5702

Total No. of Pages:

4

5702

Register Number: Name of the Candidate:

B.B.A. DEGREE EXAMINATION December 2014 (SECOND YEAR) (PART – III)

260. QUANTITATIVE METHODS (Common with Double Degree) Time: Three hours

Maximum: 100 marks

SECTION – A

(10 × 2 = 20)

Answer any TEN questions 1.

Define statistics.

2.

What is a sampling?

3.

What do you understand by central tendency?

4.

What is geometric mean?

5.

How does mean deviation differ from standard deviation?

6.

What purpose does a measure of dispersion?

7.

Desire Karl Pearson’s coefficient of correlation.

8.

What is regression line?

9.

Explain the term “Personal Index”.

10. Desire Binomial Distribution. 11. What is Symmetric matrix? 12. What is scalar matrix?

SECTION - B

(4

 10 = 40)

×

Answer any FOUR questions 13.

Discuss the scope and limitation of statistics.

14.

Explain the purpose of tabular presentation of statistical data.

15.

The following table gives the height of students in a class. Find out the quartile deviation. Height (inches) : No. of students :

50-53 2

53-56 7

56-59 24

59-62 27

62-65 13

65-68 3

2

5702 16.

Five men in a company of 20 are graduates. It 3 men are picked out of them 20 at random, what is the probability that they are all graduates? What is the probability of atleast one graduate?

17.

Calculate Karl Pearson’s coefficient of correlation for the following data: Subject

18.

Marks obtained

Mathematics

20

25

30

35

40

45

50

55

60

Statistics

16

20

23

25

33

38

46

50

55

The following table shows the number of customers returning the products in a marketing territory. The data is for 100 stores: Fit a Poisson distribution 0 1 2 3 4 5 6 4 14 23 23 18 9 9

No. of returns : No. of stores :

SECTION - C

(2

 20 = 40)

×

Answer any TWO questions 19.

Calculate mean, median and mode from the following data: Marks more than : No. of students :

20.

40 50

60 28

80 18

100 9

120 3

91 71

97 75

108 69

121 97

67 70

124 91

51 39

73 61

111 80

57 47

The following are the Index Numbers of prices-shift the base from 1975 to 1978: Year : Index number:

22.

20 76

From the following data obtain the two regression equations: Sales : Purchases :

21.

0 80

1975 100

1976 110

1977 110

1978 200

1979 320

1980 400

1981 410

Solve the following equation by using inverse of matrix. 2x + 3y – z = 9 x+y+z=9 3x – y – 2 = -1

1982 400

1983 380

1984 370

3

5702 jkpHhf;fk; gFjp - m vitnaDk; gj;J tpdhf;fSf;F tpilaspf; ff ; t[k;

(10 × 2 = 20)

1. g[s;spapay; tiuaW. 2. khjpupf; fzpg;g[ vd;why; vd;d? 3. ikag;nghf;F Fwpj;J jh';fs; g[upe;Jf; bfhz;lJ vd;d? 4. bgUf;F ruhrup vd;gJ ahJ? 5. tpyfyhdJ epaktpyfypUe;J vt;thW ntWgLfpwJ 6. rpjwy; msitfspd; gad;fs; ahit? 7. fhu;y; gpau;rdpd; xl;Lwt[ bfGit tiuaW. 8. cld; bjhlu;g[ nghf;F tup vd;gJ ahJ? 9. jdpegu; FwpaPl;L vz; tpsf;F. 10.
vitnaDk; vitnaDk; ehd;F tpdhf;fSf;F tpilasp

13. g[s;spapaypd; nehf;fk; kw;Wk; jilfis tpthjp. 14. ml;ltizg;gLj;jp tpsf;Fjypd; gad;ghLfis tpsf;ft[k;. 15. fPH;fz;l ml;ltizapy; jug;gl;Ls;s khztu;fspd;  cau mst[fisf; bfhz;L fhy; gFjp tpyfiy (Quartile Deviation) fz;Lgpo. cauk; (m';Fyk;) : khztu; vz;zpf;if :

50-53 2

53-56 7

56-59 24

59-62 27

62-65 13

65-68 3

16. 20 ngu; gzpg[upa[k; epWtdj;jpy; 5 Mz;fs; gl;ljhupfs;. me;j 20 ngupy; rPuw;w Kiwapy; (Random) 3 ngiu gl;ljhupfshf mike;J vLf;f epfH;jft[ ahJ? xnu xUtu; kl;Lnk gl;ljhupahf ,Uf;f epfH;jft[ ahJ?

4

5702 17. fPH;fz;l g[s;sp tpguk; bfhz;L fhu;y; gpau;rdpd; xl;Lwt[ bfHit fzf;fpLf. (Co-efficient of correlation). Subject (ghlk;)

bgw;w kjpg;bgz;fs;

fzpjk;

20

25

30

35

40

45

50

55

60

g[s;spapay;

16

20

23

25

33

38

46

50

55

18. xU

re;ijapay; gFjpapy; bghUl;fis jpUk;g mspj;jtu;fs; gl;oay; fPH;fz;Ls;sJ. ,e;j g[s;sp tpgukhdJ 100 filfspypUe;J bgwg;gl;lJ. 0 4

jpUk;g bgwg;gl;l vz;zpf;if : filfspd; vz;zpf;if

nkw;fz;l jfty;fisf; bghWj;Jf.

bfhz;L

1 14

2 23

3 23

4 18

(Poisson

gha;rd;

5 9

6 9

distribution)   gutiy

gFjp - , (2 × 20 = 40)

vitnaDk; ,U tpdhf;fSf;F tpilasp

19. fPH;fz;l jfty;fisf; bfhz;L ruhrup (Mean) ,ilepiy mst[ (Median) kw;Wk; KfL (Mode) fz;lwpf. 0 80

kjpg;bgz; mst[ : khztu; vz;zpf;if :

20 76

40 50

60 28

80 18

100 9

120 3

20. fPH;fz;l g[s;sp tpguj;ijf; bfhz;L ,U cld; bjhlu;g[ nghf;Fr; rkd; ghl;il fhz;. tpw;gid : bfhs;Kjy; :

91 71

97 75

108 69

121 97

67 70

124 91

51 39

73 61

111 80

57 47

21. fPH;fz;lit tpiyf; FwpaPl;L vz;fs;. mog;gil khw;wkhdJ 1975 Kjy; 1978 tiu (Shift the base from 1975 to 1978). tUlk; : FwpaPl;L vz; :

1975

1976

1977

1978

1979

1980

1981

1982

1983

1984

100

110

110

200

320

400

410

400

380

370

22. jiyfPH; mzp tupirf; bfhz;L fPH;fz;l rkd;ghl;il jPu;: 2x + 3y – z = 9 x+y+z=9 3x – y – 2 = -1 &&&&&&&