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The mean and standard deviations of two brands of watches are given below: Brand-I Brand-II Mean 36 months 48 months S.D. 8 months 10 months Calculate coefficient of variation of the two brands and i - Mathematics and Statistics

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प्रश्न

The mean and standard deviations of two brands of watches are given below:

  Brand-I Brand-II
Mean 36 months  48 months
S.D. 8 months 10 months

Calculate a coefficient of variation of the two brands and interpret the results.

योग

उत्तर

Here, `bar("x"_"I") = 36, bar("x"_"II") = 48, sigma_"I" = 8, sigma_"II" = 10`

C.V. (I) = `100 xx sigma_"I"/bar("x"_"I") = 100 xx 8/36` = 22.22%

C.V. (II) = `100 xx sigma_"II"/bar("x"_"II") = 100 xx 10/48` = 20.83%

Since, C.V. (I) > C.V. (II)
∴ brand I is more variable.

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Coefficient of Variation
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Measures of Dispersion - Miscellaneous Exercise 2 [पृष्ठ ३५]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
अध्याय 2 Measures of Dispersion
Miscellaneous Exercise 2 | Q 15 | पृष्ठ ३५

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