Statistics 2012
Bahawalpur board Part I
Objective type Paper I
Time allowed: 20 Minutes     
 Maximum Marks:17

Note: Write answer to the question on the objective answer sheet provided. Four possible answers A, B, c, D to each question which answer is correct, fill the relevant circle with pen ink to each question on the answer sheet provided

• Observed data organized into tabular form is called:

A. A bar chat
B. A pie chart
C. A frequency chart
D. A Frequency Distribution

• The number of occurrences of a data value is called :

A.The frequency
B.The cumulative frequency
C.The relative frequency
D.Class Mark

• Which of the following variables can be classified as quantitative:

A. Color of eyes
B. Number of computers  sold in the last month
C. Marital status of faculty
D. Brand of cars

• Sum of the squares of the deviations of the values is minimum when taken from:

A. Median
B. Mode
C. Arithmetic Mean
D. Harmonic mean

• The coefficient of variation of a certain distribution is 45% and mean is 20. The standard deviation of the distribution is :

A. 9
B. 90
C. 0.09
D. 0.45

• For a positively skewed Distribution

A Mean> Median
B. Mean<Mode
C. Mean> Mode
D. Mean=Mode

• The value that occurs most often is a data set is called:

A. Mean
B. Geometric Mean
C. Mode
D. Harmonic Mean

• Variance of five numbers is 10. If each number is divided by2. The variance of new distribution:

A. 8
B. 5
C. 20
D. 2.5

• When A and B are mutually exclusive events, then :

A. P(A=P(A).P(B) ∩
B. P(A
C. P(A
D. P(A

• Which of the following statement is true:

A. Fisher Index No. is the A.M. of Laspeyre and Paasche Index No.
B. Index No. are statistical barometer
C. In Price Relative, the given year price is divided by the base year price
D. In Chain base method the base year is fixed

• Which of the following formula is called base year weighting

A. Laspeyre’s Index Number
B. Paasche’s Index Number
C. Fisher Index Number
D. All these

• If a coin and a die are thrown the number of possible outcomes are:

A. 6
B. 8
C. 30
D. 12

• A random variable has a binominal distribution with n=4, the standard Deviation of xis:

A. 4pq
B. 4p
C. 2
D. 4(q+p)

• The parameters of the Hypergeometric Distribution are :

A. n and p
B. n,N and K
C. N and K
D. np and nq

• The expected vale of a random variables is equal to its :

A. Mean
B. Standard deviation
C. Variance
D. Co- variance

• Which of the following is not the condition for binominal Distribution:

A. Continuous
B. Discrete
C. Qualitative
D. An attribute

Subjective
Part  I 2012

Note: It is compulsory to attempt (8) parts each from question No. 2 and 3 while attempt 6 parts from Q.no.4 and attempt any (03) questions from part II. Write same questions no. and its part no. as given in the question paper.

Section-I

Q.NO.2

• What is secondary data?
• Expand the summation -u)
• What is Arithmetic Mean?
• What is Median?
• If for any Frequency distribution the Mean is 45 and Median is 30, find Mode approximately
• Given Paasche’s Index Number.
• What is deciles?
• Define Base period
• Give two uses of Index Number.
• What do you understand by cost of Living Index Number?
• What is composite Index Number?
• Describe any three qualities of a good average.

Q.No.3

• What is meant by a Frequency Distribution ?
• Explain a Histogram.
• Define Mean Deviation
• What is the Relative Dispersion ?
• If Variance of the values of x is 10, what is the variance of the values of (2x+10)?
• First Moment about the number 15 is 10 for the values of a variable x. What is the value of A.M.?
• Define the term skewness.
• What is meant by Laptokurtick?
• Distinguish between Simple and compound Events.
• State classical or Priori definition of probability.
• Define Independent Events.
• For any two events A and B. If P(A)=: P(AB)=and P(AB)=, then find P(B)

Q.No.4

• Write any two examples of random Experiments.
• What is Random Variable?
• Write any two properties of Probability Density Function
• Define mathematical Expectation
• Enlist the main steps in the construction of Ogive
• Define Hyper geometric Distribution
• Is it possible to have a Binominal Distribution if
• If n=20 , P=
• A fair coin is tossed 5 times, find the probability of 3 heads.

Section II

Q.No.5
(A) The Mean weight of 150 students in a class is 60 kg. The Mean Weight of the boys in the class is 70kg and that of girls is 55kg. Find the number of Boys and girls in the class.
(B) Find the value of Mode by using the empirical Relationship between averages for the given data

Q.No.6
(A) Find Coefficient of Variation

(B) Coefficient of Skewness of a distribution is 0.64. Its mean is 82 amd Mode is 50. Find the coefficient of variation and median

Q.No.7
(A) Compute Mean and variance of the probability Distribution Given as :

(B) A continuous r.v. “x” has the Probability Density function given by f(x)=k(4-x) 1<x<3
Q.No.8
(A) For the Data given find index number taking (i)1934 as base year (ii)1930 as base year

(B) Two cards are drawn at random from the well shuffled pack of 52 cards. Find the Probability that: (i) One is king and other is queen (ii) Both are or different colors

Q.No.9

(A) Find the mean and variance of the Binominal Distribution (q + p)2
(B) An urn contains nine  balls five of them are red and four are blue. Three balls are drawn without replacement. Find the probability distribution of X=No. of red balls drawn.