S-35/BCM-106/BC-02 1 P.T.O.
[Total No. of Printed Pages: 7 Roll No...
BCM-106 / BC-02
Business Statistic and Mathematics/
Business Statistic
O;kolkf;d lkaf[;dh vkSj xf.kr@O;kolkf;d lkaf[;dh
Bachelor of Commerce (B.Com.-10/16/17) First Year Examination, 2019
Time: 03 Hours Max. Marks: 80
Note: This paper is of Eighty (80) marks, divided into two (02) sections A and B. Attempt the questions contained in these sections according to the detailed instructions given therein.
uksV% ;g iz”u i= vLlh ¼80½ vadksa dk gSA tks nks ¼02½ [k.Mksa] d rFkk [k esa foHkkftr gSA izR;sd [k.M esa fn;s x;s foLr`r funsZ”kksa ds vuqlkj gh iz”uksa dk gy djuk Gsa
SECTION A /
¼[k.M&d½
(Long-Answer-Type Questions) /
¼nh?kZ mRrjksaa okys iz”u½
Note: Section 'A' contains five (05) long-answer-type questions of fifteen (15) marks each. Learners are required to answer any three (03) questions.
(3×15=45)
uksV% [k.M ^d* esa ik¡p ¼05½ nh?kZ mRrjksa okys iz”u fn;s x;s
gSa] izR;sd iz”u ds fy, iUnzg ¼15½ vad fu/kkZfjr gSaA
f”k{kkfFkZ;ksa dks buesa ls dsoy rhu ¼03½ iz”uksa ds mRrj nsus
gSaA
S-35/BCM-106/BC-02 2 P.T.O.
1. What is meant by business forecasting? What are its object? Explain briefly the main methods used in business forecasting.
O;kolkf;d iwokZuqeku dk D;k vFkZ gS\ blds D;k mn~ns”; gksrs gSa\ la{ksi esaa O;kolkf;d iwokZuqeku esa iz;qDr dh tkus okyh izeq[k jhfr;ksa dks le>kb;sA
2. Write an essay on statistical system in India.
Hkkjr esa lkaf[;dh; O;oLFkk ij ,d ys[k fyf[k,A
3. Find out Arithmetic mean, mode and median of the following series-
Income No. of Persons
(F)
100–200 15
100–300 33
100–400 63
100–500 83
100–600 100
S-35/BCM-106/BC-02 3 P.T.O.
fuEu Js.kh dk lekUrj ek/;] cgqyd rFkk ef/;dk Kkr dhft,&
vk; ¼ ½ esa O;fDr;ksa dh la[;k
100–200 15
100–300 33
100–400 63
100–500 83
100–600 100
4. Find out Karl Pearson’s sufficient of correlation from the following data.
Series (x) Series (Y)
17 12
18 16
19 14
19 11
20 15
20 19
21 22
21 16
22 15
23 20
S-35/BCM-106/BC-02 4 P.T.O.
fuEu laedksa ls dkyZ fi;lZu lglEcU/k xq.kkad Kkr dhft,&
Js.kh
(x)Js.kh (
Y)17 12
18 16
19 14
19 11
20 15
20 19
21 22
21 16
22 15
23 20
5. Given below are the data for marks in mathematics and accounts in a certain examination. Obtain the two regression equations.
Maths Accounts
Mean marks 75 70
Standard Deviation 06 08 Coefficient of correlation (r= + 0.72)
S-35/BCM-106/BC-02 5 P.T.O.
fdlh ijh{kk esa xf.kr ,oa ys[kkfof/k esa izkIrkadksa ds lead fuEu izdkj gSa] nksuksa izrhixeu lehdj.k Kkr dhft,&
xf.kr ys[kkfof/k
vkSlr vad 75 70
izeki fopyu 06 08
lglEcU/k xq.kkad
(r= + 0.72)SECTION-B /
¼[k.M&[k½
(Short-Answer Type Questions)
Note: Section ‘B’ contains eight (08) short-answer type questions of seven (07) marks each. Learners are required to answer any five (05) questions only.
uksV% [k.M ^[k* esa vkB ¼08½ y?kq mRrjh; iz”u fn;s x;s gSa]
izR;sd iz”u ds fy, lkr ¼07½ vad fu/kkZfjr gSaA f”k{kkfFkZ;ksa dks buesa ls dsoy ik¡p ¼05½ iz”uksa ds mRrj nsus gSaA
1. Define Statistics.
lkaf[;dh dks ifjHkkf’kr dhft,A
2. Which points must be considered while constructing graphs? State.
js[kkfp=ksa dh jpuk djrs le; fdu fcUnqvksa dks /;ku esa
j[kuk vko”;d gSaA crkb,\
S-35/BCM-106/BC-02 6 P.T.O.
3. Differentiate permutations and Combinations.
Øep; rFkk lap; dk varj Li’V dhft,A
4. What do you mean by time series?
dky&Js.kh fo”ys’k.k ls vki D;k le>rs gSa\
5. Distinguish between dispersion and skewness.
vifdj.k rFkk fo’kerk esa Hksn Li’V dhft,A
6. Find out median in the following series.
S. No.- 1 2 3 4 5 6 7 8 Marks- 7 9 10 18 20 28 30 40
fuEu Js.kh ls e/;dk Kkr dhft,&
Øekad& 1 2 3 4 5 6 7 8 izkIrkad& 7 9 10 18 20 28 30 40 7. The Arithmetic mean of the following distribution
is 10.6. Find out unknown value.
Value- 7 10 – 12
Frequency- 2 5 2 1
fuEu caVu dk ek/; 10-6 gSA vKkr ewY; Kkr dhft,&
ewY;&
7 10 – 12ckjackjrk&
2 5 2 1S-35/BCM-106/BC-02 7 P.T.O.
8. If it rains, a taxi driver can earn Rs 1400/- per day. If it is a clear day, he can lose Rs 200/-. If the probability of rain is 0.55. Find his expectation.
