हिंदी

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? - Mathematics and Statistics

Advertisements
Advertisements

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

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.

shaalaa.com
Coefficient of Variation
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Measures of Dispersion - Exercise 2.3 [पृष्ठ ३३]

APPEARS IN

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

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

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 a larger variability in wages?


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

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.


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

C.I. 5 – 15  15 – 25 25 – 35 35 – 45 45 – 55 55 – 65 65 – 75
f 6 7 15 25 8 18 21

Calculate coefficient of variation of marks secured by a student in the exam, where the marks are: 85, 91, 96, 88, 98, 82


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?


The following table gives weights of the students of two classes. Calculate the coefficient of variation of the two distributions. Which series is more variable?

Weight (in kg) Class A Class B
30-40 22 13
40-50 16 10
50-60 12 17

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

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 :

Calculate coefficient of variation for the data given below:

Income
(Rs.)
3000 - 4000 4000 - 5000 5000 - 6000 6000 - 7000 7000 - 8000 8000 - 9000 9000 - 10000
No. of families 24 13 15 28 12 8 10

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×