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Find the coefficient of variation of a sample which has mean equal to 25 and standard deviation of 5 - Mathematics and Statistics

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प्रश्न

Find the coefficient of variation of a sample which has mean equal to 25 and standard deviation of 5

योग

उत्तर

Given, `bar(x)` = 25, `sigma_x` = 5

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

= `100xx5/25`

= 20%

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Coefficient of Variation
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Measures of Dispersion - Exercise 8.3 [पृष्ठ १८७]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board
अध्याय 8 Measures of Dispersion
Exercise 8.3 | Q 4 | पृष्ठ १८७

संबंधित प्रश्न

Calculate coefficient of variation of marks secured by a student in the exam, where the marks are: 2, 4, 6, 8, 10.

(Given: `sqrt8` = 2.8284)


Find the coefficient of Variation of a sample which has mean equal to 25 and standard deviation of 5.


Two workers on the same job show the following results:

 

Worker P

Worker Q
Mean time for completing the job (hours) 33 21
Standard Deviation (hours) 9 7

Regarding the time required to complete the job, which worker is more consistent?


Two workers on the same job show the following results:

  Worker P Worker Q
Mean time for completing the job (hours) 33 21
Standard Deviation (hours) 9 7

Which worker seems to be faster in completing the job?


A company has two departments with 42 and 60 employees respectively. Their average weekly wages are Rs. 750 and Rs. 400. The standard deviations are 8 and 10 respectively. Which department has a larger variability in wages?


The following table gives weights of the students of class A. Calculate the Coefficient of variation. `("Given": sqrt0.8 = 0.8944)`

Weight (in kg) Class A
25 – 35 8
35 – 45 4
45 – 55 8

Compute coefficient of variation for team A and team B.

No. of goals 0 1 2 3 4
No. of matches played by team A 19 6 5 16 14
No. of matches played by team B 16 16 5 18 15

Which team is more consistent?


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?

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Mean 20 25
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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

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Calculate coefficient of variation for the data given below [Given : `sqrt(3.3)` = 1.8166]

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f 6 7 15 25 8 18 21

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


Two workers on the same job show the following results:

  Worker P Worker Q
Meantime for completing the job (hours) 33 21
Standard Deviation (hours) 9 7
  1. Regarding the time required to complete the job, which worker is more consistent?
  2. Which worker seems to be faster in completing the job?

A company has two departments with 42 and 60 employees respectively. Their average weekly wages are Rs. 750 and Rs. 400. The standard deviations are 8 and 10 respectively: Which department has a larger bill?


A company has two departments with 42 and 60 employees respectively. Their average weekly wages are Rs. 750 and Rs. 400. The standard deviations are 8 and 10 respectively: Which department has larger variability in wages?


Compute coefficient of variation for team A and team B:

No. of goals 0 1 2 3 4
No. of matches played by team A 19 6 5 16 14
No. of matches played by team B 16 14 10 14 16

Which team is more consistent?


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

  Mathematics Statistics
Mean 20 25
S.D. 2 3

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Answer the following :

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Answer the following :

Following data relates to the distribution of weights of 100 boys and 80 girls in a school:

  Boys Girls
Mean 60 47
Variance 16 9

Which of the two is more variable?


Answer the following :

The mean and standard deviations of two bands 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 interpret the results


Answer the following :

Calculate the coefficient of variation for the data given below:

Size (cm) 5 - 8 8 - 11 11 - 14 14 - 17 17 - 20 20 - 23 23 - 26
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Answer the following :

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Answer the following :

Compute coefficient of variations for the following data to show whether the variation is greater in the yield or in the area of the field:

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2011 - 12 156 62
2012 - 13 135 70
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2014 - 15 117 76
2015 - 16 141 65
2016 - 17 154 69
2017 - 18 142 71

Answer the following :

There are two companies U and V which manufacture cars. A sample of 40 cars each from these companies are taken and the average running life (in years) is recorded

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In a series of observations, coefficient of variation is 25 and mean is 20, then the variance is ______.


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