Advertisements
Advertisements
प्रश्न
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?
Advertisements
उत्तर
Let n1 = 42, n2 = 60, `bar("x"_1)` = 750, `bar("x"_2` = 400, σ1 = 8, σ2 = 10
C.V. (1) = `100xxsigma_1/bar("x"_1)=100xx8/750` = 1.07%
C.V. (2) = `100xxsigma_2/bar("x"_2)=100xx10/400` = 2.5%
Since, `bar("x"_1)>bar("x"_2)`
i.e., average weekly wages are more for first department.
∴ first department has a larger bill.
APPEARS IN
संबंधित प्रश्न
Find the coefficient of Variation of a sample which has mean equal to 25 and standard deviation of 5.
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 |
Regarding the time required to complete the job, which worker is more consistent?
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 |
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.
Find the coefficient of variation of a sample which has mean equal to 25 and standard deviation of 5
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 |
- 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 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 |
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 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 |
| No of items | 3 | 14 | 13 | 16 | 19 | 24 | 11 |
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 |
In a series of observations, coefficient of variation is 25 and mean is 20, then the variance is ______.
