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A group of 65 students of class XI have their average height is 150.4 cm with coefficient of variation 2.5%. What is the standard deviation of their height?

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प्रश्न

A group of 65 students of class XI have their average height is 150.4 cm with coefficient of variation 2.5%. What is the standard deviation of their height?

योग
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उत्तर

Given, n = 65, `bar"x"` = 150.4, C.V. = 2.5%

C.V. = `(sigma)/bar"x" xx 100`

∴ 2.5 = `(sigma)/(150.4) xx 100`

∴ `(2.5 xx 150.4)/(100) = sigma`

∴ `sigma = (376)/(100)`

∴ `sigma` = 3.76

∴ The standard deviation of students height is 3.76.

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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 ३३]

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बालभारती Mathematics and Statistics (Commerce) Part 2 [English] Standard 11 Maharashtra State Board
अध्याय 2 Measures of Dispersion
Exercise 2.3 | Q 5 | पृष्ठ ३३

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