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The Standard Deviation of First 10 Natural Numbers is (A) 5.5 (B) 3.87 (C) 2.97 (D) 2.87

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प्रश्न

The standard deviation of first 10 natural numbers is

विकल्प

  •  5.5   

  • 3.87 

  • 2.97   

  • 2.87 

MCQ
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उत्तर

We know that the standard deviation of first n natural number is \[\sqrt{\frac{n^2 - 1}{12}}\]

∴ Standard deviation of first 10 natural numbers

\[= \sqrt{\frac{{10}^2 - 1}{12}}\]

\[ = \sqrt{\frac{99}{12}}\]

\[ = \sqrt{8 . 25}\]

\[ = 2 . 87\]

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अध्याय 32: Statistics - Exercise 32.9 [पृष्ठ ५१]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 32 Statistics
Exercise 32.9 | Q 17 | पृष्ठ ५१

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