REG NO:

St. Joseph’s college of Commerce (AUTONOMOUS)

END SEMESTER EXAMINATION – march / APRIL 2016

B.COM(T.T.) – IV SEMESTER

C2 12 403: BUSINESS STATISTICS

Duration: 3 Hours Max. Marks: 100

SECTION – A

Answer ALL the questions. Each carries 2 marks. (10×2=20)

Statistics is a useful subject for people working in every walk of life. Substantiate.

Which measure of central tendency is usually regarded as the best, why?

Explain weighted average. When should it be applied instead of a simple average?

What is coefficient of dispersion? What purpose does it serve?

Explain the different types of correlation as explained by Karl Pearson.

What is regression? How is it different from correlation?

Mention two uses of Index Numbers.

Explain two diagrammatic representations of data with figures.

State briefly the importance of time series analysis in business.

10.

Discuss the limitations of Statistics.

SECTION – B

II)

Answer any FOUR questions. Each carries 5 marks. (4×5=20)

11.

Explain the functions of Statistics.

12.

150 candidates appeared for a written examination. Their scores out of 100, are given below, calculate the mean score of these candidates.

Scores

No. of candidates

0-10

10-20

20-30

30-40

40-50

50-60

60-70

70-80

80-90

13.

Export earnings of companies are mentioned in the following table:

Earnings (Rs. crores): 5–10 10–15 15–20 20–25 25–30 30-35 35-40

No. of companies: 25 28 32 21 17 14 8

Calculate Range and its Coefficient.

14.

A student calculates the value of r as 0.7 when the value of n is 5 and concludes that r is highly significant. Is he correct? Also calculate the limits for the population coefficient correlation.

15.

From the following data, construct price index number using simple aggregative method.

Commodities

Base year Prices

Rs.

Current year Prices

Rs.

Milk

Wheat

Apple

House Rent

3,500

12.50

4,500

16.

Fit a trend by the method of semi averages to the following data:

Year: 2003 2004 2005 2006 2007 2008 2009 2010

Output (in units): 70 65 82 85 93 90 96 100

SECTION – C

III)

Answer any THREE questions. Each carries 15 marks. (3×15=45)

17.

From the following income distribution, draw a histogram and locate the mode. Also verify it through calculations.

Income

No. of Employees

0 – 100

100 – 200

200 – 300

300 – 400

400 – 500

500 – 600

600 – 700

18.

Complete the following distribution, if its median is 2600 and the total frequencies is 1500:

Size

1000-

1500

1500-

2000

2000-

2500

2500-

3000

3000-

4000

4000-

5000

5000-

6000

Frequencies

120

400

500

19.

Calculate Spearman’s Rank correlation co-efficient between Advisement cost and Sales from the following data:

Advertisement cost (‘000s)	Sales (in lakhs of Rs.)
39	47
65	53
62	58
90	86
82	62
75	68
25	60
98	91
36	51
78	84

20.

Given below are the data relating to interest rate on housing loan and the amount of housing loan advanced by a bank.

Years	Rate of Interest (% p.a.)	Amount of Housing Loan (in Rs. Crores)
2004	14	3
2005	13	8
2006	11	20
2007	10	35
2008	7	40
2009	5	44
2010	4	50

Compute the regression equation of X on Y and Y on X from the above data and estimate the housing loan amount if the rate of interest is reduced to 6%.

21.

From the following table calculate the coefficient of correlation by Karl Pearson’s method.

X	6	2	10	4	8
Y	9	11	5	8	7

SECTION – D

IV)

Case Study – Compulsory question. (1×15=15)

22.

Share prices of two companies A Ltd. and B Ltd. are recorded as follows:

A Ltd.	12	13	15	14	14	14	13	17
B Ltd.	113	114	113	115	117	114	112	114

Use standard deviation to find which company’s share prices are more variable?

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