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TN 12th Question Paper 2026 Statistics

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Page 1

FOR TN 12TH EXAM PREPARATION

TN 12th 2026
Question Paper ·
Statistics
EXAM YEAR TYPE SUBJECT

TN 12th 2026 Question Paper Statistics

Notes · Sample Papers · Previous Year Papers · Mock Tests

Page 2

m
m .co
m .co s e m
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9069
No. of Printed Pages : 12

!9069Statistics! £vÄ Gs
Register Number

m
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PART - III

m .co
/ STATISTICS
s e
s emuªÌ ©ØÖ® B[Q» ÁÈ l a
g la
( / Tamil & English Version)
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a
Põ» AÍÄ : 3.00 ©o ÷|µ® ] [ ö©õzu ©v¨ö£sPÒ : 70

Time Allowed : 3.00 Hours ] [Maximum Marks : 70

AÔÄøµPÒ : (1) AøÚzx ÂÚõUPЮ \›¯õP £vÁõQ EÒÍuõ GߣuøÚ \›£õºzxU
öPõÒÍÄ®. Aa_¨£vÂÀ SøÓ°¸¨¤ß AøÓU PsPõo¨£õÍ›h®
EhÚi¯õPz öu›ÂUPÄ®.
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(2) }»® AÀ»x P¸¨¦ ø©°øÚ ©mk÷© GÊxÁuØS®,
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AiU÷PõikÁuØS® £¯ß£kzu ÷Ásk®. £h[PÒ ÁøµÁuØS
s
ö£ß]À £¯ß£kzuÄ®.
g la
Instructions : (1)
a
Check the question paper for fairness of printing. If there is any lack of fairness,

inform the Hall Supervisor immediately.

(2) Use Blue or Black ink to write and underline and pencil to draw diagrams.

£Sv &
m
I / PART - I

m .co
m .co
SÔ¨¦ : (i) AøÚzx ÂÚõUPÐUS® Âøh¯ÎUPÄ®.
s em 15x1=15

e öPõkUP¨£mkÒÍ |õßS ©õØÖ ÂøhPÎÀ la
las (ii)

ag ªPÄ® Hئøh¯

ag Âøhø¯z ÷uº¢öukzxU SÔ±mkhß Âøh°øÚ²® ÷\ºzx
GÊuÄ®.
Note : (i) Answer all the questions.

(ii) Choose the most appropriate answer from the given four alternatives and write

the option code and corresponding answer.

[ v¸¨¦P / Turn over

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Page 3

9069 2

1. ©õØÖ Gk÷PõÒ ≠ H
1
: µ µ ,
0
GÝ® ÷£õx, wº©õÛUS® £Svø¯ {ºn°¨£x :
(A) Á»•øÚ ÷\õuøÚ (B) Ch, Á» C¸•øÚ ÷\õuøÚ
(C) Ch•øÚ ÷\õuøÚ (D) C¸•øÚ ÷\õuøÚ AÀ»
When the alternative hypothesis is H : µ ≠ µ , the critical region will be determined by :
1 0

(a) right tail (b) both right and left tails

(c) left tail (d) neither right nor left tail

2. ªøPPõs {ø» Gߣx :
(A) (•uÀ ÁøP¨¤øÇ) Cß ÷©À&GÀø» ©v¨¦
P

(B) (•uÀ ÁøP¨¤øÇ)
P

(C) (Cµshõ® ÁøP¨¤øÇ) Cß ÷©À&GÀø» ©v¨¦
P

(D) (Cµshõ® ÁøP¨¤øÇ)
P

What is level of significance ?

