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Annamalai University 2008-2nd Year B.Com " 231 / 620 / 630BUSINESS STATISTICS " Part IV I ( Common with International Banking and Accounting and Finance ) - Question Paper

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Register Number:

Name of the Candidate :

5 14 7 B.Com. DEGREE EXAMINATION, 2008

(SECOND YEAR)

( PART - IV )

(PAPER -1)

231 / 620 / 630. BUSINESS STATISTICS

( Common with B.Com. International Banking and B.Com. Accounting and Finance )

December ]    [ Time : 3 Hours

Maximum : 100 Marks

SECTION - A (5x2= 100)

Answer any FIVE questions.

All questions carry equal marks.

1. (a) How is Statistics used in solving certain problems in Commerce ?

(b) Explain the precautionary steps to be taken before making use of secondary data.

2. (a) Explain the different kinds of classifications and give examples.

(b) Draw a suitable diagram for the following data related to the percentage expenditures on various items.

Agriculture and Rural

Development    - 12-9 %

Irrigation, etc    -    12-5%

Electricity    -    27-2 %

Industry and Minerals    -    15-4 %

Transport, Communication, etc    -    15-9%

Social Services and Others    -    16-1 %

3. (a) Write the properties of an ideal average.

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SUUJgJ

(6U(njLffji6ij)

Qusror

LDaBfiBsrTQajrT,

(000)

Qusror i_51 rrjLji_|

5T SSHY SOTjfl ,

a_u51iT6unL|?-

ffjsiyiOTr

6l511a6LD

15 - 19

1,600

19,000

0-921

20-24

1,000

70,200

0-901

25-29

1,685

90,600

0-885

30-34

1,730

62,400

0-862

35-39

1,725

32,500

0-850

40-44

1,620

11,000

0-832

45-49

1,510

800

0-812

6. Jg}, L| (ol 9 0 6, 6U SLI, rr LLI, IT) (ol 9 LLI FJ , l_51 6BT 611 0 LD

6lflurjlil6(61Tjffi(ff) X = 10 6T6g)JLb <3uiTFJ Y - 6BT

LD i U, U 6 6 6SffT 6 cS .

X

4

8

12

16

20

24

26

Y

15

24

38

51

55

65

80

7.    <90 fibrTSUaQajlTLlt 6Ulf|.?ffi6rT6ST J5rT6BT(S) 2_ njJUL|66TT urfjrfjl siSlsurflsBflB.

8.    (BQip Q6IT(h)ffi6UUll(h)6TT6TT 6lflurjlil6(61Tjffi(ff), Lf]6ST6U0Lb (J_p, jD LJ1_1 LC)_ 6lfl6Uffi(aj rfjl Ilf L_Ql_6ff5T 6 6SffT 6 cS l_ 61| LD.

Ch) anxilQ.srrrTsrfl.

Qu06(s)lsrrrTsrfl.

(olurT06TT

1985- sb

Slfl , 60 (0.)

H6TT61|

2002 - eo

Slfl , 60 (0.)

<9- ft <56 <56 ( rr

3-0

20 Kg.

4-0

LDIT 61_|

1-5

40 Kg.

1-6

unsb

1-0

10 Kg.

1-5

9. 2_ llfl IT U l_| 6TT 6rfl llfl LLI, 6U 6U, [J LU| JT) (ol 9 LLI 6 .    6BT

uujsjrumllem" 6T(Lgi, Hlsifl 61T61T (o|61I61I<361I gU 611, 6 LLI IT 6ST Slfl S3 r&l B, 6TT <5b 6 6SffT 6 cS LD (Lp, IT) 6, 61T 6lfl6TT6(S)6.

(b) Compute Arithmetic Mean and Geometric Mean for the following frequency distribution.

X

F

10 - 14

5

15 - 19

12

20 - 24

28

25 - 29

30

30 - 34

15

35 - 39

8

40-44

2

4. (a) Define skewness and describe any one method of measuring its coefficient.

(b) Compute Karl Pearsons coefficient of skewness for the distribution.

5. Define correlation between two variables and

compute the Karl Pearsons coefficient of correlation for the data given below.

X

4-5

8-1

10-3

12-5

160

20-5

21-0

24-5

Y

150

165

184

205

210

225

240

264

() |j] 6ST 6U (TF, LD U tj 6U 6 0, 6 n IT 6TJ L_S1 UJ IT ff1 6cf) 6BT G 6 IT ll l_ 6 Q 6 (Lg 61 6BT 6 6 6SffT 6 l .

