Advertisements
Advertisements
प्रश्न
Calculate coefficient of variation of marks secured by a student in the exam, where the marks are: 85, 91, 96, 88, 98, 82
उत्तर
| xi | `x_"i" - bar(x)` | `(x_"i" - barx)^2` |
| 85 | – 5 | 25 |
| 91 | 1 | 1 |
| 96 | 6 | 36 |
| 88 | – 2 | 4 |
| 98 | 8 | 64 |
| 82 | – 8 | 64 |
| `sumx_"i"` = 540 | `sum(x_"i" - barx)^2` = 194 |
Here, n = 6, `bar(x) = (sumx_"i")/"n" = 540/6` = 90
Var(X) = `sigma_x^2 = 1/"n" sum(x_"i" - barx)^2 = 194/6` = 32.33
∴ S.D. = `sigma_x = sqrt("Var(X)")`
= `sqrt(32.33)`
= 5.69
Now, C.V. = `100 xx sigma_x/bar(x)`
= `100 xx (5.69)/90`
= 6.32%
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.
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?
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?
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 |
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?
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 |
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 |
- 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 :
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 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 :
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, S.D. = 5 and mean is 20, then coefficient of variation is ______.