(a) Upper limit of P (Type I Error)

(b) P (Type I Error)

(c) Upper limit of P (Type II Error)

(d) P (Type II Error)

3. Pmißø© TÖPÒ Eøh¯ øP ÁºUP ÷\õuøÚ°ß ©õÖ£õk :
n

(A) 2n(B) (C) n (D) n+1 n−1

If n is the degree of freedom of chi-square distribution then its variance is :

(a) 2n (b) n (c) n+1 (d) n−1

4. C¸ÁÈ ©õÖ£õmk¨ £S¨£õ´ÂÀ TSS =

(A) SST+SSB−SSE (B) SST+SSB+SSE

(C) SST+SSB (D) SST−SSB+SSE

In two-way classification the total variation TSS =

(a) SST+SSB−SSE (b) SST+SSB+SSE

(c) SST+SSB (d) SST−SSB+SSE

5. ©õv›¨£s£ÍøÁa ÷\õuøÚ C¸ \õº£ØÓ Áõ´¨¦ ©õÔPÎß
F - __________

AÍøÁPÎß ÂQu® BS®.
(A) vmh »UP® (B) \µõ\›
(C) •Pk (D) ©õÖ£õmk
F-statistic is the ratio of two Independent sample __________.

(a) Standard deviation (b) Mean

(c) Mode (d) Variances

6. ΣD =0,
2
GÛÀ, uµ JmkÓÄ :
(A) 0.5 (B) 0 (C) −1 (D) 1

2
If ΣD =0, rank correlation is :

(a) 0.5 (b) 0 (c) −1 (d) 1

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 2 of 12

Page 4

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3 9069

7. r=0 GÛÀ, cov(x, y) =

(A) −1 (B) 0 (C) α (D) +1

If r=0 then cov(x, y) is :

(a) −1 (b) 0 (c) α (d) +1

m
m .co
.co m
EÍa ÷\õuøÚ°ß u¢øu GßÖ AøÇUP¨£k£Áº :
e
8. (mental test)

(A) ¤µõßêì PÀhß
e m (B) L¤åº
R.A.

l as
(C) ö£Í¼
A.L.
l as (D) QµõUìhß ©ØÖ® öPÍhß ag
ag
__________ is the Father of mental tests.

(a) Francis Galton (b) R.A. Fisher

(c) A.L. Bowley (d) Croxton and Cowden

9. Ehß öuõhº¦ ÷PõkPÒ öÁmiU öPõÒЮ ¦ÒÎ :
(A) (0, 0) (B) ( X, Y ) (C) (1, 1) (D) (X, Y)

m
.co
The regression lines intersect at :

(a) (0, 0)

s em (b) ( X, Y ) (c) (1, 1) (d) (X, Y)

g la
10. a ÷\õuøÚ §ºzv ö\´ÁuØS BÚ {£¢uøÚ :
ÁÇUP©õÚ SÔ±kPÎߣi _ÇÀ
(A) P
01
÷P
10
=1 (B) P
01
×P
10
=1

(C) P
01
+P
12
+P
20
=1 (D) P
01
×P
12
×P
20
=1

The condition for the circular test to hold good with usual notation is :

(a) P ÷P =1 (b) P ×P =1
01 10 01 10

(c) P +P +P =1 (d) P ×P ×P =1
01 12 20 01 12 20

m
m .co
.co
11. 2000B® BsiÀ ~Pº÷Áõº Âø»SÔ±k, B® Bs÷hõk J¨¤k® ÷£õx 1990

em
e m
80%E¯ºQÓx. ÷©¾® B® Bsk ¹. J¸ BsiØS ö£ÖQÓõº GÛÀ,
1990 60,000

l as
las 2000B® BsiÀ AÁº GÆÁÍÄ ö£ÖÁõº ?
ag
ag (A) ¹.
(C) ¹.
BsiØS
BsiØS
(B) ¹.
1,18,000

(D) ¹.
1,80,000
BsiØS
BsiØS
1,08,000

1,02,000

The consumer price index in 2000 increases by 80% as compared to the base 1990. A person

getting Rs. 60,000 per annum in 1990 should now (in 2000) get :

(a) Rs. 1,18,000 p.a. (b) Rs. 1,08,000 p.a.

