Karnataka 1st PUC Statistics Model Paper 2024: Kannada Medium and English Medium PDF

Karnataka 1st PUC Statistics Model Paper 2024: KSEAB, DPUE has recently published Karnataka 1st PUC Statistics Model Question Paper 2024 in its official portal. In this page we have given Karnataka Class 11 Statistics Model Question Paper in PDF. The Board has also published Blue Print of I PUC on dpue-exam.karnataka.gov.in.

Contents

Karnataka 1st PUC Statistics Model Paper 2024: Kannada Medium and English Medium PDF Karnataka 1st PUC Statistics Model Question Paper 2024: Overview

Karnataka 1st PUC Statistics Model Question Paper 2024: Overview

Board – Karnataka State Board.
Class – Class 11.
Topic – Karnataka 1st PUC Model Paper.
Subject – Statistics
Year – 2023 – 24.

Section – A

I.) Choose the correct answer from the choices given:

1.) Who defined Statistics as “The science of counting”?

a) Boddington

b) A.L.Bowley

c) Horace Secrist

d) Croxton & Cowden

2.) Classification on the basis of variable is a) Chronological b) Geographical c) Qualitative d) Quantitative

3.) Geometric Mean of 4 and 9 is a) 2 b) 3 c) 6 d) 36

4.) A jar contains 24 marbles, in which some are green and others are blue. If the probability of a green marble is 2/3, then what is the number of green marbles in the jar?

a) 16

b) 8

c) 2

d) 24

5.) V(-X+2) is equal to

a) – V(X)

b) V(X)

c) 0

d) V(X)+4

II.) Fill in the blanks by choosing appropriate answer from those given in the brackets: (Event, 2, Percentiles, 100, Frequency, 3)

6.) The number of observations belongs to a class is _________

7.) The values which divides the data into 100 equal parts are ______

8.) For a mesokourtic curve the value of β2 is ______

9.) A set of outcomes of a random experiment is an _____ .

10.) The value of E(2) is ________

III.) Match the following:

A B

11.) The data collected for the first time (a) Ogives

12.) Graph used to used to find median (b) 0

13.) Average growth rate (c) Skewness

14.) Lack of symmetry (d) Geometric Mean

15.) The probability of null event (e) Primary data

(f) Investigator

IV.) Answer the following questions:

16.) Mention a need of diagrams.

17.) What is range?

18.) For a data, if the value of Q2 is 20, then what is the value of D5?

19.) Mention an assumption of Interpolation.

20.) Define a random variable.

Section – B

V.) Answer any FIVE of the following questions:

21.) State two characteristics of Statistics.

22.) Mention two stages of statistical enquiry.

23.) If n₁ = 6, n₂ = 4, X ₁= 35 and X ₂ = 85, then find combined arithmetic mean.

24.) If Q₁ = 10, Q₂ = 30 and Q₃ = 60, then find Bowley‟s coefficient of skewness.

25.) If Cov(X,Y) = 12, SD(X) = 4 and SD(Y) = 5, then find „r‟.

26.) What is the difference between coefficient of correlation and association of attributes?

27.) If P(A∪B)= 0.7, P(A) = 0.6 and P(B) = 0.5, then find P(A∩B).

28.) If E(X) = 10 and E(Y) = 5, then find E(X+Y).

Section – C

VI.) Answer any FOUR of the following questions:

29.) Write the functions of Statistics.

30.) What is a questionnaire? Mention four points to be considered while preparing it.

31.) Age of 30 persons (in years) of a locality is as follows. Prepare a frequency

distribution by using class intervals as 0-10, 10-20, . . .

23 46 08 13 29 36 28 01 28 09 33 11 20 28 33

11 20 28 10 49 30 43 39 30 21 40 33 36 29 21

32.) Draft a blank table to show the information of students:

i) Class: I PUC, II PUC.

ii) Faculty: Arts, Commerce, Science.

iii) Caste: SC/ST, Others

33.) Daily activity of a student is as follows. Draw Pie chart to this data.

Activity	School	Playing	Home Work	Meals	Sleeping	Others
Time (in hours)	6	2	3	2	8	3

34.) Find the Harmonic mean for the following data.

X	10	20	30	40	50
f	9	13	15	8	5

35.) Prepare a nine square table from the following information and calculate Yule‟s coefficient of association.

N = 900, (AB) = 400, (A) = 600, (B) = 500.

36.) Interpolate the production for 2012 from the following data.

Year	2010	2011	2012	2013	2014
Production (in tons)	3	5	–	15	23

VIII.) Answer any TWO of the following questions:

37.) Following is data regarding the marks obtained by students in an examination. Construct histogram and hence identify the value of mode through the graph.

Marks	0 – 20	20 – 40	40 – 60	60 – 80	80 – 100
No. of students	4	14	20	16	6

38.) Following is the data regarding expenditure on advertisement and sales of a marketing company

	Expenditure on Advertisement (in lakhs Rs.)	Sales (in lakhs Rs.)	r = 0.75
Mean	20	120
S.D.	5	2

Estimate the sales, if the advertisement expenditure is 30 lakhs.

39.) First bag has 5 red and 3 green marbles. Second bag has 3 red and 6 green marbles. A marble is transferred from the first bag to the second bag and then a marble is drawn from the second bag, what is the probability that it is red?

40.) Find the mathematical expectation of numbers obtained when a fair die rolled.

Section – D

VII.) Answer any TWO of the following questions:

41.) Runs scored by two cricketers X and Y in seven test series are as follows. Who is more consistent in scoring runs?

Batsman X	80	50	30	70	60	40	20
Batsman Y	30	35	40	50	25	45	55

42.) Marks obtained by 100 students in Accountancy and Statistics are as follows. Find the correlation coefficient „r‟. Interpret the result.

Marks in Accountancy	Marks in Statistics
Marks in Accountancy	0 – 20	20 – 40	40 – 60	60 – 80	80 – 100
0 – 20	10	12	–	–	–
20 – 40	–	8	7	–	–
40 – 60	–	–	18	12	–
60 – 80	–	–	–	18	7
80 – 100	–	–	–	–	8

43.) a) Husband and his wife attend an interview. The probability selecting husband is 2/3 and that of wife is 1/2. Find the probability of selecting:

44) i) both

45) ii) at least one.

46) b) Find k and mean of the following probability distribution.

X	10	20	30	40
P(X)	k	4/10	3/10	1/10

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You can download more Karnataka Board 1st PUC model question papers here – Karnataka Class 11 Model Paper

Karnataka 1st PUC Statistics Model Paper 2024: Kannada Medium and English Medium PDF