(11th CLASS 12012)
STATISTICS     
TIME: 20 MINUTES 
MARKS: 17
OBJECTIVE

NOTE: You have four choices for each- objective type question as A , B C and D , The choice which you think is correct , fill that circle in front of that question number, Use marker or pen to fill the circles. Cutting or filling two or more circles will result in zero mark in that question. Attempt  as many questions as given in objective type question paper and leave others blank. Write the letter A, B, C or D in the column (Write correct option) against each question. If there is a contradiction in the bubble and hand written answer, bubble option will be considered correct.

QUESTION NO.1

• Any characteristic that does not change is called
  

(A) Attributes
(B) Constant
(C) Not fixed
(D) Variable

• Primary data can be calculated by method
  

(A) 2               
(B) 6            
(C) 8    
(D)10   

• When the classes are 40 — 44 , 45 –49,  50-54…….. then class interval is      

(A) 4                                       
(B)                           
(C) 10   
(D) 5  

• Which average is highly affected themselves values
  

(A) Mode  
(B) Mean     
(C) Median       
(D) G.M

• The combined mean is computed by the formula
  

(A)  
(B) n1+n2 
(C)
(D) x1+x2                               

• The variance is equal to the second moment about mean is true
  

(A) Always          
(B) Oftenly               
(C) Sometimes                                
(D) Never

• The mean and Co-efficient of variation of 20 observation are 20 and 25 % then SD is
  

(A) 1.5             
(B) 20                
(C) 25        
(D) 5

• The value of variance may be
  

(A) Positive
(B) Negative
(C) Always positive     
(D) Oftenly positive

• Which Index is called an Ideal Index
  

  (A) Laspeyre's  
  (B) Fisher     
  (C) Marshall                  
  (D) Paasche's
  

• Base year weighted index number are
  

(A) Fisher       
(B) Laspeyre's    
(C) Paascheis   
(D) Marshall

• The probability of an event always lies between
  

(A) —1 and + 1         
(B) —1 and zero
(C) Zero and 1        
(D)Zero and α

• The probability of sum is odd if two dice are thrown
  

(A) 18/26            
(B) 9/36           
(C) 6/36          
(D) 12/36

• Random variable are also known is
  

(A) Chance variable           
(B) Discrete variable     
(C) continuous variable  
(D) Exactly

• Var (4x) is
  

(A) 16 Var(x)         
(B) 4 Var(x)           
(C) 8 Var(x)         
(D) 2 Var(x)

• Which of the following is true a binomial distribution
  

(A) n < p
(B) np < npq          
(C) np> npq             
(D) pp = npq

• In hypergeometric distribution successive trials are
  

(A) Independent   
(B) Dependent            
(C) Fixed       
(D) Mutually exclusive

• Number of terms of (q + p)12 is
  

(A) 11                                        
(B) 12                                       
(C) 13                                       
(D) 14

STATISTICS 
11th CLASS - 12012)
TIME 2:40 HOURS 
SUBJECTIVE  MARKS:68
SECTION-I

QUESTION NO. 2 Write short answers any Eight (8) questions of the following                      16

• What is population?
  
• What is statistic?
  
• What is Geometric mean?
  
• What do you mean by percentiles?
  
• If for 10 observation ∑(x — 23) =17 , then find the value of mean
  
• Give properties of a good average
  
• What is Mode?
  
• Define an Index Number
  
• What is meaning of fixed base method
  
• Given the following information ∑p1q0 = 916,30 ∑p0q0 = 450.10 , Find Laspeyre's index number
  
• Explain the meaning of consumer price Index Number
  
• What is weighted Index Number?

QUESTION NO. 3 Write short answers any Eight (8) questions of the following                               16

• Define Tabulation
  
• Distinguish between one-way and two-way classification
  
• Define mean deviation with formula
  
• Write down any two properties of the variance
  
• What is symmetrical distribution 7
  
• The sum of 10 items is 12 and sum of squares equal to 26.9 Then find standard deviation
  
• In a symmetrical distribution 01= 40 and 03 = 60 Find (i) Median (ii) Quartile deviation
  
• If standard deviation is 10 then find (i) Mean deviation (ii) Quartile deviation
  
• What is random experiment?
  
• Define permutation and combination
  
• Find the probability of obtaining even number when a die is rolled
  
• State the addition law of mutually exclusive events

QUESTION NO. 4 Write short answers any SIX (6) questions of the following                      12

• Define probability density function along with its properties
  
• What do you understand by Random numbers?
  
• Define Mathematical Expectations
  
• Given ∑(X2) = 400, S.D.(X) =12 then find E(X)=?
  
• Two coins are tossed, if X = number of heads, then make the probability distribution of X
  
• What do you understand by Binomial frequency distribution ?
  
• In a Binomial distribution the mean and second moment about mean are 10 and 6 respectively.
  Then find the number of trials
  
• Define the Hypergeometrie experiment
  
• Write the formulas of mean and variance of hypergeometric distribution
  

SECTION-II

Note: Attempt any Three questions from this section                                                              8x3=24
5.
(a) Show with the help of the following data that AM > GM

(b) Find out the two numbers whose A.M and G.M. are 5 and 4 respectively.

6.
(a)   Calculate Moments about Mean if first four Moment about the value 20 are - 2 , 15 , - 25 and 80

(b) Calculate co-efficient of variation for the given data U = x —10/ 5 ∑f =125 ∑fu = - 45  ∑fu2 = 306              

7.
(a) Compute Fisher index No. for the following data taking 1964 as base

(b) From a well shuffled pack of 52 cards a card is drawn at random. What is the probability that it is
(i) a card of club                          
(ii) a pictured card

8.
(a)  The probability distribution of a random variable X is given below 

Find
(i) mean of the distribution                                
(ii) Variance of the distribution

(b) A continuous random variable X assumes values between X= 2 and X=5 and has a density
function f(x) = K(1+x) where K is a constant.
Find
(i) K                       
(ii) P(3< x < 4)

9.
(a)     In a binomial distribution mean and standard deviation were found to be 40 and 5.8 respectively. Find its parameters

(b) A carton contains 5 milk packs of which 4 are fresh. If a person select 2 packs at random without
replacement , calculate the probability that he will get 
(i) 2 fresh pack                       
(ii) one fresh pack