(c) Rs. 1,80,000 p.a. (d) Rs. 1,02,000 p.a.

[ v¸¨¦P / Turn over

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9069 4

12. _ÇÀ ©õÖ£õkUPõÚ Põµn[PÒ :
(A) ÷£õUS (B) ÷£õUS ÂQu®
(C) ÁoPa_ÇÀ (D) £¸ÁPõ»®
Cyclical movements are due to :

(a) trend (b) ratio to trend

(c) trade cycle (d) seasonal

13. •uÀ ö£õ¸ÍõuõµU PnUöPk¨¦ |øhö£ØÓ Bsk __________.

(A) 1977 (B) 1957 (C) 1987 (D) 1967

The first Economic census was conducted in __________.

(a) 1977 (b) 1957 (c) 1987 (d) 1967

14. ÷u]¯ ©õv›U PnUöPk¨¦ A¾Á»P® (NSSO) ‰»® BsiØS C¸•øÓ
öÁΰh¨£k® CuÌ :
(A) ¤µ©õÚõ (B) \º÷ÁñÚõ
(C) ÷¯õáÚõ (D) \[U¯õ
NSSO publishes the bi-annual journal :

(a) Pramana (b) Sarvekshana

(c) Yojana (d) Sankhya

15. £s¦\õº uµÄPÒ Gߣx :
(A) AÍÂh •i¯õux (B) £Sv¯õP AÍÂhU Ti¯x
(C) AÍÂhU Ti¯x (D) ÷©ØTÔ¯ AøÚzx®
Qualitative data implies :

(a) non-measurable (b) partly measurable

(c) measurable (d) all the above

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 4 of 12

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£Sv & II / PART - II

SÔ¨¦ : GøÁ÷¯Ý® BÖ ÂÚõUPÐUS Âøh¯ÎUPÄ®. ÂÚõ Gs 24 &US
Pmhõ¯©õP Âøh¯ÎUPÄ®. 6x2=12

Note : Answer any six questions. Question No. 24 is compulsory.

m
m .co
.co m
16. J¸ ©õv›¨£s£ÍøÁ°ß vmh¨¤øÇø¯ Áøµ¯Ö.
s e
em a
Define Standard Error of a statistic.

s l
la
£sø£ gÁøµ¯Ö. ag
17.

a
Define an Attribute.

18. F - ©õv›¨£s£ÍøÁa ÷\õuøÚ°ß £¯ß£õkPøÍ GÊxP.
Write the applications of F-statistic.

19. JmkÓÂß £À÷ÁÖ ÁøPPøÍ GÊxP.
m
.co
Write the different types of correlation.

e m
20. C¸ Ehß öuõhº¦U ÷PõkPÎß öPÊUPÒ
las b
YX
=
10
©ØÖ® b
XY
=
5
GÛÀ,
g
17 8

r
XY
Cß ©v¨¦ PõsP. a
10 5
If two regression coefficients are b YX = and bXY = , find the value of r ?
17 8 XY

21. ‰ßÖ •ßPo¨¦ •øÓPÒ ¯õøÁ ?
What are the three types of forecasting ?

m
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J¸ |P›À J¸ SÔ¨¤mh Põ»zvÀ ¤Ó¢u SÇÂPÎß GsoUøP²®, A÷u Põ»
m
22.

.co em
CøhöÁΰÀ CÓ¢u SÇÂPÎß GsoUøP²®, •øÓ÷¯ BPÄ®, 400

em
25BPÄ® £vÄ ö\´¯¨£mkÒÍÚ. Av¼¸¢x A¢|P›ß SÇ CÓ¨¦
l as
las ÂQuzøuU PnUQkP.
(IMR)

ag
ag The number of live births recorded and the number of infants died in a town during a given

period are respectively 400 and 25. Calculate, from this information, the infant mortality

rate of the town for the period.

