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

If the standard deviation of a data is 3.6 and each value of the data is divided by 3, then find the new variance and new standard deviation - Mathematics

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Question

If the standard deviation of a data is 3.6 and each value of the data is divided by 3, then find the new variance and new standard deviation

Sum

Solution

The standard deviation of the data = 3.6

Each value of the data is divided by 3

New standard deviation = `3.6/3` = 1.2

New Variance = (1.2)2 = 1.44 ...[∴ Variance = (S.D)2]

New standard Deviation = 1.2

New variance = 1.44

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Measures of Dispersion
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Chapter 8: Statistics and Probability - Exercise 8.1 [Page 313]

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Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 8 Statistics and Probability
Exercise 8.1 | Q 9 | Page 313
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