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The standard deviation of the data 8, 7, 1, 15, 14, 10, 12 is ______. -

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Question

The standard deviation of the data 8, 7, 1, 15, 14, 10, 12 is ______.

Options

  • `sqrt(52/7)`

  • `52/7`

  • `sqrt(6)`

  • 6

MCQ
Fill in the Blanks

Solution

The standard deviation of the data 8, 7, 11, 15, 14, 10, 12 is `sqrt(52/7)`.

Explanation:

S.D. = `sqrt(1/"n" (sum_("i" = 1)^"n" x_"i"^2) - (barx)^2`

= `sqrt(1/7(899) - (11)^2`

= `sqrt((899 - 847)/7)`

= `sqrt(52/7)`

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Standard Deviation
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