23. Pø»z vmhzvÀ (curriculum) vmh¨£o Hß ÷uøÁ¨£kQÓx ?
Why is a project work needed in the curriculum ?

[ v¸¨¦P / Turn over

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9069 6

24. RÌPsh uµÄPμ¸¢x B® BsiØS ~Pº÷Áõº Âø» SÔ±mk Gsøn
2017

B® Bsøh Ai¨£øh BshõPU öPõsk PõsP.
2016

B® B®2016 2017

ö£õ¸mPÒ BsiÀ BsiÀ
Âø» Âø» (` ) (` )

÷Pµm 60 80

¥ßì 75 65

uUPõÎ 45 70

öÁ[Põ¯® 80 50

Construct Price Index Number for the year 2017, from the following data taking 2016 as

base year.

Price in Price in
Commodities
2016 (` ) 2017 (` )

Carrot 60 80

Beans 75 65

Tomato 45 70

Onion 80 50

£Sv & III / PART - III

SÔ¨¦ : GøÁ÷¯Ý® BÖ ÂÚõUPÐUS Âøh¯ÎUPÄ®. ÂÚõ Gs 33 &US
Pmhõ¯©õP Âøh¯ÎUPÄ®. 6x3=18

Note : Answer any six questions. Question No. 33 is compulsory.

25. J¸•øÚ ÷\õuøÚ, C¸•øÚ ÷\õuøÚ GߣøÁ £ØÔ ÂÍUSP.
Explain one-tailed and two-tailed tests.

26. 2×2Á›ø\²øh¯ ÷|ºÄ AmhÁønUPõÚ ©õv›¨£s£ÍøÁa ÷\õuøÚø¯z
u¸P.
Give the test statistic for 2×2 Contingency table.

27. J¸ÁÈ ©õÖ£õmk¨ £S¨£õ´Âß |ßø©, SøÓPøÍ GÊxP.
What are the merits and de-merits of one way classification ?

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 6 of 12

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28. ÁÇUP©õÚ SÔ±kPÎÀ R÷Ç öPõkUP¨£mkÒÍ ÂÁµ[PÎß ö£õ¸zu
•øhø©ø¯ Bµõ´P.
N=1000, (A)=600, (B)=500, (AB)=50

Test the consistency of the following data with the symbols having their usual meaning.

m
.co
N=1000, (A)=600, (B)=500, (AB)=50

o m m
. c s e
em
Áøµ¯Ö : Gί ÷|º÷Põmk Ehß öuõhº¦ ©ØÖ® £À\õº Ehß öuõhº¦.
a
29.

as g l
l a
Define simple linear and multiple linear regressions.

ag
30. SÔ±mk GsPÎß öÁÆ÷ÁÖ ÁøPPøÍ Áøµ£h ÁiÂÀ u¸P.
Give the diagrammatic representation of different types of index numbers.

31. J¸ ©õÁmhzvÀ J¸ SÔ¨¤mh |õmPõmi BsiÀ C¸UQßÓ ©UPÒ öuõøP
BS®. A®©õÁmhzvÀ AÆÁõsiÀ £vÁõÚ E°¸hß ¤Ó¢u
85,520

SÇ¢øuPÎß GsoUøP BS®. ÷©ØPsh ÂÁµ[PÐUS¨ ö£õ¸zu©õÚ
745

m
.co
ÁõÌ{ø» ÂQuzøuU PnUQkP.

s em
Population size of a District during a calendar year was 85,520. Also the number of live

la
births registered in the district during the same period was 745. Compute appropriate vital

rate.

ag
32. J¸ ÂÚõ¨£mi¯À •øÓ°À •ß÷\õuøÚ Gߣx GßÚ ?
What is a pretest in the questionnaire method ?

33. RÌPsh ÂÁµzvØS Aøµ \µõ\› •øÓø¯¨ £¯ß£kzv ÷£õUS ©v¨¦PÒ
PõsP.
m
m Á¸h®
c. o øP÷£]PÎß GsoUøP
2015 2016 2017 2018 2019 2020

m .co
m s e
s e 36.17 41.65 53.81 60.99

l
74.91

g a 81.64

la
(B°µzvÀ)
g a
a Calculate the trend values using semi averages method.

