Advertisements
Advertisements
प्रश्न
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?
Advertisements
उत्तर
| Worker P | Worker Q | |
| Mean time for completing the job (hours) | `bar"p"` = 33 | `bar"q"` = 21 |
| Standard Deviation (hours) | σp = 9 | σq = 7 |
C.V. (P) = `(sigma_"p")/bar"p"xx 100`
= `(9)/(33) xx 100`
= 27.27%
C.V. (Q) = `(sigma_"q")/(bar"q") xx 100`
= `7/21xx100`
= 33.33%
Since, `bar"p"` > `bar"q"`
i.e., expected time for completing the job is less for worker Q.
∴ Worker Q seems to be faster in completing the job.
APPEARS IN
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?
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 |
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 |
- Regarding the time required to complete the job, which worker is more consistent?
- 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 |
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 :
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 |
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?
In a series of observations, coefficient of variation is 25 and mean is 20, then the variance is ______.
