Indira Gandhi National Open University (IGNOU) 2010-1st Year B.Com Elements of Statistics - Question Paper
No. of Printed Pages : 8 ECO-7
BACHELOR'S DEGREE PROGRAMME
Term-End Examination June, 2010
ELECTIVE COURSE : COMMERCE
ECO-7 : ELEMENTS OF STATISTICS
Time : 2 hours Maximum Marks : 50
Note : Attempt any four questions. All questions carry equal marks.
1. (a) Fill in the blanks with the appropriate word
given in the brackets : 8+4Vz
(i) In construction of Index numbers
_mean is specially used.
(weighted / unweighted)
(ii) It takes
time to collect
secondary data compared to primary data, (less / more)
06432
(iii) Use of
is an appropriate
method of data collection when the information is to be obtained at regular intervals over a wide area. (Interview / corespondents)
(iv) Data array
provide any
information regarding the range of data, (does / does not)
(v) It is not always necessary that the magnitude of different classes must be _. (unequal / equal)
(vi) Mode and Median are______
measures, (calculative / positional)
(vii) For a moderately skewed distribution, the emperical relation is given as
. (3Me -IX / 2Me - 3X )
(viii) The title given to rows of a table is called a_. (stub / caption)
(b) State any four limitations of statistics.
2. (a) The median, mean and coefficient of
skewness for a certain distribution are 80,
86 and 0.42 respectively. Calculate coefficient of variation. 6+6V2
(b) The mean and standard deviation of 100 items are 50 and 5 respectively. The mean and standard deviation of another 150 items are 40 and 6 respectively. Find the standard deviation of all the 250 items taken together.
3. Explain the methods of collecting primary data. 12V2
4. Find the mode of the following data graphically. 12V2
* ; 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70 /: 1 6 15 20 15 6 1
5. (a) Calculate mean deviation about median. IO+2V2
*; 20 30 40 50 60 70 /: 8 12 20 10 6 4
(b) What is spurious accuracy ?
6. (a) Calculate geometric mean from the
following data : 8+4V2
Marks: 5 15 25 35 45
No. of students : 5 7 15 25 8
(b) State any four seasons of non - sampling errors.
|
Draw a pie diagram to represent the following 12V2 information : | |
|
Items |
Amount (Rs.) |
|
Food |
800 |
|
Clothing |
200 |
|
Rent |
300 |
|
Other expenses |
500 |
HIrich '3Trfy chl4?b
ch TTTr>Frq : cufui
..3Tt.-7 : Wfejcfft % <To?
*7*7? ; 2 3ffyc?nm 3W : 50
wter: dwrrvFT zrffoyi wft j&if $> am wn*r f i
-riry : 8+4V2
(i) =hf=hl % fmfal f=(t|c1:_
TT[HT FT RtT fTT WT 11 ( nfTcf / 3TT1%)
(ii) UTlffcRT 3rfeif % ycfcMtrl TgcftW 3TTff
% w*! 3_w enm 11
(iii) 3 IHIH fTRR U+fdd efts'll fj eft ________ T M.'fc
fefa TTpfr 11 (TSflcT=FR/ 4H=llldl)
(iv) TTETfr T sFT R~MW (Data array) Ffif % <h!hm< range % f*T =hl *ft
I (fteTcft flftwt)
(v) '>K>0 1? ff'HsT WT\ FT f-fRTK_fftl (TH/SRPTFf)
(vi) cT*lT TTTtoTT_ f I
( MRfdc*) / ftf=F)
(vii) MR fad 3 % f STTifcb (emperical relation) FTf yci frqr Wctt % ______ %
(3Me -2X / 2Me - 3 X)
(viii) TRTrff if xffY % Wt
_<|l (*cFq #eNt / TTfe
J*M+)
(b) iRsMcbl rt fhrrsrf i
2. (a) fsRTt TTTfTFTT, *TTT cfTT TJJIRT
TWT: 80, 86 cTTT 0.42 11
(coefficient of variation) TFHT I 6+6V2
(b) 100 h<{] )T iTIT M<+i fq-Mtrli pt5H5?fl: 50 rTTT
5|t 3RT 150TKfT'ITTT T3=T fTPT fcMdH 40 cTTT 611 250 fWRR
HMob 1%R<rH ?tld Ny, I
3. 3nff 3ff % Ft nTT I 12V2
4. IdHftrlftsId sfegf FT WF WJ (mode) 12Vl
* : 0 -10 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70 /; 1 6 15 20 15 6 1
5. (a) rHHrdRsId iTPff (values) 3 TTT
(mean deviation about median)
: 10+2V2
x; 20 30 40 50 60 70 /; 8 12 20 10 6 4
(b) MRo&ai (spurious accuracy) TT ld1
6. (a) PtHfafiski 3 (Geometric
Mean) WTT : 8+4Vi
(Marks) 5 15 25 35 45 fcJlRdifl ft fHstil 5 7 15 25 8
(b) %-yRllT (non - sampling errors) % 1+1 SFlWf chlPim, I
7. rwPdfecI STTrgf W\ 3#73 121/2
|
(pie diagram) URT ysfcld | |
|
55 |
TTf?T Q.) |
|
800 | |
|
200 | |
|
H=hH fam |
300 |
|
3TT o'H'H |
500 |
ECO-7 8
|
Attachment: |
| Earning: Approval pending. |
