Inter (Part-I) Faisalabad Board 2015
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.

• Composite index number involves commodities:

(A) One                         
(B) Two                   
(C) Three         
(D) More than one

• Coefficient of variation is a measure of:

(A) Relative dispersion
(B) Absolute dispersion
(C) Skewness       
(D) None of these

• Range can be calculated in open-ended classes.

(A) Never    
(B) Always
(C) Often   
(D) Seldom

• Departure from symmetry is called:

(A) Kurtosis                 
(B) Skewness
(C) Dispersion            
(D) None of these

• Geometric mean of 10, 1, 5, 0, 9 is :

(A) 2               
(B) 5              
(C) 0                
(D) Not possible

• Mean of a constant is:    

(A) Zero                     
(B) One         
(C) Constant itself        
(D) Five

• While constructing frequency distribution , the number of classes used depends on:

(A) Number of Observation
(B) Size of Class
(C) Range of Data        
(D) None of these

• The average of lower and upper class boundaries is called:

(A) Class boundary            
(B) Class frequency                   
(C) Class mark                   
(D) None of these

• Statistics must be:

(A) Comparable                           
(B) Not comparable               
(C) Qualitative only                           
(D) None of these

• Binomial distribution is positively skewed when:

(A) p>q         
(B) p<q            
(C) p=q        
(D) None of these

• Hyper geometric distribution has parameters:

(A) One                       
(B) Two         
(C) Three         
(D) None of these

• Binomial distribution is a probability distribution of:

(A) Discrete type                   
(B) Continuous type              
(C) Both of htese                   
(D) None of these

• If C is any constant then:

(A) E(C) = 1                            
(B) E(C) = C               
(C) E(C) =9                             
(D) E(C) = 5

• When a pair of dice is rolled, the sum of uppermost dots very from:

(A) 0 to 10                              
(B) 1 to 11       
(C) 2 to 19                               
(D) 2 to 12

• The range of probability is between:

(A) 0 to 2                   
(B) 0 to infinity          
(C) 0 to 1                    
(D) 1 to +1

• Two events A and B are said to be mutually exclusive if:

(A) A?B = F             
(B) A?B ? F             
(C) A?B = 0                          
(D) None of these

• Which index number has a wide scope?

(A) Special                 
(B) General    
(C) Price                       
(D) None

Inter (Part-I) Faisalabad Board 2015
Physics
Part I (Subjective)
Time Allowed: 2.10 Hours 
Max. Marks: 83 

Note: Section I is compulsory. Attempt any three (3) questions from Section II and any three (3) parts from Section-III

SECTION - I

2. Write short answers of any Eight Parts.                                                             16

• (i) Define variable.                             
• (ii) Define constant.
• (iii) Give various methods of computing arithmetic mean for grouped data.
• (iv) Write merits of mode (any two).              (v) Define deciles.
• (vi) Find mode from the given data: 4, 4, 5, 5, 6, 5, 6, 7, 7.
• (vii) Define weighted mean.
• (viii) Define weighted index number.
• (ix) Define link relatives.
• (x) Write down formula for Fisher’s price index number.
• (xi) What do you understand by consumer’s price index number.
• (xii) Given  ?p0q1 = 402 and ?p1q1 = 481, find Paasche’s price index number.

3. Write short answers of any Eight Parts.                                                             16

• What is multiple bar diagram?                  
• What are class marks?
• What is relative dispersion?
• Q1 = 20 and Q3 = 60. Find coefficient of quartile deviation.
• Range of 5 observations is -6 and smallest observation is -2, find the largest observation.
• Define mean deviation.
• Differentiate between symmetry and skewness.
• Give any two properties of variance.
• Define simple event.                               
• Define permutation.
• Define equally likely events.                  
• Define probability.

4. Write short answers of any Six Parts.                                                                 12

• Define mathematical expectation.
• If E(X) = 2.5 and E (X2) = 9.25 find var (x).
• How random numbers are generated?
• Given E(X) = 204 and C.V (x) =6 find S.D(x).
• Define distribution function.
• What is binomial distribution?
• Define hyper geometric experiment.
• In binomial distribution if n = 10 and p = 1/4 then find variance of binomial distribution.
• Write down any two properties of hyper geometric distribution.

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

Question #5
(a) Calculate G.M of the following distribution.                            04

(b) Calculate median for the following data:                                     04

Question #6
(a) Find mean deviation from mean to the following data:                        04

(b) The first four moments of a certain distribution about x = 17.5 are 0.3, 74, 45 and 12125 respectively. Find out whether the distribution is leptokurtic or platykurtic.      04

Question #7
(a) A and B can solve 70% and 80% of the problems in a book respectively. Find the chance that a problrm chosen at random will be solved by at least one of them       04
(b) Find the index numbers of price from the following data taking average price of all years as base:                             04

Question #8
(a) A continuous random variable has a density function f(x) = 2/27; 2<x<6, find (i)P(x >3.5) (ii) P(x>3.5)                                                                    04
(b) Given the following probability distribution:                               04

Find     (i) m (ii) mean and variance of the distribution.

Question #9.
(a) If in a binomial distribution the mean is 3 and standard deviation is 1.5, find its parameters.                                                                                                 04
(b) A bag contains 6 green and 4 red balls. Three are selected at random without replacement. Compute the probability distribution of green balls.                        04

SECTION-III (Practical Part)
Note: Attempt any THREE questions.
Question #10
(a)Show with the help of following data that A.M.> H.M

(b) Calculate: (i) mean deviation from mean (ii) mean deviation from median, using the following data: X: 4,7,7,7,9,9,10,12,15
(c) Compute Lespeyer’s index for 1981 using 1980 as base year from the following data.

(d) Find (i) E(x) (ii) E(x2) (iii) E[x-E(x)]2 using following probability distribution.

(e) A fair coin in tossed four times what is the probability of getting:
(i) exactly one head    (ii) at least two heads  (iii) exactly one tail