Inter (Part-I) Faisalabad Board 2016
Statistics
Part I (Objective Type)
Time Allowed: 20 Minutes 
Max. Marks: 17

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.

Question #1 
Circle the correct option i.e. A/B/C/D. Each part carries one mark.

• Sum of random errors is equal to:

(a) One           
(b) Two          
(c) Zero          
(d) Three

• The mid-point of the group (5.5 - 7.5) is:

(a) 6    
(b) 7.5
(c) 7    
(d) 6.5

• The number of observations falling in a class is called:

(a) Class mark                 
(b) Class frequency
(c) Cumulative frequency
(d) Class interval

• If X = 2, 4, 0, 8, 10, then G.M. is:

(a) 4    
(b) 8   
(c) 0    
(d) 10

• Median is denoted by:

(a)    
(b)                
(c)    
(d) Xm

• Standard deviation of 2, 2, 2, 2, 2 is:

(a) 2    
(b) 8   
(c) 4    
(d) 0

• The variance of a constant is:

(a) 0                   
(b) 1
(c) Constant       
(d) Positive

• The lack of symmetry is known as:

(a) Kutosis      
(b) Moments
(c)  Skewness  
(d) None of these

• Link relatives = x 100 :

(a) Po               
(b) Pn-1          
(c) Pn-2             
(d) Pon

• An index number calculated for more than one item is called:

(a) Simple           
(b) Composite
(c) Price relative
(d) None of these

• If two coins are tossed, the probability of two tails is equal to:

 (a)     
(b)      
(c) 1       
(d)

• The probability of an ace card form 52 playing cards is:

(a)   
(b)       
(c)
(d)

• If 1(x)= 710 and -r = 10 , then E(x) is:

(a) 0    
(b)      
(c) -1    
(d) 1

• The probability density function f (x) cannote exceed from:

(a) 0    
(b) 1        
(c) Mean          
(d) None of these

• In a binomial distribution the range of "x" is:

(a) 0 to     
(b) 1 to n
(c) 0 to n         
(d) None of these

• The number of trails in binomial distribution are:

(a) Not fixed    
(b) Fixed       
(c) Large          
(d) Small

• The hyper geometric probability distribution has parameters:

(a) 2                  
(b) 4 
(c) 3                  
(d) None of these

Inter (Part-I) Faisalabad Board 2016
Statistics
Part I (Subjective)
Time Allowed: 2.10 Hours 
Max. Marks: 83 

Section I

2. Write short answers of any Eight Parts.                                                 16

• What is a statistical table?
•  Define grouped data.
• Define an average.     
• Define weighted mean.
• State the properties of A.M.
• Calculate G.M  for 0, 2, 4, 6 and 10.
• Define quartiles and deciles.
• Define an index number.
• Define simple and composite index numbers.
• What are different types of index numbers?
• What is a base period?           
• Define simple price relative.

3.         Write short answers of any Eight Parts.                                        16

• Define frequency distribution.
• What is histogram?    
• Define the term dispersion.
• Differentiate between absolute and relative dispersion.
• Define quartile deviation and coefficient of quartile deviation.
• Write down properties of variance.
• When a distribution is symmetrical?
• Variance of a symmetrical distribution is 25. Find first four moments about mean.
• How many permutations can be formed from the word STATISTICS?
• Define independent and dependent events.
• Define probability.
• What is sample space when a coin and a die are tossed together?

 4.        Write short answers of any Six Parts.                                            12

• Define discrete random variable.
• What is meant by probability distribution?
• Write down properties of probability density function.
• What are the expectation and standard deviation of a constant?
• A die is rolled if x = upper face value then find E(x).
• Define binomial probability distribution.
• Write down two properties of binomial experiment.
• Define hyper geometric experiment.
• Given N = 10, n = 4 and k = 3, find P (x = 1).

SECTION-II: Attempt any THREE questions. Each question quarries 8 marks:

Question #5
(a) Consider the following data and calculate the harmonic mean:

b) Find the A.M. from the following data:

U=	-2	-1	0	1	2	3
f	5	8	15	20	12	4

Question #6
(a) The first three moments of a distribution about the value 2 of  a variable are 1, 16 and -40. Show that the mean is 3, variance is 15 and m3= –86
(b)In a certain distribution the following results were obtained: mean = 45, median = 48, coefficient of skewness = -0.4. Find the value of S.D.

Question #7
(a) Find the index numbers of prices for the following data talking 1953 as base:

(b)        If two dice are rolled once. What is the sum is probability that (i) 8 (ii) the sum is 7 or 11.

Question #8
(a) A continuous random variable (x) has p.d.f.
f (x) = cx         for       0< x<  2= 0       elsewhere
(i) determine value of c           (ii) find P(1< x <1.5) .
(b) In 900 trials of a throw of two dice. What is expected number of times that sum will be less than 5.

Question #9
(a) If n = 4 and P = ;  find complete binomial probability distribution.
(b) A committe of size 3 is selected from 4 men and 2 women by without replacement. Find the probability distribution of women on the committee.