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Describe the scope and limitation of statistics.
Determine average wages from the following data:
| Wages | 25-30 | 30-35 | 35-40 | 40-45 | 45-50 | 50-55 | 55-60 | 60-65 | 65-70 |
| No of workers | 10 | 13 | 18 | 21 | 24 | 28 | 20 | 11 | 8 |
Calculate Karl Pearson’s correlation coefficient from the following data:
| Sales | 43 | 41 | 36 | 34 | 50 |
| Expenses | 10 | 22 | 13 | 19 | 17 |
Estimate the marks in JAVA when the marks in statistics are 65 using the following data:
| Marks in statistics | 57 | 58 | 59 | 59 | 60 | 61 | 62 | 64 |
| Expenses | 77 | 78 | 75 | 78 | 82 | 82 | 79 | 81 |
Fit a Binomial Distribution from the following data where p=0.5:
| No. of health | 0 | 1 | 2 | 3 | 4 |
| Frequency | 28 | 62 | 46 | 20 | 4 |
How do you determine sample size in sampling? (Explain briefly)
Write short notes on Simple Random Sampling.
Attempt any TWO questions
[2x10=20]Student's age in the regular daytime BCA program and the morning time BCA program of the campus are described by two samples. If the homogeneity in age of the class is a positive factor in learning, make suggestions with reason about which of the two groups will be easier to teach.
| Popular BCA Programs | Morning BCA Programs | ||
| Age | No of Students | Age | No of students |
| 23 | 9 | 27 | 19 |
| 29 | 2 | 31 | 8 |
| 28 | 5 | 30 | 5 |
| 22 | 10 | 29 | 4 |
| 30 | 1 | 28 | 6 |
| 21 | 4 | 33 | 5 |
| 25 | 11 | 34 | 5 |
| 26 | 6 | 35 | 11 |
| 27 | 3 | 36 | 2 |
| 24 | 9 | 32 | 4 |
| Total | 60 | Total | 60 |
Given a normal distribution with mean = 200 and standard deviation = 20, find the probability that:
i) P(X>180)
ii) P(X<220)
iii) P(160< x<240)
iv) P(x>220)
ii) 10% of the values are less than what value of X?
The labor productivity indexes of Nepal are recorded below:
| Sector | years | ||
| 2015 | 2016 | 2017 | |
| Agriculture | 100 | 125 | 138 |
| Manufacturing | 100 | 60 | 53 |
| Community and Social Service | 100 | 89 | 80 |
i) Difference in the sector
ii) Difference in the time period