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F.Y.B.A. (Sem-II) Examination
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March / April - 2019
Element of Statistics ( Paper-II)
Instructions:
(1) Figures to the right side indicate the marks of questions.
(2) Graph paper and statistical tables will be provided on request.
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(3) Simple calculator can be used.
Q-1 Answer the following question. (10)
- State different types of diagram.
- What is consistency of data ?
- Give definition of correlation coefficient.
- Given that r=0.2, cov (x,y) = 6, Sx = 5; Find the standard deviation of y.
- In usual notations find Median if j = 0.4, O1 =28 and O3 =47.
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Q-2 (a) Explain : (1) Angular diagram (2) Cumulative frequency curve (6)
(b) Find Correlation coefficient by Karl Pearson's method from the following data. (8)
| X | 20 | 30 | 28 | 17 | 19 | 23 | 35 | 13 | 16 | 38 |
|---|---|---|---|---|---|---|---|---|---|---|
| Y | 18 | 35 | 20 | 18 | 25 | 28 | 33 | 18 | 20 | 40 |
OR
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Q-2 (a) What is correlation ? Explain its types. (6)
(b) Construct frequency polygon drawing a histogram from the given frequency distribution. (8)
| Class | 30-35 | 35-40 | 40-45 | 45-50 | 50-55 | 55-60 | 60-65 |
|---|---|---|---|---|---|---|---|
| Frequency | 4 | 7 | 10 | 18 | 14 | 8 | 3 |
Q-3 (a) What is regression coefficient ? State its characteristics. (6)
(b) State the types of association of two attributes A and B from the following data. (4)
N=400, (B) =300, (A) =250, (aB) =100
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(c) Find Correlation coefficient by concurrent deviation method from the following data. (4)
| X | 23 | 28 | 35 | 20 | 24 | 26 | 22 | 25 |
|---|---|---|---|---|---|---|---|---|
| Y | 24 | 22 | 30 | 19 | 20 | 23 | 28 | 30 |
OR
Q3 (a) What is skewness ? Discuss its types. (6)
(b) Obtain two regression lines for the data given below and estimate the value of Y for x =4.5. (8)
x=55, y=405, sx=12, sy=128 and r=0.65
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Q-4 Give answer any three. (12)
- Explain the importance of statistical diagram.
- What is association of attributes ? State and explain its types.
- Describe a scatter diagram of studying correlation.
- The following information is obtained 2000 students of a college. 800 students were residing in hostel. 1600 students passed in an examination. 100 students of those who failed in the examination were residing in the hostel. Obtain the Yule's coefficient of association between residence in hostel and success in examination.
- Find coefficient of skewness by Karl Pearson's method from the following data.
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| X | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 |
|---|---|---|---|---|---|---|---|---|
| f | 6 | 8 | 10 | 12 | 7 | 4 | 3 | 6 |
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