Gujarat University 2007 B.A Statistical Methods (F.S.) - Question Paper

Paper-I
(New Course)
Time : three Hours] [Max. Marks : 70
Instructions : (1) every ques. carry equal no. of marks.
(2) Calculator is allowed.
1. (a) discuss questionnaire method. (4)
(b) discuss : (5)
(i) Statistical Series
(ii) kinds of Classifications
(c) Write the difference ranging from primary data and secondary data. (5)
OR
(a) Prepare frequency distribution with class interval ‘8’ of which 1 class must be
24 – 32. (7)
12, 15, 24, 34, 57, 7, 12, 19, 8, 20
19, 48, 62, 29, 47, 35, 56, 43, 3, 18
34, 40, 32, 43, 35, 23, 9, 18, 22, 27
(b) Draw Histogram, frequency polygon, frequency curve and cumulative frequency
curve. (7)
Class 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70
Frequency three five 10 15 seven six 4
2. (a) discuss meaning of avg.. discuss its kinds. (7)
(b) obtain Mean, Median, Mode and P80. (7)
Class 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60
Frequency eight 20 11 five four 2
OR
(a) discuss measures of dispersion. (7)
(b) obtain standard deviation. (7)
Class 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50
Frequency six eight 15 11 10
FA-80 4
3. (a) discuss meaning of permutation and combination. Write its formulas. (4)
(b) Solve formula nP3 : (n + 1)P3 = three : four (5)
(c) In a certain examination there are 6 papers. In how many ways can learner fail ? (5)
OR
(a) discuss kinds of skewness. (6)
(b) obtain co-efficient of skewness by bowley’s methods. (8)
Class 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70 70 – 80
Frequency three five 10 15 seven six three 1
4. (a) Write rules of probability. (4)
(b) 2 unbiased dice are thrown simultaneously. obtain the probability of sum is
subsequent : (5)
(i) Sum is six
(ii) Sum is at lowest ten
(c) An example of statistics is provided to 3 students. Probability of solving the
example correctly are respectively 12
, 23
and 34
. obtain the probability that the example
solved. (5)
OR
(a) Write rules of Expectation. (4)
(b) obtain K and E(x) (5)
x 0 one two 3
P(x) 0.1 0.3 0.2 K
(c) If E(x) = two and E(x2) = five then obtain (5)
(i) E(3x + 5)
(ii) V(x)
(iii) V(3x – 2)
5. (a) discuss various moments. (4)
(b) obtain 1st 4 central moments for 2, 4, 6, eight and 10. (5)
(c) The 1st 4 raw moments are 1, 4, 10 and 46. obtain B1 and B2. (5)
OR
(a) Write properties of Binomial distribution. (4)
(b) Fit Poisson distribution : (5)
x 0 one two three 4
f 110 65 21 three one e– 0.6 = 0.5488
(c) There are seven red and four black balls in box. 3 balls are drawn 1 by 1 without
replacement. obtain probability that (5)
(i) 2 red and 1 black ball.
(ii) All are of identical colour.
FA-

Earning:   Approval pending.