Kerala Plus One Question Paper 2024 Statistics

Kerala Board

Question Paper
2024

Reg. No. : ......................................
FY-432 Name : ...........................................

FIRST YEAR HIGHER SECONDARY EXAMINATION, MARCH – 2024

Part – III Time : 2 Hours
STATISTICS Cool-off time : 15 Minutes
Maximum : 60 Scores

General Instructions to Candidates :
 There is a ‘Cool-off time’ of 15 minutes in addition to the writing time.
 Use the ‘Cool-off time’ to get familiar with questions and to plan your answers.
 Read questions carefully before answering.
 Read the instructions carefully.
 Calculations, figures and graphs should be shown in the answer sheet itself.
 Malayalam version of the questions is also provided.
 Give equations wherever necessary.
 Electronic devices except non-programmable calculators are not allowed in the
Examination Hall.

  :
    15  ‘  ’ .
 ‘  ’    
 .
      .
    .
  , , ,   
.
   .
    .
     
    .

FY-432 1 P.T.O.

Answer any 10 questions from 1 to 11. Each carries 1 score. (10  1 = 10)

1. The amount of time required to complete a project is _____ type of data.

(a) discrete (b) continuous

(c) nominal (d) qualitative

2. Suppose we have a data regarding the number of dengue fever cases reported in

different districts of Kerala in a particular month. The type of classification for this data

is _______.

(a) Manifold classification (b) Qualitative classification

(c) Chronological classification (d) Geographical classification

3. The sum of deviations of items in a data from their Arithmetic Mean (AM) is always

_______.

(a) 1 (b) 0

(c) –1 (d) 

4. Geometric Mean (GM) of 2 and 8 is

(a) 2 (b) 8

(c) 4 (d) 10

5. The central tendency which is to be most likely affected by extreme values.

(a) Mean (b) Median

(c) Mode (d) Quartiles

FY-432 2

1  11    10  .

1  . (10  1 = 10)

1.     ___________  .

(a)  (b) 

(c)  (d) 

2.       

  ___________   .

(a)   (b)  

(c)   (d)  

3.      

_______ .

(a) 1 (b) 0

(c) –1 (d) 

4. 2   8     (GM)

(a) 2 (b) 8

(c) 4 (d) 10

5.       ?

(a)  (b) 

(c)  (d) 

FY-432 3 P.T.O.

6. If the highest value of a set of data is 70 and its range is 50, then the lowest value is

_______.

(a) 120 (b) 20

(c) 50 (d) 70

7. Half of the difference between third quartile and first quartile is called _______.

(a) Quartile Deviation (b) Standard Deviation

(c) Mean Deviation (d) Range

8. If all the values are same, then the value of standard deviation is _______.

(a) 1 (b) –1

(c) Same value (d) 0

9. If the two events A and B are mutually exclusive. If P(A) = 0.4 and P(B) = 0.2,

then P(A or B)

(a) 0.4 (b) 0.6

(c) 0.2 (d) 0

10. Probability of occurrence of an impossible event is _______.

(a) 0 (b) –1

(c)  (d) 1

FY-432 4

6.      70  50   

___________.

(a) 120 (b) 20

(c) 50 (d) 70

7.      

 _______ .

(a)   (b)  

(c)   (d) 

8.        ________.

(a) 1 (b) –1

(c)  (d) 0

9. A, B     . P(A) = 0.4  P(B) = 0.2 

 P(A or B)  ?

(a) 0.4 (b) 0.6

(c) 0.2 (d) 0

10.     _______ .

(a) 0 (b) –1

(c)  (d) 1

FY-432 5 P.T.O.

11. If the population contains 4 values then the possible number of samples of size 2 using
simple random sampling without replacement (SRSWOR) is _______.

(a) 4 (b) 6

(c) 2 (d) 16

Answer any 6 questions from 12 to 19. Each carries 3 scores. (6  3 = 18)

12. Write a short note on NSSO.

13. Prepare a questionnaire for collecting information from individuals who had recovered
from Nipah virus.

14. Compare Primary and Secondary data.

15. The following data is about different age groups of people in a certain locality of a
village :

Age group 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70

Number of people 5 4 3 4 6 2 6

Draw Histogram.

16. Draw a blank table to represent the details of students in a plus one class, having the
following criteria :

(i) Gender – Boy, Girl, Transgender

(ii) Second Language – Malayalam, Hindi

(iii) Mode of Transport – Bus, Own Vehicle, Auto-rickshaw

FY-432 6

11.        (SRSWOR)
  2     .

(a) 4 (b) 6

(c) 2 (d) 16

12  19    6  .

3  . (6  3 = 18)

12. NSSO      .

13.      
 .

14.      .

15.        
     :

Age group 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70

Number of people 5 4 3 4 6 2 6

 .

16.        
   .

(i)  – , , 

(ii)   – , 

(iii)     – , 

, 

FY-432 7 P.T.O.

17. Thirty students participated in a quiz programme conducted by KSEB and their scores

are as given below :

20 10 22 5 11 12 20 18 15 14

16 17 2 12 8 6 13 16 19 14

14 7 13 15 17 10 9 10 13 21

Prepare a frequency table.

