Madurai Kamraj University (MKU) 2007 B.Com Business Statistics and Mathematics - Question Paper
Business Statistics and Mathematics
(6 pages)
6184/SB3/BN4 october 2007
BUSINESS STATISTICS AND MATHEMATICS
(For those who joined in July 2003 and after)
Time : Three hours . Maximum : 100 marks
Answer FIVE questions.
More than THREE questions should not be answered from Section A or B.
All questions carry equal marks.
SECTION A
(STATISTICS)
1. L-| 6iTerfl uSl uj aj sramDira) Grm&n? i_|eiT6fflii51u_iciSlyT
i!)LDan6TT oSleuifl.
What is statistics? Describe the characteristics of Statistics.
2. @nluSL_ ctgott 6rarm)ir6b crarrai? (grftuSiL crcTOrerflcot uujCTTas)6rT oSleuif).
What is an index number? Describe the uses of index numbers.
3. rrirgb lSIujirffeofl6in GffifrLi_ Qffi(Lgas)eu<5 arrasra;.
iSlifl&j 0-5 5-10 10-15 15-20 20-25 25-30 30-35 35-40
0S>6i)Q6Liafffr: 2 5 7 13 21 16 8 3
Find Karl Pearsons Co-efficient of Skewness.
Class Interval: 0-5 5-10 10-15 15-20 20-25 25-30 30-35 35-40 Frequency: 2 5 7 13 21 16 8 3
4. lii)6ffT61J0li> SlcUI7rEJ6rfl66l0(Bl J[T655r Qrri_irLff
ffLD65TU[r(i)IS5SB6rr<S> ffi55Tl<S. X 65T LD<luL| 6.2 OT6Bf1sb Y 65T ldIul) ffirraka.
X: 123456789
Y: 9 8 10 12 11 13 14 16 15
From the following data calculate two regression equations. Find the value of Y when X = 6.2.
5. (y)65Tp jS1u16(t 10 LDrsssr6uir6iflr I.Q. GiraSlao6r iSlasT6U0ib euiflajffuSa) 6uif)65)ffuu65iiT.
(Lpsu : 154896 10 732 l5T6ron_mi)ul: 487659 10 321 (tpQffpirii jS<)u<: 67815 10 9 234
6Lllfl6S)ff llrDa((5 Q<5(Lpcfil6S)65r UlLI0iTU@ 0
iSlulffiOT I.Q. C5>iTS)6)!)65T ajiflanffuufSlgiculd) G[r LDrrlifliurr65r aSl0uui> a_0Di_iuaiir st65tu65) irassruSlss.
Ten competitors in a I.Q. test are ranked by three judges in the following order :
1st Judge .-1 5 4 8 9 6 10 7 3 2
2nd Judge: 487659 10 321
3rd Judge: 67815 10 9 234
Use rank correlation coefficient to determine which pair of judges has the nearest approach to common tastes in I.Q. test.
(MATHEMATICS)
6. 6#5tld GT6ffrninra) crssrsir? ffissnnijaGrflssT u6bGajp 6uanffi65)6rr eSlcuffl.
What is Set? Describe the various types of set.
7. ffiBih cr6ffTnDir6b srmasj? Sldila; ffiDgssrr uebGsuip
6U0DffiffiS5)rr 6fl1surrl<5.
What is proportion? Discuss the various types of proportion.
8. 55. 5,000 6r<]S50D6ffT j,aiffr(Sl6ifl6b j,6ror@ 10% *ll_@
6ULIi}.uSl65Trr6b l(r!5T LD!_r&J<95rr@Lb OTOTTffi <56ror(5ll51u}..
Find the number of years in which a sum of Rs. 5,000 will double itself at a compound interest 10% p.a.
9. @[rmb . 5,000 u).Iul|6tt6tt ffp5@<$as)6TT 6 ldit
<5170)1(1)0 <351_6ST 6lfil(T)U0D65niSl6b CULp(EJllL|6TT6mnT. 6UIT 6%
suuu)- Q<sir6wri_ LDtrjbpa1 $il QQnenn) oipif) lS)
4 6184/SB3/BN4
[P.T.O.] aQgglevrrrrr. @{pnb nnrrbpff#ilai)i_ 2_i_65ruj.iurr
ajiliq. aSli)<s$rE>($ l64 Qffiugi, i$p Qiraoffisouj 6urejluSlaS)i5gi QufbpQffiirwn_mir.
f ; . 5 '<C t
(S)) e_SBT0S)LDffi
(,) eurijlujiT(*la|,
i I
Qg)) euriiliiSl66lj5] Qujdjd '
(rr) aitEiiluSlwr cu0LDir65iLb ctliusiJjbaDjD sirawFffi.
Ram sold goods worth Rs. 5,000 to Hari for 6 months credit and drew a biU on Hari at 6% interest per annum. Ram immediately discounted the bill with the banker at the same rate of interest and got the balance from the bank. Find
(a) True Discount,
(b) Bankers Discount.
(c) Amount received from the bank and
(d) Bankers gain.
10. LDluq rt6wr:
(<*>0 logl728 (<3b) log54
(g log0.0135 (log2 = 0.3010 injbpih
log3 = 0.47712 6T6iTUgi Qffi[r@ffiuuLcrT6rr]).
(a) li>gl728
i
(b) log 54
(c) log0.0135 ; (Given log 2 = 0.3010 and = 0.47712).
6 6184/SB3/BN4
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