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Tamil Nadu Open University (TNOU) 2009-2nd Year B.Com .>>BUSINESS STATISTICS AND OPERATIONS RESEARCH>>E, .>> - Question Paper

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B.Com. DEGREE exam —
JUNE, 2009.
Second Year
(AY 2003-04 and CY 2004 batches only)
BUSINESS STATISTICS AND OPERATIONS
RESEARCH
Time : three hours Maximum marks : 75
part A — (3 ´ five = 15 marks)
ans any 3 ques..
1. elaborate the general rules to be followed in tabulation?
2. elaborate the sources of Primary Data?
3. discuss the components of Time Series.
4. compute mean from the subsequent data :
x : 0-10 10-20 20-30 30-40 40-50
f : six five eight 15 7
5. compute standard deviation from the subsequent data:
x : 10 20 30 40 50 60
f : eight 12 20 10 seven 3

part B — (4 ´ 15 = 60 marks)
ans any 4 ques..
6. compute Mean, Median and Mode for the subsequent
data :
5000, 10000, 25000, 15000, 18000, 2000, 5000

7. From the subsequent data compute rank
correlation :
x : 48 33 40 nine 16 16 65 24 16 57
y : 13 13 24 six 15 four 20 nine six 19

8. Fit a straight line pattern by lowest square method to the subsequent data :
Year : 1975 1976 1977 1978 1979 1980 1981
Production
(in “000” units) :

9. obtain the y on x from the subsequent data and also
x on y :
x y
Mean x
:
30 500
SD s : five 100
g 0.8

10. compute Laspeyre’s-Paasche’s and Fishers Index
number :
Item 1998 1998
Qty. Price Qty. Price
A six 40 seven 30
B four 45 five 50
C one 90 two 40

11. Solve the subsequent assignment issue :
I II III IV
A eight 26 17 11
B 13 28 four 26
C 38 19 18 15
D 19 26 24 10

12. A ball is drawn at random from a box containing
6 red balls, four white balls and five blue balls. Determine the
probability that it is
(a) Red
(b) Blue
(c) White.

————————

Wk Ser

UG-708    BCOAL-2

B.Com. DEGREE EXAMINATION JUNE, 2009. Second Year

(AY 2003-04 and CY 2004 batches only)

BUSINESS STATISTICS AND OPERATIONS RESEARCH

Time : 3 hours    Maximum marks : 75

SECTION A (3 x 5 = 15 marks)

Answer any THREE questions.

1.    What are the general rules to be followed in tabulation?

as j    P

uj ai?

2.    What are the sources of Primary Data?

    b <5[pT -a?

3.    Explain the components of Time Series.

ot p otujS.

4.    Calculate mean from the following data :

x : 0-10 10-20 20-30 30-40 40-50 f: 6 5 8 15 7

REp ~p pkjkp- umripfr LSpp Lp iit[P$ ujS PnP>& uj PS ktoii?

x : 0-10 10-20 20-30 30-40 40-50 f : 6 5 8 15 7

5.    Calculate standard deviation from the following data

x : 10 20 30 40 50 60 f : 8 12 20 10 7 3

REp -o pkfep- LJOTkpnOT LSpp p ri[p$ ujS Vmh p upZ u PnuQkP ?

x : 10 20 30 40 50 60 f : 8 12 20 10 7 3

SECTION B (4 x 15 = 60 marks)

Answer any FOUR questions.

6.    Calculate Mean, Median and Mode for the following data :

5000, 10000, 25000, 15000, 18000, 2000, 5000

LSpp p <ir[Pp PirpQ. <cl_{ gps

Pk(B QW<g0 pupOTUQOTp ?

:5551655551 7: 5551 6: 55516=5551 75551 : 555

7.    From the following data calculate rank correlation :

x : 48 33 40 9 16 16 65 24 16 57 y : 13 13 24 6 15 4 20 9 6 19

RSp ~p PkkP- umrcpniOT LSpp    p iit[P$ ujS jT Q9\ Jjpfj Ps ko i?

x : 48 33 40 9 16    16 65 24 16 57

y : 13 13 24 6 15    4 20 9 6 19

8.    Fit a straight line trend by least square method to the following data :

Year :    1975 1976 1977 1978 1979 1980 1981

Production    6 8 9 10 12 11 8

(in 000 units) :

ROp-o Pkip- ummpnOT LSpp p <it[P$ gjS S0 pyu PitPD ggp &9 p    h TP ?

b s k?    1975 1976 1977 1978 1979 1980 1981

EguV    6 8 9 10 12 11 8

555 aS. ?

9.    Find the y on x from the following data and also x on y :

x

y

Mean x

30

500

SD s :

5

100

g

0.8

ip- ugmnrn

P 6

g X x-PngQkP3

x

y

Mean x

30

500

SD s :

5

100

g

0.8

10. Calculate Laspeyres-Paasches and Fishers Index number :

Item

1998

1998

Qty.

Price

Qty. Price

A

6

40

0

3

B

4

45

5 50

C

1

90

0

4

(iD UJgjJB

gas1

m\Qb .mrfGww

ktDii?

ppp

1998

1998

A

6

40

7 30

B

4

45

5 50

C

1

90

2 40

4

UG-708

A B C D

aV<Pot JX gSU S ktowi?

I II III IV

8

26

17

11

13

28

4

26

38

19

18

15

19

26

24

10


A

B

C

D


I II III IV

8

26

17

11

13

28

4

26

38

19

18

15

19

26

24

10

12. A ball is drawn at random from a box containing 6 red balls, 4 white balls and 5 blue balls. Determine the probability that it is

(a)    Red

(b)    Blue

(c)    White.

J5~q urnnar ]p- uyS <Ppl9-p p uyX<Pp gb

: } uyjSPp <SyX \ffl0-ogu JS uyX js yp utkQfbX .

a. ]p-lS

<b . }

C- ~p p    OTzWgOTp \3

6    UG-708







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