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

The standard deviation of a data is 3. If each value is multiplied by 5 then the new variance is - Mathematics

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Question

The standard deviation of a data is 3. If each value is multiplied by 5 then the new variance is

Options

  • 3

  • 15

  • 5

  • 225

MCQ

Solution

225

Explanation;

Hint:

σ = 3

If each is multiplied by 5

The new standard variation is also multiplied by 3

∴ The new S.D = 5 × 3 = 15

Variance = 152 = 225

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Measures of Dispersion
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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 6 | Page 331

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