18. A passenger travelled from A to B on his car at a speed of 40 km/hr and then from B to

C at a speed of 50 km/hr by considering the distances between A to B and B to C are

equal. Find the average speed of the entire journey.

19. The first four central moments of a distribution are 0, 9, –3 and 22. Calculate

coefficient of Kurtosis and comment on it.

Answer any 5 questions from 20 to 25. Each carries 4 scores. (5  4 = 20)

20. Number and Mean wages of employees working in two shifts in a company are as

given below. Obtain the mean wage of all employees in the company.

No. of employees Average

Morning Shift 200 12,000

Night Shift 100 9,000

FY-432 8

17. KSEB     30  

  :

20 10 22 5 11 12 20 18 15 14

16 17 2 12 8 6 13 16 19 14

14 7 13 15 17 10 9 10 13 21

  .

18.   A   B  40 km/hr.  B   C
 50 km/hr.     . 
    . (A  B  
B  C   )

19.       0, 9, –3, 22
.     .

20  25    5  .

4  . (5  4 = 20)

20.        
   .   
 .

  

  200 12,000

  100 9,000

FY-432 9 P.T.O.

21. The mean and standard deviation of temperature of two cities A and B in a winter

season are given in the following table. Which city is more consistent in temperature

levels ?

Mean Standard Deviation (SD)

City A 22 2.8

City B 18 2.4

22. Marks in Statistics of students in two classes are as given below :

Class I Class II

Mode 40 30

Mean 42 35

Standard Deviation 5 4

Which Class is more skewed ?

23. (i) If P(A) = 0.3, P(B) = 0.2 and P(A  B) = 0.1, then find P(A or B).
(ii) Details of students in 3 streams of a higher secondary school are as given below.
If a student is selected at random, what is the probability that the selected student
is from Commerce Stream ?

Stream Number of students

Science 125

Commerce 60

Humanities 65

Total 250

FY-432 10

21. A, B      
   .   
   ?

   (SD)

 A 22 2.8

 B 18 2.4

22.      
 :
 I  II
 40 30
 42 35
  5 4

     ?

23. (i) P(A) = 0.3  P(B) = 0.2  P(A  B) = 0.1   P(A or B)
.
(ii)    3    
.    
    
 ?
  
 125
 60
 65
 250

FY-432 11 P.T.O.

24. (i) In a survey on newspaper reading habits among college students, 60% read
Malayalam newspaper, 40% read English newspaper and 20% read both. A
student is chosen at random. Find the probability that selected student reads
English newspaper if we knew that she/he reads Malayalam newspaper ?
(ii) If A and B are independent events, which of the following is true ?
(a) P(A  B) = P(A) × P(B)
(b) P(A  B) = P(A) + P(B)
(c) P(A  B) = P(A)
(d) P(A  B) = P(B)

25. Explain briefly about simple random sampling and stratified random sampling.

Answer any 2 questions from 26 to 28. Each carries 6 scores : (2  6 = 12)

26. The frequency distribution of the height of 50 students of a particular class in a school

is given below. Draw two ogives and locate median from graph.

Height (in inches) 50 – 55 55 – 60 60 – 65 65 – 70 70 – 75 75 – 80

No. of Students 4 8 9 20 7 2

27. (i) Rainfall (in mm) recorded on a particular day in various places of Kerala is given

below :

1.8, 5, 4.8, 1, 5.8, 2.6, 3.6, 8.3, 2.4, 8.1

Find Arithmetic Mean (AM).

(ii) Calculate mode of the following frequency distribution :

Age 20 – 25 25 – 30 30 – 35 35 – 40 40 – 45 45 – 50

Frequency 20 24 32 28 20 26

FY-432 12

24. (i)        60%
   40%    20%  
  .   
.      
     
 ?
(ii) A  B       
  ?
(a) P(A  B) = P(A) × P(B)
(b) P(A  B) = P(A) + P(B)
(c) P(A  B) = P(A)
(d) P(A  B) = P(B)

25.     
 .

26  28   2  . 6 
. (2  6 = 12)
26.     50     .
      .
 50 – 55 55 – 60 60 – 65 65 – 70 70 – 75 75 – 80
  4 8 9 20 7 2

27. (i)        (m.m.)
   :
1.8, 5, 4.8, 1, 5.8, 2.6, 3.6, 8.3, 2.4, 8.1
 
(ii)      .
 20 – 25 25 – 30 30 – 35 35 – 40 40 – 45 45 – 50
 20 24 32 28 20 26

FY-432 13 P.T.O.

28. A Survey is conducted to determine the variation in the age of persons who suffer from
diabetics in a certain locality. The results are listed below :

Age 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70 70 – 80

No. of Persons 1 10 30 50 42 30 7

Find Standard Deviation and Variance for this Frequency Distribution.

______________

FY-432 14

28.       
      
.

 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70 70 – 80

  1 10 30 50 42 30 7

     .

______________

FY-432 15 P.T.O.

FY-432 16

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