Inter (Part-II) Sargodha Board 2014
Statistics
Part II (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.

• Statistics must he

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

• The average of lower and upper class limits is called

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

• If =10 and y = 2x+5,then  =

(A) 20
(B) 25
(C) 30
(D) None of these                                                                                    

• Mean of a constant is

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

• Geometric Mean of the number 0,1,2,5,9 is

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

• Departure from symmetry is called

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

• 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

• Composite index number involves commodities

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

• Which index number has a wide scope

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

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

(A)                  
(B)                    
(C)         
(D) None of these

• The range of probability is between

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

• When a pair of dice is rolled, the sum of upper most dots vary from

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

• If "C" is any constant then

(A) E(C)=1
(B) E(C)=C
(C) E(C)=5
(D) None of these,

• Binomial distribution, is a probability distribution of

(A) Discrete type
(B) Continuous type
(C) Of both types
(D) None of these

• Hyper geometric distribution has parameters.

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

• The binomial distribution is positively skewed when

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

Inter (Part-II) Sargodha Board 2014
Statistics
Part II(Subjective)
Time Allowed: 2.10 Hours 
Max. Marks: 83 

Section I

Q.2. Attempt any eight parts.

• Differentiate between continuous and discrete variable,
• Write down the names of sources of primary data.
• Define average. Why averages are called measures of central tendency?
• Write down two mathematical properties of arithmetic mean,
• The sum of 10 numbers is 8. If an eleventh number is added, the mean becomes 9. What is the 11th number?
• What is the median letter of the word "FREQUENCY"?
• If L=100, fm=25, f1 = 20, f2 =10 and h=5, find Mode,
• Define link relative.
• Write down two uses of index numbers
• Given the following information nq° =4220,∑p°q° = 3520 ∑pnqn = 4810, ∑p°qn 4020 calculate the current year weighted price index number
• Given W =10,15,20,25 and I= x100 =100, 105, 108,110, Find the consumer price index number
• Differentiate between Laspeyre's Index number and Paasche`s index number

Q.3. Attempt any eight parts.  

• Define grouped data,
• What is diagram.       
• Define absolute dispersion,
• Give names of any four methods for calculation dispersion,
• Compute range of the data -1, -3, -4 and -20
• If lower quartile is 20 and Quartile deviation is 30. Find upper quartile
• If co-efficient of Skewness is zero, then what will you say about mean, median and mode?
• If S.D of the values of variable X is 10, then what is the S.D of values of 5X
• What is Venn Diagram,
• State the multiplicative law of probability for independent events,
• If A and B are independent events with P(A) =0.2 and P(B)=0.6 find P(AB)
• Give two examples of mutually exclusive events.

Q.4. Attempt any six parts.    

• Define continuous random variable
• Give any two examples of discrete landau variable.
• Two coins are tossed if X =number of heads then make a probability distribution of X
• What are the expectation and standard deviation of a constant,
• A die is rolled if X= face value. Find E(X)
• For continuous variable X  (x) dx =?
• Write down the mean and variance of binomial distribution.
• If X is a hyper geometric random variable with N=40, n=5, K=4 find value of varince
• Write down any two properties of hyper geometric probability distribution.

Section-II

Note: Attempt any three questions.    (8 x 3 = 14)

Question #5
(a) Calculate the geometric mean for the following data

(b) Find Q1 and Q3 from the following data

Question #6
(a) If n1=10 1 25.2 and S1 3.72 , n2= 15, 2 25.2 and S2 4.05 Find combined Coefficient of variation of 25 values
(b) What can you say about Skewness in each of thefollowing cases
(i) Median 26.01, Q1 =.13, 73,     Q3=28.29
(ii)1st three moments about 16 are 0.35, 2.9 and 1.93

Question #7
(a) Given the following information
1q° =4220,∑p2q° =5460, ∑p°q₁ =4020 ∑p°q₂ = 4462, ∑p°q° =3520, ∑p₁q₁ =4810, ∑p₂q₂ =6896Computer Paasehe's Index numbers
(b) If A and B are two mutually exclusive events from a sample space, the is it possible that P(A) = 0.7 and P(B) = 0.6?

Question #8
(a) Find Coefficient of variation from the following probability distribution

(b) A continuous random variable x has a density function f(x)= for x=2 to x=4 Find      (i) P (x < 3.5)            (ii) P(2.4  x  3.5)

Question #9
(a) If "X" is binomial random variable with n=10 and P=0.6, then find its Mean, Standard Deviation E(2X+3) (2+3X)
(b) An urn contain 5 balls, two of them are red and 3 blue. Three balls are drawn without replacement. Find the Mean and Variance of the distribution of Red Balls,

Attempt any three Parts Section-III ( Practical Part )

(a) Find Arithmatic mean from the given data

(b) Calculate quartile deviation from the following

 
(c) Given the following data

Computer Paasche’s price index number taking 1980 as base year

(d) The probability distribution of random variable x is

Find var (x)

(e) A bag contains 8 green and 4 red balls three balls are selected at random with out replacement computer the probability distribution of Green balls.