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Given below is the information about marks obtained in Mathematics and Statistics by 100 students in a class. Which subject shows A the highest variability in marks? Mathematics Statistics Mean 20 25 - Mathematics and Statistics

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प्रश्न

Given below is the information about marks obtained in Mathematics and Statistics by 100 students in a class. Which subject shows A the highest variability in marks?

  Mathematics Statistics
Mean 20 25
S.D. 2 3
योग

उत्तर

Here, `bar("x"_"m")` = 20, `bar("x"_"s")` = 25, σm = 2, σs = 3

C.V. (M) = `(sigma_"m")/(bar("x"_"m"))xx100`

=`(2)/(20) xx 100`
= 10%

C.V. (S) = `(sigma_"s")/(bar("x"_"s"))xx100`

=`(3)/(25) xx 100`
= 12%
Since, C.V. (S) > C.V. (M)
∴ The subject statistics shows higher variability in marks.

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Coefficient of Variation
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Measures of Dispersion - Exercise 2.3 [पृष्ठ ३४]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
अध्याय 2 Measures of Dispersion
Exercise 2.3 | Q 10 | पृष्ठ ३४

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