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The Means and Standard Deviations of Heights Ans Weights of 50 Students of a Class Are as Follows: Which Shows More Variability, Heights Or Weights?

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प्रश्न

The means and standard deviations of heights ans weights of 50 students of a class are as follows: 

  Weights Heights
Mean 63.2 kg 63.2 inch
Standard deviation 5.6 kg 11.5 inch

Which shows more variability, heights or weights?

 
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उत्तर

\[\text{ Coeffient of variations (CV) in weights } = \frac{SD}{Mean} \times 100\]
\[ = \frac{5 . 6}{63 . 2} \times 100\]
\[ = 8 . 86\]

\[\text{ Coefficient of variations (CV) in heights } = \frac{11 . 5}{63 . 2} \times 100\]
\[ = 18 . 19\]

CV in heights is greater than CV in weights.
Thus, heights will show more variability than weights.

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अध्याय 32: Statistics - Exercise 32.7 [पृष्ठ ४७]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 32 Statistics
Exercise 32.7 | Q 2 | पृष्ठ ४७

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