Inter (Part-I) Gujrawala 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.

(A) Constant
(B) Continuous variable
(C) Discrete variable
(D) Qualitative variable

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

(A) midpoint
(B) class intern!
(C) class frequency
(D) none of these

(A) Mode
(B) Median
(C) Geometric mean
(D) Arithmetic mean

(A) 5
(B) 0
(C) 15.8
(D) Cannot be calculated

(A) Median
(B) Mode
(C) Mean
(D) Geometric mean

(A) Zero
(B) Variance
(C) One
(D) Mean deviation

(A) Positively skewed
(B) Symmetrical
(C) Negatively skewed
(D) None of these

(A) Simple
(B) Suitable
(C) Composite 
(D) Unsuitable

(A) Paasche's Index No.
(B) Laspeyre's Index No.
(C) Paigrave's ineex No.
(D) Fisher's index No.

(A) Equally likely
(B) Exhaustive
(C) Mutually exclusive
(D) Impossible events

(A) 9
(B) 18
(C) 8
(D) 6

(A) 0, 1, 2, ….. ,9
(B) -1, 2, ... ... 10
(C) 0, 1, 2,…, 10
(D) 1,2 ……, 5

(A) 1
(B) 0
(C) –1 
(D) o

(A) Unequal
(B) Variable
(C) Changing
(D) Constant

(A) Asymmetrical
(B) Skewed
(C) Symmetrical
(D) Both A and B

(A) N/nk
(B) nk/N
(C) k/nN
(D) n/kN

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

Section I

2. Write short answers to any Eight questions: (2x8=16)

3. Write short answers to any Eight questions: (2x8=16)

4. Write short answers to any SIX questions: (2x6=12)

SECTION - II

Question #5
(a) Calculate median and mode from the following data: 4

Wages

4-6

6-8

8-10

10-12

12-14

14-16

No. of employees

13

11

182

105

19

7


(b) The mean and geometric mean of two numbers are 9.0 and 7.2, respectively. Find two numbers. 4

Question #6
(a) Calculate Mean Deviation from mean

X:

200

300

350

700

840

 

4

2

2

1

1

(b) First four moments about x = 2 are given as 1, 2.5, 5.5 and 16. Calculate mean and coefficient of variation.

Question #7
(a) Find simple index number from the following data:

Years

1990

1991

1992

1993

1994

1995

1996

Prices

40

43

43

46

47

50

51

b) A card is drawn at random from a pack of 52 cards. Find the probability that it is: (i) An ace (ii) A picture card

Question #8(a) Given the probability distribution of 'X'

X

0

1

2

3

4

P(X)

1/16

4/16

6/16

4/6

1/6

Find E(X) and Var(X).

(b) A continues r.v.x having p.d.f f (x)1
(i)2< x <. Find (i) P(x < 4) (ii) P(x > 3) 4

Question #8
(a) Is it possible to have a binomial distribution with mean = 5 and the standard deviation = 4.
(b) A bag contains 6 green and 4 red balls. Three balls are drawn at random without replacement. What is the probability that , (i) all the green (ii) no green