TN 11th Question Paper 2026 Statistics

FOR TN 11TH EXAM PREPARATION

TN 11th 2026
Question Paper ·
Statistics
EXAM YEAR TYPE SUBJECT

TN 11th 2026 Question Paper Statistics

Notes · Sample Papers · Previous Year Papers · Mock Tests

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No. of Printed Pages : 11
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!9169IstYearStatistics! £vÄ Gs
Register Number

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PART - III

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( / Tamil & English Version )
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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®
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Instructions : (1)
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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 & I / PART – I

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

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Note : (i) Answer all the questions.

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

the option code and the corresponding answer.

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1. {Ózøu¨ ö£õÖzx ÁøP°hU Ti¯ uµÄ Gߣx :

(A) CøhöÁÎ AÍÄ (B) ö£¯µÍÄ
(C) ÂQu AÍÄ (D) Á›ø\¨£kzuUTi¯ AÍÄ
The data that can be classified according to colour is :

(a) Interval Scale (b) Nominal Scale

(c) Ratio Scale (d) Ordinal Scale

2. RÌUPshÁØÖÒ G¢u •øÓ {PÌuPÄ \õº¢u ©õv›U Po¨¦ •øÓ ?

(A) •øÓ \õº¢u ©õv›U Po¨¦ •øÓ
(B) JxURmk ©õv› Po¨¦ •øÓ
(C) HxÁõÚ ©õv›U Po¨¦ •øÓ
(D) £Û¨£¢x ©õv›U Po¨¦ •øÓ
Which one of the method is Probability Sampling ?

(a) Systematic Sampling

(b) Quota Sampling

(c) Convenience Sampling

(d) Snowball Sampling

3. B´Áõͺ J¸ {ÖÁÚzvß uµÂøÚ¨ £¯ß£kzxQÓõº GÛÀ, AzuµÁõÚx :
(A) Cµshõ® {ø» uµÄ (B) Gs AÍ»õÚ uµÄ
(C) •uÀ {ø» uµÄ (D) £s£Í»õÚ uµÄ
When the researcher uses the data of an agency, then the data is called :

(a) Secondary data (b) Quantitative data

(c) Primary data (d) Qualitative data

4. ö\¨£Ûh¨£hõ uµÄPÒ Gߣx :

(A) £SUP¨£mh uµÄPÒ
(B) •uÀ {ø»z uµÄPÒ
(C) AmhÁøn¨£kzu¨£mh uµÄPÒ
(D) Cµshõ® {ø»z uµÄPÒ
Raw data means :

(a) Well classified data

(b) Primary data

(c) Tabulated data

(d) Secondary data

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

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5. £» A[P£møh ÂÍUP¨£hzvÀ £møhPÒ __________ C¸UQßÓÚ .

(A) TÖPÍõPÄ® Akzukzx®
(B) TÖPÍõP
(C) TÖPÍõPÄ®, \©©õPÄ®
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(D) Akzukzx
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The bars are __________ in multiple bar diagram.

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(a) Placed adjacently and Sub-divided

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(b)

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Sub-divided

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(c) Sub-divided and equal

(d)
a
Placed adjacently

6. C¸¢x {PÌöÁs ÁøÍ÷Põk ö©ßø©¯õP Áøµ¯¨£k® J¸
__________

ÁøÍÁøµ¯õS®.
(A) Ámh ÂÍUP¨£hzvÀ (B) E¸Á ÂÍUP¨£hzvÀ
(C) £µÁÀ ö\ÆÁP¨£hzvÀ (D) ö£›m÷hõ Áøµ£hzvÀ
Frequency curve is a smooth curve drawn from the __________.

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(a) Pie Diagram (b) Pictogram

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(c) Histogram (d) Pareto Diagram

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7.

(A) PõÀ©õÚ[PÒ
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RÌPshÁØÔÀ ø©¯¨ ÷£õUS AÍøÁ
a (B) Cøh{ø»
?

(C) ¡ØÖ©õÚ[PÒ (D) £vß©õÚ[PÒ
Which of the following is a measure of Central value ?

