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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10

If the mean and coefficient of variation of a data are 4 and 87.5% then the standard deviation is - Mathematics

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Question

If the mean and coefficient of variation of a data are 4 and 87.5% then the standard deviation is

Options

  • 3.5

  • 3

  • 4.5

  • 2.5

MCQ

Solution

3.5

Explanation;

Hint:

`bar(x)` = 4, coefficient of variation = 87.5%

C.V. = `sigma/bar(x) xx 100`

⇒ 87.5 = `sigma/4 xx 100`

σ = `(87.5 xx 4)/100`

⇒ = 3.5

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Coefficient of Variation
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Chapter 8: Statistics and Probability - Exercise 8.5 [Page 331]

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Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 8 Statistics and Probability
Exercise 8.5 | Q 8 | Page 331
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