Uttarakhand Technical University 2010-2nd Year B.Com . Elements of Statistics - Question Paper
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Univesity Name: Uttarkhand University
Paper name: Elements of Statistics
Academic Year: 2010
Courses: B.COM.Second Year exam
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853
Roll No
B.COM.(Second Year)Examination 2010 ECO- 07 (Elective Course/ ,Rwd Hio;de) Elements of Statistics/i if[;d d OO
Time: 3 Hours Maximum Marks : 35
le; : 3 i.rfd : 35
Note: Attempt Section A and Section B both. All questions carry equal marks.
ute v Vj c mui dir gy dlft, i ift s"Ui d Vd ieiu g i
Section -A Hiix d
Attempt following questions. (7x2=14)
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1. Distinguish between any two of the following :
lU*ufyf[ia e l fdugh mi e VOj Li*3 dlft, :
(a) Primary and secondary data
(b) Error and mistake
(c) Dispersion and Skewness
(d) Classification and tabulation
(v) iifd ,0 ftOkd led i (c) fOre ,0 vf i (l) Vifdjui Owf i (n) oXfdfur ,0 iijuTi;ui
2. Write short notes on any two of the following :
fU+ufyRsia e l fdugf n|r ij ifsna fViuTl i
(a) Standard deviation.
(b) Index numbers.
(c) Geometric Mean.
(d) Harmonic Mean.
(v) eud fOpyui
(c) funiid i
(i) yuii ei/; i (n) gjirHd ei/; i
Section -B Hnix' [
Attempt any three questions. (7x3=21)
fdugl Ohu ssUi d maj mft,i
fOKiu ,d v;r rniXtXr lod g fdr midT fid e?; doy mg d fy, g tT midT mfpr idix truT g" i bi dFiu dt dtft, i
2. What is a statistical survey? Discuss the steps involved in a statistical survey.
ifddt; lOa-FT d;t g ? iif[dr; iOar.it e fUfgr dnei dr ie>ib, i
3. What do you understand by statistical errors? What are their various types?
ifddt; fOret l vri d; ie>r g ? ;g fdrU id-j d g-r g?
4. Present the following distribution by a histogram and locate the mode:
Mid age in years: 20 25 30 35 40 45 50 Frequency: 4 18 20 15 12 4 2
fUuffir v-ofRr cvu dr vmr fp= d }rt ifir dtft, rFT cgyid dT w yx-bd i
e; vr; o'-1 e % 20 25 30 35 40 45 50
vf : 4 18 20 15 12 4 2
5. Calculate mean, median and mode from the following data:
Marks less than: 10 20 30 40 50 60 70 80 No. of students: 15 35 60 64 96 127 198 250 fUufyf[r vrofRr cvu l ie-urj ei/;, eif/ddT, ,o cgyid dt x.ut dtftd i
vd l de % 10 20 30 40 50 60 70 80 fOlfT;r dt iW %15 35 60 64 96 127 198 250
6. Calculate standard deviation and its coefficient from the following data:
Age in years: 5-7 8-10 11-13 14-16 17-19
Frequency: 7 12 19 10 2
fUufyf[ir v-ofRr cvu l eiud fOpyu ,o fOpj.i x.id dT ifjdyu dtft; i
vi; O'-1 e % 5-7 8-10 11-13 14-16 17-19
vrofRr % 7 12 19 10 2
7. If the mode of the following distribution is Rs. 240 then find the frequency of the class 300-400 :
Expenditure in Rs: 0-100 100-200 200-300 300-400 400-500
500-600
No. of persons: 140 230 270 ? 150 140
f fUuffiT v-ofRr cvu dT cgyid 240 :0 gr ri 300-400 oX vrj-y dt vKir v-ofRr Kir dtft, i
cq; e % 0-100 100-200 200-300 300-400 400-500 500-600 dt iw% 140 230 270 ? 150 140
8. Calculate coefficient of skewness using Quartiles:
Mid Value: 15 20 25 30 35 40 Frequency: 30 28 25 24 10 21
prFd eii }ji o x.id dT ifjdyu dtft; i
Mid Value: 15 20 25 30 35 40
Frequency: 30 28 25 24 10 21
2
The science of statistics is the most useful servant but only of great value to those who understand its proper use. Comment.
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