(a) Quartiles (b) Median

(c) Percentiles (d) Deciles

uµÄz öuõSv \©a^µõ°ß A¢u ÁøÍÁøµ°ß Ea] ¦ÒÎ
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8. :

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(A) Cøh{ø» (B) \µõ\›

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When a distribution is symmetrical, the highest point on the curve is called the :

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(a) Median (b) Mean

ag (c) Mode (d) All of the above

9. ©õÖ£õk 16 GÛÀ, vmh»UPzvß ©v¨¦ :

(A) 6 (B) 2(C) 8 (D) 4

If variance is 16, then value of the Standard Deviation will be :

(a) 6 (b) 2 (c) 8 (d) 4

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10. 50C
50
&ß ©v¨¦ =

(A) 1 (B) 50 (C) 0 (D) 25

The value of 50C is equal to :
50

(a) 1 (b) 50 (c) 0 (d) 25

11. x Cß ÁøPUöPÊ
10
:

(A) 9x(B)9
x
8
(C) 9x
10
(D) 10x
9

10
Derivative of x is :

9 8 10 9
(a) 9x (b) x (c) 9x (d) 10x

12. J¸ £Pøh Ã_®÷£õx 3 QøhUPõ©À C¸UP {PÌuPÄ :
1 1 1 5
(A) 6
(B) 3
(C) 4
(D) 6

Probability of not getting 3 when a die is thrown is :

1 1 1 5
(a) (b) (c) (d)
6 3 4 6

13. {PÌuPÄ ÷Põm£õmk AqS•øÓø¯ E¸ÁõUQ¯Áº __________.

(A) PõÀmhß (B) ÷PõÀ÷©õ ÷PõµÆ A.N.

(C) ÂÀ¼¯® ¤÷ÍL÷£º (D) ¤öÍ´] £õìPÀ
Axiomatic approach to Probability was proposed by __________.

(a) Galton (b) A.N. Kolmogorov

(c) William Playfair (d) Blaise Pascal


3
 Ax , 0 <x<1
14. f (x) =  Kº {PÌuPÄ Ahºzv \õº¦ GÛÀ, A Cß ©v¨¦ :



0, ©ØÓ£i
(A) 5 (B) 4 (C) 2 (D) 3


3
 Ax ,0 <x<1
f (x) =  is a Probability Density Function, then the value of A is :



0, otherwise

(a) 5 (b) 4 (c) 2 (d) 3

15. ÁÇUP©õÚ SÔ±kPÎߣi, J¸ ö£ºöÚͼ £µÁ¼ß \µõ\› ©ØÖ® ©õÖ£õk :

(A) (B)
np, npq (C) λ (D) p, pq p, pq

The mean and variance of a Bernoulli Distribution with usual notations are :

(a) np, npq (b) p, pq (c) λ (d) p, pq

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

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

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16.

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What is Data ?

17.
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ÂÚõzaöuõS¨¦ £mi¯À Gߣx GßÚ ?
What is a Schedule ?

18. C¸©õÔ AmhÁøn GßÓõÀ GßÚ ?
What is bi-variate table ?

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19. Áøµ£h[PÎß öÁÆ÷ÁÖ ÁøPPøÍ GÊxP.

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List various types of graphs.

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ø©¯ ÷£õUS AÍøÁPÒ GßÓõÀglGßÚ ?
20.
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What is meant by measure of Central Tendency ?

21. öPõkUP¨£mh ÂÁµ[PÐUS β
1
©v¨¦ PõsP. µ =0, µ =2, µ =4
1 2 3

Find β for the following data µ =0, µ =2, µ =4
1 1 2 3

J¸Áß PõÀ \møhPЮ ÷©À \møhPЮ øÁzv¸UQÓõß. AÁß AÁØøÓ
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22. 6 10

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GzuøÚ ÁÈPÎÀ Ao¢x öPõÒÍ •i²® ?
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a Define Independent events.

1 1
24. Áõ´¨¦ ©õÔ X CÀ E(X) =
2
, E(X ) =
2
2
GÛÀ, vmh »UP® PõsP.
1 2 1
A random variable X has E(X) = , E(X ) = find its Standard Deviation.
2 2

[ v¸¨¦P / Turn over

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£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. £s¦ \õº¢u ©ØÖ® Gs \õº¢u ©õÔPøͨ £ØÔ }ú AÔÁÚ ¯õøÁ ?
What do you understand by Qualitative Variable and Quantitative Variable ?

