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If for a Sample of Size 60, We Have the Following Information ∑ X 2 I = 18000 and ∑ X I = 960 , Then the Variance Is(A) 6.63 (B) 16 (C) 22 (D) 44 - Mathematics

MCQ

If for a sample of size 60, we have the following information \[\sum_{} x_i^2 = 18000\] and \[ \sum_{} x_i = 960 \] , then the variance is

 

Options

  • 6.63   

  •  16  

  • 22    

  • 44 

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Solution

Given:

\[\sum_{} x_i^2 = 18000\] ,  \[ \sum_{} x_i = 960 \]   and n = 60 

∴ Variance

\[= \frac{\sum_{} x_i^2}{n} - \left( \frac{\sum_{} x_i}{n} \right)^2 \]

\[ = \frac{18000}{60} - \left( \frac{960}{60} \right)^2 \]

\[ = 300 - 256\]

\[ = 44\]

Concept: Statistics - Statistics Concept
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 32 Statistics
Q 15 | Page 51
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