Variance: σ2 = `(2^2 + 1^2 + 4^2 + 1^2)/8`

σ2 = `11/4`

Variance = `11/4`

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