Year 2015 2016 2017 2018 2019 2020

No. of mobile
36.17 41.65 53.81 60.99 74.91 81.64
phones (in thousands)

[ v¸¨¦P / Turn over

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9069 8

£Sv & IV / PART - IV

SÔ¨¦ : AøÚzx ÂÚõUPÐUS® Âøh¯ÎUPÄ®. 5x5=25

Note : Answer all the questions.

34. (A) J¸ u¯õ›¨£õͺ ÁÇ[Q²ÒÍ P®¤ Áhzvß \µõ\› Eøh£k® vÓß
A»SPÒ ©ØÖ® vmh »UP®
1900 n/m
2
Azu¯õ›¨£õͺ, u©x 120 n/m .
2

¦v¯ u¯õ›¨¤À, J¸ ¦v¯ öuõÈÀ~m£zøu¨ £¯ß£kzvz u¯õ›UP¨£mh
P®¤ Áhzvß Eøh£k® vÓß AvP›zxÒÍuõPU TÖQÓõº. AUTØøÓa
÷\õuøÚ ö\´¯ P®¤ Áh[PøÍU öPõsh ©õv› GkzxU
60

öPõÒͨ£kQÓx. Aa÷\õuøÚ°À \µõ\› Eøh£k® vÓß GÚU 1960 n/m
2

QøhUQÓx. AÆÁõöÓÛÀ ªøPPõs {ø»°À Azu¯õ›¨£õÍ›ß1%

TØÖ HØP¨£k©õ ?

AÀ»x

(B) 5umha\ºPÒ •Ø£P¼À ©o ÷|µzvÀ umha_ ö\´u £UP[PÎß
1

GsoUøP ©ØÖ® AÁºPÒ ¤Ø£P¼À ©o ÷|µzvÀ umha_
10, 12, 13, 8, 9 1

ö\´u £UP[PÎß GsoUøP umha_ ö\´¯¨£mh 11, 15, 12, 10, 8.

£UP[PÎß GsoUøP°À EÒÍ Âzv¯õ\® SÔ¨¤hzuUPuõ Gߣøu
B´Ä ö\´P.

2
(a) The mean breaking strength of cables supplied by a manufacturer is 1900 n/m with a
2
Standard Deviation of 120 n/m . The manufacturer introduced a new technique in

the manufacturing process and claimed that the breaking strength of the cables has

increased. In order to test the claim, a sample of 60 cables is tested. It is found that the
2
mean breaking strength of the sampled cables is 1960 n/m . Can we support the claim

at 1% level of significance ?

OR

(b) The number of pages typed by 5 DTP-Operators for 1 hour in the morning sessions are

10, 12, 13, 8, 9 and the number of pages typed by them for 1 hour in the afternoon are

11, 15, 12, 10, 8. Is there any significant difference in the mean number of pages typed ?

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 8 of 12

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35. (A) uÛ|£ºPÎß E¯º Cµzu AÊzuzøuU SøÓ¨£uØPõP AÁºPÐUS ‰ßÖ
öÁÆ÷ÁÖ ~m£[PÒ •øÓ÷¯ ©¸¢uÎzuÀ, EhØ£°Ø] ©ØÖ® ]Ó¨¦
EnÄ BQ¯øÁ Áõ´¨¦ •øÓ°À AÎUP¨£kQßÓx. |õßS
Áõµ[PÐUS¨ ¤ÓS AÁºPÎß Cµzu AÊzu® £›÷\õvUP¨£mk £vÄ
ö\´¯¨£mk RÌUPõq® AmhÁøn°À öPõkUP¨£mkÒÍx. ‰ßÖ
m
m
öÁÆ÷ÁÖ ~m£[PÎÚõÀ uÛ|£ºPÎß Cµzu AÊzu \µõ\›PÐUQøh÷¯
.co
.co
H÷uÝ® SÔ¨¤hzuUP Âzv¯õ\® HØ£mkÒÍuõ GÚ ªøPPõs 5%

