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Register Number :
Name of the Candidate :
1 1 5 6
B.Com. DEGREE EXAMINATION, 2009
( SECOND YEAR )
( PART - IV )
( PAPER - I )
231 / 620 / 630. BUSINESS STATISTICS
( Including Lateral Entry and Double Degree )
[ ( Common with B.Com., (I.B.) andB.Com. (Accounting & Finance ) ]
May ] [ Time : 3 Hours
Maximum : 100 Marks
Answer any FIVE questions.All questions carry equal marks.
(5 20 = 100)
1. (a) Explain any one method of collectingprimary data.
(b) Mention the advantages and disadvantagesof secondary data.
Turn over
7 . V>VklK^ V
zk>uzB >D x
sk.
8 . VB, V \uD, [ s
zX| |, V
]A V>B VD.
9 . [kD sz B A s>D
\uD, W|]B A s>D
gBku | :
10. _lK^ \Vk[ J \uD,
VV>V Wl k>uz
sV B_ >BVD.
1995 2000 1995 2000A 80 105 4 6B 15 30 2 3C 8 14 3 4D 35 80 1 2E 160 210 5 5
V^s
8
kBm
(k]_) \^ >VA
5 - z 15,000 3605 - zD 30 - zD l_ 20,000 40030 - z \_ 10,000 280
2. (a) Draw Ogive curves for the following dataand find out median :
(b) Discuss the quantitative classification ofdata.
3. (a) Mention the properties of a good average.
(c) Compute arithmetic mean, median andmode for the following frequencydistribution :
2
Class Frequency 0 - 5 6
5 - 10 10
10 - 15 4
15 - 20 12
20 - 25 8
25 - 30 2
X F10 - 14 1515 - 19 1820 - 24 2825 - 29 3030 - 34 1535 - 39 1040 - 44 5
4 . () Vs s|k>uV
kk x kB.
(g) kD kKz V_BM[
Vs | :
5. \VBBV[ |s
kB Fm, s [kD
sz D.
6 . V[B[ xl B[|] 35
kB]uz zukV[ >T>>
| :
|gzukV^
>T>D
25 - z 1530 - z 2440 - z 3850 - z 51
7
Turn over
X : 45 81 103 125 160 205 210 245Y : 150 165 184 205 210 225 240 264
q f 5 - 15 1015 - 25 2025 - 35 3035 - 45 4045 - 55 5055 - 65 6065 - 75 7075 - 85 80
2 . () [kD sz { k
km, WB | :
(g) A^sV V>
kX sz.
3 . () _ Vl[ A
z|.
(g) [kD k kKz
|V, W \uD, x|
gBku | :
0 - 5 6
5 - 10 10
10 - 15 4
15 - 20 12
20 - 25 8
25 - 30 2
X F10 - 14 1515 - 19 1820 - 24 2825 - 29 3030 - 34 1535 - 39 1040 - 44 5
6 3
4. (a) Define different methods of measuringco-efficient of skewness.
(b) Compute Karl Pearsons co-efficient ofskewness for the following distribution :
5. Define correlation between two variables andcompute the co-efficient of correlation for thedata given below :
Class f 5 - 15 10
15 - 25 20
25 - 35 30
35 - 45 40
45 - 55 50
55 - 65 60
65 - 75 70
75 - 85 80
X : 45 81 103 125 160 205 210 245
Y : 150 165 184 205 210 225 240 264
Turn over
9. Compute crude death rate and standardiseddeath rate for the following information :
10. Prepare a questionnaire to collect informationfrom the students of a college about theirsocial and economic status.
>twVD>twVD>twVD>twVD>twVD
kBD nmnmnmnmnm sVz sB.
m m m m m sVzD \ \ \ \ \ \]^.
(5 20 = 100)
1 . () x>_W A^s
>uV >D xB
sk.
(g) VDW A^sV
[\ y\ z|.
Age group(in years) Population
No. ofdeaths
Below 5 15,000 360
Between 5 and 30 20,000 400Above 30 10,000 280
5
Turn over
6. Determine the percentage of criminals under35 years of age using Lagranges method :
7. Explain any two methods of eliminating trendin a time series.
8. Compute Laspeyres, Paasches and Fishersprice index numbers and check if they satisfythe factor reversal test :
Age % Criminals
Under 25 yrs. 15
Under 30 yrs. 24
Under 40 yrs. 38
Under 50 yrs. 51
1995 2000 1995 2000
A 80 105 4 6
B 15 30 2 3
C 8 14 3 4
D 35 80 1 2
E 160 210 5 5
CommodityPrice Quantitiy
4