Advertisements
Advertisements
Question
Find the coefficient of Variation of a sample which has mean equal to 25 and standard deviation of 5.
Advertisements
Solution
Given, `bar"x"` = 25, σ = 5
C.V. = `sigma/"x" xx 100`
= `(5)/(25) xx 100`
= 20%
APPEARS IN
RELATED QUESTIONS
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?
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?
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?
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
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 |
Answer the following :
Calculate coefficient of variation of the following data: 23, 27, 25, 28, 21, 14, 16, 12, 18, 16
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 :
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:
| Year | Area (in acres) |
Yield (in lakhs) |
| 2011 - 12 | 156 | 62 |
| 2012 - 13 | 135 | 70 |
| 2013 - 14 | 128 | 68 |
| 2014 - 15 | 117 | 76 |
| 2015 - 16 | 141 | 65 |
| 2016 - 17 | 154 | 69 |
| 2017 - 18 | 142 | 71 |
