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If the Sum of the Squares of Deviations for 10 Observations Taken from Their Mean is 2.5, Then Write the Value of Standard Deviation.

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Question

If the sum of the squares of deviations for 10 observations taken from their mean is 2.5, then write the value of standard deviation.

 
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Solution

The sum of the squares of deviations for 10 observations, taken from their mean, is 2.5. 
Square of each deviation =  \[\frac{2 . 5}{10} = 0 . 25\]

Standard deviation = \[\sqrt{0 . 25} = 0 . 5\]

 
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Chapter 32: Statistics - Exercise 32.8 [Page 49]

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R.D. Sharma Mathematics [English] Class 11
Chapter 32 Statistics
Exercise 32.8 | Q 2 | Page 49

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