s e m
s em
{ø»°À ÷\õvUP.
l a
g l a ag
a
©¸¢uÎzuÀ 10 12 9 15 13

EhØ£°Ø] 6 8 3 0 2

]Ó¨¦ EnÄ 5 9 12 8 4

AÀ»x
m
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(B) RÌPõq® AmhÁøn ]» Á¸h[PÎÀ HØ£mh Põ»õsk
ö\»ÂÚ[PøÍU SÔUQÓx. AÆÂÁµ[PÐUS £¸ÁPõ» SÔ±kPÒ PõsP.
e m
las
g
Á¸h®
£¸Á®
2000 2001
a 2002 2003

I 78 84 92 100

II 62 64 70 81

III 56 61 63 72

IV 71 82 83 96

(a) Three different techniques namely medication, exercises and special diet are randomly

m
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assigned to (individuals diagnosed with high blood pressure) lower the blood pressure.

om
After four weeks the reduction in each person's blood pressure is recorded. Test at 5%

. c level, whether there is significant difference in mean reduction of blood pressure among

e m
e m the three techniques.

l as
las ag
g
Medication 10 12 9 15 13

a Exercise 6 8 3 0 2

Special Diet 5 9 12 8 4

OR

[ v¸¨¦P / Turn over

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(b) The following table gives quarterly expenditure over a number of years. Obtain seasonal

indices for the data.

Yea r
2000 2001 2 00 2 20 0 3
Sea son

I 78 84 92 1 00

II 62 64 70 81

III 56 61 63 72

IV 71 82 83 96

36. (A) ¤ßÁ¸® AmhÁøn°À PshÔ¯¨£mh ©v¨¦PÐUS ÂøÍa\¼ß 7

AÍÄ «uõÚ ¦ÊUPÎß \uÃuzvØS Ehß öuõhº¦ \©ß£õk PõsP.
(X) (Y)

ÂøÍa\¼ß AÍÄ (X) 16 15 11 27 39 22 20

¦ÊUPÎß \uÃu® (Y) 24 25 34 40 35 20 23

AÀ»x
(B) C¸ £SvPξÒÍ ©UPÒ öuõøP GsoUøP, A¨£SvPξÒÍ
Á¯xU÷PØÓ SÊUPÒ, AÁØÔÀ HØ£mh CÓ¨¦PÒ BQ¯øÁ RÌUPsh
AmhÁøn°À uµ¨£mkÒÍÚ. AuØS £Sv ©ØÖ® BQ¯ÁØÔß I II

ö\¨£Ûh¨£hõ CÓ¨¦ ÂQu® ©ØÖ® Á¯øuU SÔzu CÓ¨¦ ÂQu[PøÍ
PõsP.

£Sv - I £Sv - II

Á¯x
©UPÒ CÓ¨¦PÎß ©UPÒ CÓ¨¦PÎß
(BskPÎÀ)
öuõøP GsoUøP öuõøP GsoUøP
0-10 3000 55 7500 300

10-25 4500 30 6000 50

25-45 6000 40 8000 40

45 &US ÷©À 1000 15 2000 64

(a) Find the linear regression equation of percentage of worms (Y) on size of the crop (X)

based on the following seven observations.

Size of the crop (X) 16 15 11 27 39 22 20

Percentage of worms (Y) 24 25 34 40 35 20 23

OR

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Page 12

m
m .co
m .co s e m
se g l a
a
11 9069

(b) Number of deaths recorded in various age groups in two areas and the population size

in each age group are given in the following table.