26. Cµshõ® {ø» uµøÁ¨ £¯ß£kzx® •ß PÁÛUP ÷Ási¯øÁ GßÚ Gߣøu
£mi¯¼kP.
List out the precautions to be taken while using the Secondary data.

27. AmhÁøn°ß £¯ßPÒ ¯õøÁ ?
What are the advantages of tables ?

28. Ámh ÂÍUP¨£h® ÁøµÁuØPõÚ ÁÈ•øÓPøÍ GÊxP.
Write down the methods of constructing Pie diagram.

29. vmh »UP® σ = 4 ©ØÖ® \µõ\› x = 8 GÛÀ, ©õÖ£õmkU öPÊ Põs.
If the Standard Deviation σ is 4 and the Mean x is 8 then find the Coefficient of Variation.

30. J¸ ø£°À }» {Ó £¢xPЮ, ]Á¨¦ {Ó £¢xPЮ EÒÍÚ. Av¼¸¢x
7 5

3}»® ©ØÖ® ]Á¨¦ {Ó £¢xPøÍ ÷uº¢öuk¨£uØPõÚ •øÓPøÍU
2

Psk¤iUPÄ® .

A bag contains 7 blue balls and 5 red balls. Determine the number of ways in which 3 blue

and 2 red balls can be selected.

31. P(A)=0.35, P(B)=0.73 ©ØÖ® ( P A ∩ B ) =0.14 GÛÀ, P ( A ∪ B ) PõsP.

Given that P(A)=0.35, P(B)=0.73 and P A( ∩ B) =0.14, find P ( ∪ )
A B .

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

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32. Kº D¸Ö¨¦¨ £µÁ¼ß \µõ\› 5 ©ØÖ® ©õÖ£õk 9 GßÓ TØøÓ¨ £ØÔU P¸zx
TÖP .

Comment on the following. The Mean of Binomial Distribution is 5 and its Variance is 9.

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33. J¸ ©õnÁÛß £õh[PÎß ©v¨ö£s ÂÁµ®
5 45, 35, 55, 25, 15 GÛÀ, Auß
Tmk \µõ\› PõsP.
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A student’s marks in 5 subjects are 45, 35, 55, 25, 15. Find the average of his marks.

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£Sv & IV / PART – IV

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

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Note : Answer all the questions.

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34.
g la £ØÔ J¸ SÔ¨¦ ÁøµP
(A) ¦Òΰ¯¼ß ÷uõØÓ•®, Áͺa]²® .

a
AÀ»x

(B) J¸ ÂÚõzuõÎÀ A ¤›ÂÀ ÂÚõUPЮ, ¤›ÂÀ ÂÚõUPЮ EÒÍÚ.
5 B 7

J¸ ©õnÁß C¸ ¤›ÄPξ® SøÓ¢u£m\® ÂÚõUPøÍz öu›Ä ö\´x 3

ö©õzu® 8 ÂÚõUPÐUS Âøh uµ÷Áskö©ÛÀ GzuøÚ ÁÈPÎÀ
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s e (a) Write a note on the origin and growth of Statistics.

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a OR

(b) A question paper contains Section A with 5 questions and Section B with 7 questions.

A student is required to attempt 8 questions in all, selecting at least 3 from each Section.

In how many ways can a student select the questions ?

[ v¸¨¦P / Turn over

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35. (A) ©õv›U Po¨¦ \õµõ ¤øÇPøÍ ÂÁ›zx GÊxP.

AÀ»x

(B) Pmh ÂìPº £hzvøÚU RÌUPsh ÂÁµzvØS Áøµ¯Ä®.

98, 153, 169, 187, 202, 222, 248, 271, 240, 254, 299, 107, 125, 180, 202

(a) Write an essay about non-Sampling errors.

OR

(b) For the following data

98, 153, 169, 187, 202, 222, 248, 271, 240, 254, 299, 107, 125, 180, 202

construct a Box-Whisker plot.