5.    0 LD IT l]51 6 (6TTj 6 .S, l_ LU IT 6BT ffj ll IT) SiSI, 6BT 6U, [J LU, IT)

(olcfLLISJ, Lil6BTeU0LD 61<ilurrr5l6(eiT36g| 6mt6ij LilLLirrS6cfl6BT f} L- @ jD 6l| a (ol 6 (Lg 61 6ST 6 6 6SffT 6 l .

X

4-5

8-1

10-3

12-5

160

20-5

21-0

24-5

Y

150

165

184

205

210

225

240

264

anxLlQiSrrrrarfl lid it) rrj ld , Qi_i0a&(ffjlairjrTairf) ,.1 LLI SLI 17} IT) 6 6 655fl 6 6 .

4. (q) Q 6 IT ll l_ &, &, 6BT |LD|LU 6XJ , rr LLI , JD d LLI ffj , HffiQfibLgSlilsBT HSITSlilQSLia) IT)6rT6BT ST (off. 6m I LD

Q 0 (Lp, ff) llfl, 65T Sl51 SIT 6 (ffj .

below, interpolate y for x =10.

X

4

8

12

16

20

24

26

Y

15

24

38

51

55

65

80

7.    Explain all the four components of a time

series.

8.    From the following data compute price index applying :

(a) Arithmetic mean

and (b) Geometric mean.

Commodity

Price in 1985 Rs.

Quantity

Price in 2002 Rs.

Sugar

3-0

20 Kg.

4-0

Flour

1-5

40 Kg.

1-6

Milk Powder

1-0

10 Kg.

1-5

9. Define Vital Statistics. Write its uses and describe the methods of obtaining various rates of Vital Statistics.

10. Compute the gross and net reproduction rates from the data given below.

Age in years

Female population (000)

Female births number

Survival

rate

15 - 19

1,600

19,000

0-921

20-24

1,000

70,200

0-901

25-29

1,685

90,600

0-885

30-34

1,730

62,400

0-862

35-39

1,725

32,500

0-850

40-44

1,620

11,000

0-832

45-49

1,510

800

0-812

Su5lLpiT6E>a>Lb

6jGa6g!jLb ggri>j oil 6st it a a (6rjj a ( sil a0a.

65T B)    6lil6BTiraa(6TTjag|Lb ffLD LDilj(olU6Wyra61T.

(5x2=    100)

l. Ch) 6U IT 6ssfl LJ ff) i 6TJ 2_ 61T 61T #] 60    6LI, a

iJI rr, , 6bt a (65 a 0 it sl| a it 6ror u    it) g, l_|6TT6Tflll5]lLI6:L) 6T 611 SLI IT njj LJlLI6BTu(h)<S IT)S| ?

Ctt) @ rr 6OTT l_ IT LD r! 60 L| 61T 6lfl 6l51 U tj lil a, 6IT U u lli 6bt uQajgjeLiajiTigi (Lp 6bt urras a, i_ l5] ii|_ a a <3 6LI 6OTT L|_ LLI    (Lp 6BT (ol 6BT | ifl S , 8

i5L6Liii|_alaal6iTu u it) n5) eiil 6li if) a a.

2.    (*5h) 6U, 46 LJ U &, 4FJ a> 6l51 6BT (ol 6U 611 <3 SU gj (J, jD 6,

2_ff)nrr6Sffrr5l6(6n3l_6BT eiilesJlflaa.

() (ol 6U 611 <3 6U njj 1 6BT ril 6 (6TTj 6 6 n 6BT (ol ff1 60 6L| (olajiTLLiLb sff)6if    jT) rfl uj eiilurrriiaeiT (bQlq

Q6IT(5a6UUll(56iT6TT61J IT) l]51 lt)g| (ol U IT 0 ff) ff) LD IT 6BT 6lil 61T a a U LJ L LD 6U, [J a.

eJleunaLULb mrrifpjLb, ssrrrrsB

eu ott ,#1    - 12-9%

LJ IT F 6BT LD, ) S) [T 6U, a lifl 6TJ    - 12-5 %

L6l6BTSITrrLb    - 27-2 %

(ol ff) IT Lj51 IT) .9613 LD jT) fpj LD ,

6 6cflLD6LI6TTLb - 15-4 %

GurTffieurrff), QswigQigrTLifLi,

) 5 rr 6U, a u51 6tj 15-9 %

sLpa (5611 ld jT) rpj ld ) 5 rr

6U, a u51 6tj - 16-1 %

3.    (*h) <90 cflffjrijaj rr it rfl a 0 rfl lli u6rorL|a6iT

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