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BACHELOR'S DEGREE PROGTTAIVIMETerm-End Examination

]une, 2009

ELECTIVE COURSE : COMMERCE

ECO-7 : ELEMENTS OF STATISTICSTime : 2 hours Maximum Marks : 50

Note : There are three sections and all are compulsory.

1 .

SECTION-'A

Fill in the blanks with the appropriate word given .in the brackets :

(a) The errors caused by drawing inferencesabout the population on the basis of sampleare termed as[Sampling/ Non-sampling]

(b) The last step of a statistical survey is to write

[Report/ Questionnaire](") An average grves a of the entire

data.

[Bird's-Eye View/ Picture]

5x1=5

ECO-7 P.T.O.

(d) Median can never be equal to mean l n adistribution.

[Normal/Skewed]

G) Amongst the three averages (AM,HM), harmonic mean is the[largest/least]

2. State whether the statements given below areTrueor False :

(u) Two dimensional diagram indicates area.

(b) The variance and the coefficient of variationare the same.

(c) Only mathematical measures of averagecan be calculated by using weights.

(d) In a frequency distribution graphs, value ofvariable is shown on X-axis.

(") Data affay is very useful when the numberof observation is very large.

GM and

5x1=5

ECO-7

SECTION.B

Attempt any tarc fro* the follouting : 8+7=1,53.

l...-.drF{

[--.O

(u) "Explain the terms dispersion and Skewness,and emphasize on the need of their studyin statistics.

(b) Calculate Bowley's Coefficient of Skewnessfor the following.

Marks

3

5

7

I

10

No. of students

3

5

I

6

2

4. (u) The number of workers in differentdepartments of two workshops are asfollows : 10+5=15

Departments Workshop-I Workshop-IIProcessing

ManufacfuringPacking

MarketingTotal

80905030254

40252015100

Prepare percentage sub-divided rectangularbar diagrams.

ECO-7 P.T.O.

In a batch of 15 students, 5 students failedin test. The marks of 10 students who passedwere :

What was the median marks of all the 15students ?

5. (a) Find out the missing frequencies in thefollowing incomplete distribution. 10+5=15

Measurement 0-10 10-20 20-30 3040 40-50Frequency 3 ? 20 72 ?

The value of median and mode arc 27 and26 rcspectively.

Find the coefficient of Skewness if mode ismore than mean bv 4.5 and the varianceis 121,.

(b)

(b)

9 6 7 8 8 9 6 5 4 7

ECO-7

SECTION.C

Distinguish betw een any tuto of the following :

(u) Biased and Unbiased Errors(b) Classification and Tabulation(.) Quartiles and Deciles(d) Diagram and graph

- o O o -

5x2=L0

ECO-7 P.T.O.

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5x1=5

ECO-7 P.T.O.

EF'Ef?n fr-Enftq-q'r q;rfr fr Ilqiiltqreq *'qqn TS A Tlq-fr t

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(d)

ECO-7

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3

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8

10

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5

8

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8+7=15

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(b) firq eri*,d q;r anst *l idqffir Wifi 16 *1ffi r

4. (a) { o,dvrdr * tcfitn frqrr?r q qw{ir *t tsrge rx'n t , 10+5=15

fqqT'rT 61q\-61-1 qTtrnertlsf*qTfdf{ffit+qfdlrq{

80905030250

4025201 5

100

,6qrc sq-fr+nFwc srFrrnirn ws irt s$frswr+iFqr

ECO-7 P.T.O.

(b) rs tuenfit4f * qfr +rq6d 5 f{srfi qfrqr d tffid .rt I qrdl Ai Erd ro ffitd *. srn f{qy*n q :

ffi 15 frqrfifm + sfdi q1 qfiry+r {rd qfrfrq ?

(a) F E{iffrd *rTt qfr t erurd silEfoif *1 arc

q|fitrs,r\3qgffisT TFIE'[H[: 27yei zotr

9 6 7 I 8 9 6 5 4 7

10+5=15

fdqqdT UUrifr Arc qtfuq, qft "-garfr

qrq t+.s erftm t !F y{t{q (variance) 121 t r

qnq - TT

6. ftrrfrfur d t f*' A fr qin dit't-{q :(a) eTfirrd qq sfififfd frsq(b) qrfrfi{ur qg

FrErftfi

(.) rufs qq q{*-fi(d) srRs \F fd{

- o O o -

5x2=1.0