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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?
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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?
Concept: undefined >> undefined
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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 |
Concept: undefined >> undefined
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?
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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 |
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Select the correct option from the given alternatives :
Standard deviation of data is 12 and mean is 72 then coefficient of variation is
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Answer the following :
Calculate coefficient of variation of the following data: 23, 27, 25, 28, 21, 14, 16, 12, 18, 16
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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?
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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
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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 |
Concept: undefined >> undefined
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 |
Concept: undefined >> undefined
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 |
Concept: undefined >> undefined
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?
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There are three bags, each containing 100 marbles. Bag 1 has 75 red and 25 blue marbles. Bag 2 has 60 red and 40 blue marbles and Bag 3 has 45 red and 55 blue marbles. One of the bags is chosen at random and a marble is picked from the chosen bag. What is the probability that the chosen marble is red?
Concept: undefined >> undefined
A box contains 2 blue and 3 pink balls and another box contains 4 blue and 5 pink balls. One ball is drawn at random from one of the two boxes and it is found to be pink. Find the probability that it was drawn from first box
Concept: undefined >> undefined
A box contains 2 blue and 3 pink balls and another box contains 4 blue and 5 pink balls. One ball is drawn at random from one of the two boxes and it is found to be pink. Find the probability that it was drawn from second box
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There is a working women's hostel in a town, where 75% are from neighbouring town. The rest all are from the same town. 48% of women who hail from the same town are graduates and 83% of the women who have come from the neighboring town are also graduates. Find the probability that a woman selected at random is a graduate from the same town
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If E1 and E2 are equally likely, mutually exclusive and exhaustive events and `"P"("A"/"E"_1 )` = 0.2, `"P"("A"/"E"_2)` = 0.3. Find `"P"("E"_1/"A")`
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Jar I contains 5 white and 7 black balls. Jar II contains 3 white and 12 black balls. A fair coin is flipped; if it is Head, a ball is drawn from Jar I, and if it is Tail, a ball is drawn from Jar II. Suppose that this experiment is done and a white ball was drawn. What is the probability that this ball was in fact taken from Jar II?
Concept: undefined >> undefined
A diagnostic test has a probability 0.95 of giving a positive result when applied to a person suffering from a certain disease, and a probability 0.10 of giving a (false) positive result when applied to a non-sufferer. It is estimated that 0.5% of the population are sufferers. Suppose that the test is now administered to a person about whom we have no relevant information relating to the disease (apart from the fact that he/she comes from this population). Calculate the probability that: given a positive result, the person is a sufferer
Concept: undefined >> undefined
