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First Semester B.Com.N Examinaff~n,-N~~;';~~~~ecember 2014(Revised New Scheme)

COMMERCEPaper - 1.6 : Quantitative Analysis - I

Time: 3 Hours Max. Marks: 80

Instruction: Answer should be written in English.

SECTION-A

Answer any 10 sub-questions. Each sub-question carries 2 marks.

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.

(10x2=20)

SECTION-B

Answer any three of the following questions. Each question carries 5 marks.

2. Arithmetic mean of the following data is 126.3, find missing value.

(3x5=15)

Salary (f) 60 80 100 ? 160 180 200

No. of Workers(f) 5 8 12 22 10 7 6

P.T.O.

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3. a) Find the sum of 20 terms of the Arithmetic Progression1 ·11

-+4-+8-+222

b) Calculate Harmonic mean of the following data:

I Income ~ I 85 I 70 [5OOJ 75 ~ 36 I4. Solve for x and y

5x + 2y = 89x - 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

Answer any three of the following. Each question carries 15 marks. (3x15=45)

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

No. of Students 12 19 5 10 9 6 6

8. a) Calculate Mean Deviation from Median for the following:

Wages (~ 0-20 20-40 40-60 60-80 80-100

No. of Workers 10 16 30 32 12

b) Solve through formula method:

(3x+5)(5x-3) -0X2 + 5x + 12 - .

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9. a) The following table gives you the wages of 150 workers in a factory. Fromthese details calculate mode.

Wages 0-400 400-800 800-1200 1200-1600 1600-2000 2000-2400 2400-2800 2800-3200

No. of Workers 4 12 40 41 27 13 9 4

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 firstclass 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 is1000. 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 22-4 16 7

4-6 13 126-8 7 19

8-10 5 910-12 4 1

What is the average life of each model of these refrigerators? Which model hasgreater uniformity?