Tamil Nadu Open University (TNOU) 2006 B.Com Business Statistics and Operation Research - Question Paper

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(    (ganrDQjrrffisg C = j +10x₂

11 jij>6ff}65T

10! + 4x_s > 20

5: + 5x₂ >20 x_x x₂ > 0 2x₁ + 6x₂ 12

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10.    Explain the scope of Statistics.

LiefTcrfluSlajeSiWT eSsGffaje&eoewuj efiletrsgja.

11.    Calculate the two Regression Coefficients.

x : 2 4 5 6 8 11 y : 18 12 10 8 7 5

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x : 2 4 5 6 8 11 y : 18 12 10 8 7 5

12.    Find rank correlation coefficient from the following data.

x : 40 42 48 35 38 40 45 70 55 51 y : 125 124 120 120 130 128 122 110 116 118

tS!T6U(TFj6U6BT 0U3    5(f6uif)anff

* : 40 42 48 35 38 40 45 70 55 51 y : 125 124 120 120 130 128 122 110 116 118

B.Com. DEGREE EXAMINATION - JANUARY, 2006. (For AY 2003-04 and CY-2004 batch students) Second Year

BUSINESS STATISTICS AND OPERATION RESEARCH

Time : 3 hours    Maximum marks : 75

SECTION A (3 x 5 = 15 marks)

Answer any THREE questions.

1.    What are various methods of classification of data? eueb iSlrfiuu<lsi udiGajgj (tpeorDaar ujtTaneu?

2.    What are the advantages of Standard Deviation? L-L-file>)fte5lnj56Br6i[)io0T uuraieu?

3.    Explain Time Series Analysis. meop Qrriir uuurujai

4.    Calculate Harmonic mean from the following.

x : 5 10 15 20 25

f \ 2 3 4 6 5

iSlajrajib ffi6uwffi6iflG$l0(5gi DrrQiDraifla ffgrrffiflesjiua awrl(5i.

* : 5 10 15 20 25 f : 2 3 4 6 5

5.    What is the chance of getting a king in a draw from the pack of 52 cards?

52 tS|L.[)ueiflc5l0j6gj $0    ilanu cruuarr

ujrrgj?

SECTION B (4 x 15 = 60 marks)

Answer any FOUR questions.

6.    Calculate mean median and mode.

Class: 0-10 10-20 20-30 30-40 40-50 50-60 f : 8 12 20 10 6 4

ffp-sifl, {g}flni_rla60, (Lps@ 6WT$@.

i3ifloj:    0-10 10-20 20-30 30-40 40-50 50-60

siaoeoQ&joir: 8 12 20 10 6 4

7.    Calculate coefficient of variation. Also variance. Class : 0-100 100-200 200-300 300-400 400-500 Frequency: 10 15 18 13    4

LDTTgauml    ffi0Hrr<l<S. LI_e5la>ffiSF

inrrgijurrL!i).6n6!TiL|ib aawralgiffi.

iSlfflaj: 0-100 100-200 200-300 300-400 400-500 c9)ana)Qaj6Sfr: 10 15 18 13 4

8. Prove that Fishers Index is an Ideal Index nuxnt .r from the following using Time Reversal and factor Reversal Test. Base Year Current Year

Commodity Price Quantity Price Quantity A 2 40 6 50 B 4 50 8 40 C 6 20 9 30 D 8 10 6 20 E 10 10 5 20 ffiireu, ffirrp-flHT uorrpgiiff Cffirstnwrsanerr uiuaru, iSlffirem (sj[>luS 1(5 5rr6t)L0iurrTT rSluS crest rliSl. UfUUSDL, =f,6wr pLuutrewr QurrgjerT S1ogu |0(gj efilsOEU *SH6D@ cr 2 40 6 50 iSI 4 50 8 40 #1 6 20 9 30 8 10 6 20 10 10 5 20 9. Minimise Less C = Subject to lOa + 4x2 > 20 5xj + 5x2 > 20 jq x2 0 2x, + 6*2 > 12.

Use Graphical method.

3

2418

Attachment: tamil-nadu-open-university--tnou--2006-b-com-48956-1.pdf

Earning:   Approval pending.