मराठी

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

Advertisements
Advertisements

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.

बेरीज
Advertisements

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.

shaalaa.com
Coefficient of Variation
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Measures of Dispersion - Miscellaneous Exercise 2 [पृष्ठ ३५]

APPEARS IN

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

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.


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

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


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
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?


Select the correct option from the given alternatives :

Standard deviation of data is 12 and mean is 72 then coefficient of variation is


Answer the following :

Calculate coefficient of variation of the following data: 23, 27, 25, 28, 21, 14, 16, 12, 18, 16


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 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

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

Life (in years) No of Cars
Company U Company V
0 - 5 5 14
5 - 10 18 8
10 - 15 17 18

Which company shows greater consistency?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×