Area-I Area-II
Age Group (in years)
Population No. of Deaths Population No. of Deaths

0-10 3000 55 7500 300

m
10-25

m 4500 30 6000 50

.co
25-45
.co 6000 40 8000 40

s e m
s em45 and over 1000 15 2000 64

l a
g la
Find the crude death rates and age specific death rates of Area I and Area II.
ag
37. (A)
a ©õnÂPÒ öPõsh J¸ SÊÂÀ |hzu¨£mh Kº B´ÂÀ
500 60%

¦zv\õ¼¯õÚÁºPÒ. AÁºPÎÀ ©õnÂPÎß u¢øu¯º £i¨£ÔÄ 40%

CÀ»õuÁºPÒ. ¦zv\õ¼°À»õu ©õnÂPÎÀ u¢øu¯ºPÒ £izuÁºPÒ. 30%

CzuµÂ¼¸¢x u¢øu¯›ß PÀ ©ØÖ® ©õn¯›ß ¦zv\õ¼zuÚ®
BQ¯ £s¦PÒ \õº£ØÓøÁ GßÓ P¸x÷PõøÍ ÷\õvUP.
AÀ»x
m
.co
(B) B® Bsøh Ai¨£øh¯õPU öPõsk »õ줯ºì
2010 £õ] ©ØÖ® (1) (2)

em
¤å›ß Âʪ¯ SÔ±mk GsPøÍU PõsP.
(3)

2010 s
laÂø» 2011

ö£õ¸mPÒ
Âø» (` )
a
AÍÄg (` ) AÍÄ
A 15 15 22 12

B 20 5 27 4

C 4 10 7 5

(a) A survey was conducted with 500 female students of which 60% were intelligent, 40%

had uneducated fathers, while 30% of the not intelligent female students had educated

fathers. Test the hypothesis that the education of fathers and intelligence of female

students are independent.
m
m OR
.co
m .co(b) Construct the price indices from the following data by applying (1) Laspeyre's method

s e m
s e
(2) Paasche's method and (3) Fisher ideal number by taking 2010 as the base year.

g l a
g la Commodity
2010 2011
a
a A
Price (` )

15
Quantity

15
Price (` )

22
Quantity

12

B 20 5 27 4

C 4 10 7 5

[ v¸¨¦P / Turn over

m .
.co s e m
s em l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 11 of 12

Page 13

9069 12

38. (A) ¤ßÁ¸® uµÄPÐUS, 줯º©õß uµ JmkÓÄU öPÊ PõsP.

¦Òΰ¯À ©v¨ö£s 82 70 95 60 55

ö£õ¸Íõuõµ® ©v¨ö£s 65 72 45 33 84

AÀ»x
(B) •uÀ
2010-11 Áøµ°»õÚ C¢v¯õÂß ÷Põxø© EØ£zv ÂÁµ® R÷Ç
2019-20

öPõkUP¨£mkÒÍx. Á¸h |P¸® \µõ\›ø¯¨ £¯ß£kzv ÷£õUS
3

©v¨¦PÒ Põs.

Á¸h® 2010-11 2011-12 2012-13 2013-14 2014-15 2015-16 2016-17 2017-18 2018-19 2019-20

ÂøÍa\À
Q.Q/ 626 734 535 727 652 715 756 860 909 798

öíU÷hº)
(a) Calculate the Spearman's rank correlation coefficient for the following data.

Marks in Statistics 82 70 95 60 55

Marks in Economics 65 72 45 33 84

OR

(b) Following data gives the yield of wheat in India for the years 2010-11 to 2019-20. Find

the trend values using 3-year moving averages.

Year 2010-11 2011-12 2012-13 2013-14 2014-15 2015-16 2016-17 2017-18 2018-19 2019-20

Yield

(kg/ 626 734 535 727 652 715 756 860 909 798

hectare)

- o O o -

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Document Details

Board / OrgTamil Nadu Board
ExamClass 12
TypeQuestion Paper
Pages13
Languageenglish
Updated24 Sep 2026