36. (A) RÌPsh usk Cø»¨ £v¼¸¢x \µõ\›, Cøh{ø»¯ÍÄ, •Pk, Ãa_
BQ¯ÁØøÓU PõsP.

usk (•ß C»UP[PÒ) Cø»PÒ (¤ß C»UP[PÒ)
0 2

1 3 4

2 0 3 5

3 1 2 2 2 2 3 6

4 3 4 4 5

5 1 2 7

AÀ»x
(B) J¸ Áõ´¨¦ ©õÔ X ¤ßÁ¸® {PÌuPÄ vsø©a \õºø£ ö£ØÔ¸UQÓx.
X 0 1 2 3 4 5 6

P(X=x ) a 3a 5a 7a 9a 11a 13a

(i) ‘a’ Cß ©v¨¦ Põs
(ii) X SÂÄ £µÁÀ \õº¦ F(x) PõsP .

(iii) ¤ßÁ¸ÁÚÁØøÓU PõsP.
(a) P(X/4) (b) P(X<5) (c) P(3 ≤ X ≤ 6)

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

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(a) Determine the mean, median, mode and the range for the stem and leaf plot given

below :

Stem (Leading digits) Leaves (Trailing digits)

0 2

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1 3 4

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2 0 3 5

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3 1 2 2 2 2 3 6

e m 4 3 4 4 5

l as
l as 5 1 2 7

ag
ag OR

(b) A random variable X has the following Probability mass function.

X 0 1 2 3 4 5 6

P(X=x ) a 3a 5a 7a 9a 11a 13a

(i) Find the value of ‘a’

(ii) Find the c.d.f F(x) of X.

(iii) Evaluate the following.

(a) P(X/4) (b) P(X<5) (c) P(3 ≤ X ≤ 6)

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37. (A) R÷Ç öPõkUP¨£mh uµÄPÒ (¹ ¡ÔÀ)
s e
SÔ¨¤kQÓx. CuØS Ámh ÂÍUP¨£h® ÁøµP.
g la
CÚ[PÒ a
ö\»Ä
(¹ ¡ÔÀ)
EnÄ 87

Eøh 24

ö£õÊx÷£õUS 11

PÀÂ 13

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ÁõhøP 25

.co Cuµ ö\»ÄPÒ
s e m 20

s em AÀ»x
g l a
g la B J¸ ÷áõi £Pøh E¸mk® ÷£õx ÂÊ® •P[PÒ a
SÔUP¨£kQÓx.
a
( )

•P[PÎß TkuÀ J¸ JØøÓ£øh Gs
A :

B : •P[PÎß TkuÀ &I Âh AvP® 8

C : •P[PÒ ÷ÁÖ£mhøÁ GÛÀ
(i) P(A/C) PõsP. (ii) P(B/C)

[ v¸¨¦P / Turn over

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(a) Draw a Pie diagram for the following data (in hundreds) of household expenditure of

a family.

Expenditure
Items
(in hundreds)

Food 87

Clothing 24

Recreation 11

Education 13

Rent 25

Miscellaneous 20

OR

(b) A pair of dice is rolled and the faces are noted. Let

A : Sum of the faces is odd

B : Sum of the faces exceeds 8 and

C : The faces are different

then find (i) P(A/C) (ii) P(B/C)

38. (A) J¸ ÷uõmhzv» ÂøÍ¢u B¨¤ÒPÎß Gøh R÷Ç öPõkUP¨£mkÒÍx.
CzuµÂ¼¸¢x B¨¤ÒPÎß Gøh°ß Cøh{ø»¯ÍøÁ PnUQkP.

Gøh QµõªÀ 410-420 420-430 430-440 440-450 450-460 460-470 470-480

B¨¤ÒPÎß
14 20 42 54 45 18 7

GsoUøP

AÀ»x
(B) ¤øǯØÓ £zx |õn¯[PÒ J÷µ \©¯zvÀ _sh¨£kQßÓÚ. AÁØÔÀ
(i) SøÓ¢ux 7 uø»PÒ
(ii) \›¯õP 7 uø»PÒ
(iii) AvP£m\® 7 uø»PÒ
Qøh¨£uØPõÚ {PÌuPÄPøÍU PõsP.

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(a) The weights of apples grown in a garden are given below. Calculate the median

weight of apples from the given data.

Weight in grams 410-420 420-430 430-440 440-450 450-460 460-470 470-480

Number of apples 14 20 42 54 45 18 7

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Ten coins are tossed simultaneously. Find the Probability of getting

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(i) at least seven heads

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a (ii) exactly seven heads

(iii) at most seven heads

- o O o -

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[ v¸¨¦P / Turn over

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