Statistics
L.K.No. 823
Paper Code No. 6155
Paper I (Objective Type)
Inter-A - 2015
New Marks Scheme
Time Allowed : 20 Minutes
Inter (Part I)
Maximum Marks : 17
Session (2012-14)(2013-15)(2014-16)

Note: Four possible choices A, B, C , D to each question are given. Which choice is correct, fill that circle in front of that question number. Use marker or pen to fill the circles. Cutting or Flling two or more circles will result in zero mark in that question,

Q.No.1

• The Graph of Frequency Distribution is called:
  

(A) Histogram
(B) Historigram
(C) Ogive
(D) Pie-Chart

• Column Caption are also called:

(A) Title
(B) Body
(C) Stub
(D) Box-head

• Census Returns are:
  

(A) Primary Data
(B) Secondary Data
(C) Only Qualitative Data
(D) Fictitious Data

• Which of the following Average cannot be less than zero:
  

(A) A.M.
(B) H.M.
(C) G.M. 
(D) Median

• If the values of a variable " x " are 6,7,5,2,4 then the value of Range is:
  

(A) 5
(B) 0
(C) 3
(D) 5

• Second Moment about Mean is:
  

(A) Zero
(B) Variance
(C) One 
(D) S.D.

• The model letter of the word " STATISTICS " is:
  

(A)  S
(B)  T 
(C)  I
(D) S,T

• If S.D. (x) = 5, then S.D.(2X+5/2) = :
  

(A) 5
(B) 7.5
(C)  9
(D) 15

• n Pr =
  

(A) n!/(n-r) !
(B) n!/r!
(C) n!/r!(n-r)!
(D) (n-r)!/n!

• Computing Methods of Consumer Price Index No. are:
  

(A) 4
(B) 3
(C) 2
(D) 1

• Link Relatives can be obtained dividing Pn by :
  

(A) P_o
(B) q_o
(C) q_n             
(D) P_(n-1)

• When three coins are tossed, the total number of possible outcomes are:
  

(A) 2
(B)  8
(C)  16
(D) 9

• A Binomial Random Variable "x" can assume values :

(A) 0,1,2,3,--- n
(B) 1,2,3,---n
(C) 0,1,2,,------∞
(D) -∞ to +∞

• The number of parameters in a Hypergeometric Distribution is:
  

(A) 1
(B) 2
(C) 3
(D) 4

• If E(x) = 1.6 and E(y) = 0.4 then   E(x - y) is

(A) 0.2
(B) 1.2
(C)  2.0
(D) 0.6

• In a Binomial Distribution the Mean i- e E(x) =
  

(A) np 
(B)  nq
(C) pq
(D) npq

• E(x- u)2 =

(A) Zero
(B) S.D.
(C) M.D.
(D) Variance

New Marks Scheme
Statistics (Subjective)
Inter-A.2015
Inter ( Part -I)
Time = 3 : 10 Hours
Total Marks : 83
Session (2012.14(2013-15)(2014-16)

Note: It is compulsory to attempt (8.8 ) parts each from Q.No.2 and 3 while attempt any 6 parts from Q. No.4 and attempt any (03) questions from Part II, while from Section-III (Practical Part) (03) parts should be attempted. Write same Question No. and its Part No.as given in the question paper.

Section – I 
Marks: (22*2=44)

Q.No.2

• Define the term Stalistics.
  
• Define Discrete Variable.
  
• Define Median with example.
  
• Define Mode.
  
• Given X1=41 x2 = 16 find G.M.
  
• Define Consumer Price Indus Number.
  
• Given  Σ10i=1( x - 20 )=14 find Mean.  
  
• Define Unweighted Price Index Number.
  
• What is Fixed Base Method?
  
• Define Simple index Number.
  
• For a certain distribution it
  
• Σ(x - 15) = 12 , Σ(x - 18) = 10, Σ(x - 21) = 10
  
• What is the value of Mean and why 
  
• Given ΣPoQo = 990, ΣP1Qo = 990, ΣP1Q1 = 890
  
• Find Paasches Price Index Number.

Q.No.3

• Define the term Tabulation.
• Define Classification.
  
• What is Symmetry and Skewness?
  
• Define the term Permutation.
  
• The first four Moments about Mean of a distribution are 0, 4, 6 and 48 find b2
  
• If S.D. = 3 of set of data, then what will be the Variance?
  
• A student calculated Mean and S.D. of 25 observations as 20 and 9 respectively. Find the due of Coefficient of Variation.
  
• Compute Range of the Data 8,11,7,15,9,12, 10,6
  
• Describe the different types of Kurtosis.  
  
• Give two examples of Mutually Exclusive Events.
  
• Suppose P(A) =1/3, P(AՍB ) = 1/2 and P(AՈB ) = 1/10 find p(B).
  
• Write Sample Space if three coins are tossed.

Q.No.4

• If E (x) = 3,   E ( y ) = 2.5 , find E ( x + y )
  
• Give an example of a Random Variable.
  
• Write two properties of Mathematical  Expectation.
  
• Define Distribution Function of Discrete Random Variable x.
  
• What is the probability of   getting 4 sixes when a die is rolled S times?
  
• What is the mean and variance of the Binomial Distribution with parameter n and P?
  
• Define Binomial Probability Distribution.
  
• If  n=4 , N=6 and K= 3 find P ( x = 1 )
  
• Given :        

Find the value of C.

Section - II

Q.No.5 (a) Calculate Harmonic Mean from the following data.   (4)

(b) The deviations from 25,5 of 15 different values are :   (4)
-15.4  -1.9    6.2    13.7   24.6    25.5     3.8  -7.9  -13.6    21.1  16.4     18.7
-14.3     -9.8  and   4.9  Calculate the Mean.

Q.No.6 (a) Monthly Salaries of 30 workers are given as :   (4)

Find Mean Deviation from Median and its Coefficient
(b) Compute Coefficient of Skewness using Averages and Standard Deviation,  (4)

Q.No.7 (a) An inquiry into the budgets of the middle class families in England gave  (4)
the following information :

What changes in cost of Living Index Numbers in 1929 as compared to 1928?
(b) Three balls are drawn successively from a box containing 6 red balls, 4 white balls and 5 blue balls, find the Probability that they are drawn in order red, white and blue if each ball is :   (4)
(i) Replaced
(ii) Not Replaced

Q.No.8 (a) A continuous random variable x has p.d.f. f( x ) = {1/3,  1 ≤ x ≤ 4
Elsewhere
Find :
(i)  P(1≤ x ≤ 4) 
(ii) P ( x = 2 )
(b) A random variable " x " has the following distribution. (4)

Find :
(i)  E ( x )
(ii) Var ( x)

Q.No.9
(a) An event has probability of its occurrence p=5/8 , Find the complete Binomial Distribution when n = 4.   (4)
(b) A bag contains 4 Green and 3 White Balls. Three balls are drawn without replacement. Make a Probability Distribution for white balls. (4)

Attempt any three Parts
Section-III
(Practical Part)

Q.No.10

(a) Calculate Mode from the following data.  (5)       

(b) Find Q.D. from the following data.  (5)

(c) Find Laspeyre's and Paasche's Price Index Numbers,  (5)

(d) Find the Mean and Variance from the following table. (5)

(e) For Binomial Distribution if n = 8 and P = ½ then find:  (5)
(i) Complete Binomial Distribution
(ii) P ( 4 ≤ x ≤ 6)