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First Semester B.Com.N Examinaff~n,-N~~;';~~~~ecember
(Revised New Scheme)
COMMERCE
Paper - 1.6 : Quantitative Analysis - I
Time: 3 Hours
Instruction:
13134
2014
Max. Marks: 80
Answer should be written in English.
SECTION-A
Answer any 10 sub-questions. Each sub-question carries 2 marks.
(10x2=20)
1. a) Mention two functions of statistics.
b) State the objectives of measures of variation.
c) What do you mean by standard deviation?
d) What is primary data?
e) How do you calculate modal value when mode is ill-defined?
f) Mention any two merits of Arithmetic mean.
g) What is meant by Quadratic equation?
h) Give the meaning of progression.
i) Find the HCF of 60,72,80.
D
What is prime number?
k) Define range.
I) Mention any four measures of dispersion.
SECTION-B
Answer any three of the following questions. Each question carries 5 marks.
(3x5=15)
2. Arithmetic mean of the following data is 126.3, find missing value.
Salary (f)
No. of Workers(f)
60
80
100
?
160
180
200
5
8
12
22
10
7
6
P.T.O.
13134
-2-
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3. a) Find the sum of 20 terms of the Arithmetic Progression
1 ·11
-+4-+8-+
222
b) Calculate Harmonic mean of the following data:
I Income ~ I
I 70 [5OOJ
85
75 ~
36
I
4. Solve for x and y
5x + 2y = 8
9x - 5y = 23.
5. a) Is 128 a term of the series 6 + 11 + 16 ... ?
b) Calculate Geometric mean for the following:
130,135,140,145,146,148,149,150,157.
6. a) If ab
= 3600, and the
LCM of la' and 'b' is 300, find the HCF.
b) From the data given below calculate Range and Co-efficient of range.
Daily Wages (~
SECTION-C
(3x15=45)
Answer any three of the following. Each question carries 15 marks.
7. a) If the 11th term of an Arithmetic progression is 44 and 16th term is 19. Find 20th
term.
b) Compute Quartile Deviation and its co-efficient from the following data.
Marks of Students
10-20
20-30
30-40
40-50
50-60
60-70
70-80
12
19
5
10
9
6
6
No. of Students
8. a) Calculate Mean Deviation from Median for the following:
Wages (~
No. of Workers
0-20
20-40
40-60
60-80
80-100
10
16
30
32
12
b) Solve through formula method:
(3x+5)(5x-3)
X2 + 5x + 12
-0
- .
-3-
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13134
9. a) The following table gives you the wages of 150 workers in a factory. From
these details calculate mode.
Wages
0-400
400-800
800-1200
1200-1600
1600-2000
2000-2400
2400-2800
2800-3200
4
12
40
41
27
13
9
4
No. of Workers
b) Find the sum of all numbers between 200 and 550 which are divisible by 9.
10. a) Following are the marks (out of 100) obtained by 50 students in mathematics.
70
55
57
42
57
45
60
47
63
53
33
65
39
82
55
64
50
25
65
75
30
20
58
52
36
45
42
35
40
61
53
59
49
41
15
52
46
42
45
39
55
65
45
63
~
~
64
35
~
18
Make a frequency distribution taking a class interval of 10 marks (take the first
class interval as 0-10) and find out the average marks of students.
b) The sum of three numbers in Geometric Progression is 35 and their product is
1000. Find the numbers.
11. Lives of two models of refrigerators in a recent survey are as below:
Life
Number of Refrigerators
Number of Years
Model A
Model B
0-2
5
2
2-4
16
7
4-6
13
12
6-8
7
19
8-10
5
9
10-12
4
1
What is the average life of each model of these refrigerators? Which model has
greater uniformity?