BBA FIRST YEAR SECOND SEMESTER EXAMINATION, 2010
BUSINESS STATISTICS – I
Course Code : 1205
Suggestion for Final Exam
Faculty:
Ajoy Paul, BBA, MBA(Marketing),DU, Lecturer, Department of Business Administration, SBPGC
Chapter Included:
a) Introduction b) Collection, Processing and Presentation of Business Data c) Measure of Dispersion d) Moments, Skewness and Kurtosis.
1. Define Business Statistics? Discuss the limitation of Business Statistics.
2. Describe the characteristics of frequency distribution.
3. Why is statistics required in Business? / Importance of Statistics in Business.
4. Distinguish between the following:
(a) Primary and secondary Data
(b) Discrete and continuous frequency distribution
(c) Histogram and frequency polygon.
(d) Absolute and relative measure of dispersion.
(e) Inclusive and exclusive method.
(f) Histogram and bar diagram.
(g) Mean deviation and standard deviation.
(h) Standard deviation and co-efficient of variation.
(i) Central moments and Raw moments.
(j) Dispersion and skewness.
5. What are the properties of good measure of dispersion?
6. What do you understand by co-efficient of variation? Explain its usefulness in Business.
7. Define statistical method. Explain the uses of statistical methods in Business and Management.
8. Explain clearly how the measure of skewness and kurtosis can be used in describing a frequency distribution.
9. We are given the following frequency distribution regarding annual profits in thousand taka of 115 firms:-
Profits (000 Tk.) No. of firms
25-30 5
30-35 16
35-40 26
40-45 30
45-50 20
50-55 12
55-60 6
Construct less than and more than ogive curve and hence find the number of firms having profit between Tk. 32500 and Tk. 52500.
10. The following table gives the average monthly earnings of the mill workers in a certain city :
Monthly earnings(Tk.) No. of workers Monthly earnings(Tk.) No. of workers
800-850 21 1200-1250 36
850-900 29 1250-1300 45
900-950 19 1300-1350 27
950-1000 39 1350-1400 48
1000-1050 43 1400-1450 21
1050-1100 94 1450-1500 12
1100-1150 73 1500-1550 5
1150-1200 68
(a) Draw ogives by ‘less than’ and ‘more than’ method for the data given above.
(b) Find the number of workers whose wages lie between Tk.1180 and Tk.1480.
11. For two firm A and B belonging to the same industry, the following details are available:-
Firm A Firm B
No of Employees 100 200
Average wage monthly Tk.2400 Tk.1800
S.D. Tk.60 Tk.80
(a)Which firm pays out larger amount as wages?
(b)Which firm shows greater variability in the distribution of wages?
(c)Find average monthly wage and standard deviation of all the employees in both the firms.
12.Calculate co-efficient of skewness of the above date(given that standard deviation is 4.12). Based on the above result, what is your conclusion about the skewness?
13.You are given the frequency distribution of 292 workers of a factory according to their average weekly income. Calculate quartile deviation and its coefficient from the following data:
Weekly Income(Tk. No. of workers Weekly Income(Tk.) No. of workers
Below 350 8 450-470 22
350-370 16 470-490 15
370-390 39 490-510 15
390-410 58 510-530 9
410-430 60 530 & above 10
430-450 40
14.Particulars regarding the income of two villages are given below:
Village X Village Y
Number of persons 600 500
Average income(in taka) 175 186
Variance of income (in Tk.) 100 81
(a)In which village is the variation in income greater?
(b)What is the combined standard deviation of the village X and village Y put together?
15.A sample of daily production was organized into the following distribution:-
Daily Production Frequency
80-90 5
90-100 9
100-110 20
110-120 8
120-130 6
130-140 2
(a)Calculate the mean and median of the above distribution.
(b)Calculate the standard deviation and variance.
(c)Interpret the result.
16.What are the different measures of dispersion? Why standard deviation is considered to be the best measures?
17.State the various ways of presenting a frequency distribution graphically and discuss one of them.
18.Define measure of dispersion and state the merits of Standard deviation and mean deviation.
19.You are given the concept of skewness and kurtosis of a frequency distribution.
20.You are given the following data pertaining to kilowatt hours of electricity consumed by 100 persons in Dhaka :-
Consumption(in k-watt hours) 0-10 10-20 20-30 30-40 40-50
No. of users 6 25 36 20 13
Calculate ;-
Arithmatic mean, Standard deviation, Co-efficient of Skewness.
21.Mention the uses of standard deviation.
22.The demand of a commodity in two different towns are given below:-
Town A 36 42 18 35 48 62
Town B 38 28 25 42 37 40
In which town, the demand condition is more stable and why?
23.“Statistics is the science of average” – Explain
24.How does statistics help a manager? / Describe the managerial implication of statistics.
25.State the properties of a good measures of variation.
26.What is dispersion? State the significance of measuring dispersion.
27.Characteristics or properties of Statistics.
28.Describe the importance of Data collection.
29.The following table relates to the profits and losses of 100 firms. Calculate the average profits and the standard deviation of profits:
Profits & loss No. of firms Profits & Loss No. of firms
5,000-6,000 8 0-1,000 6
4,000-5,000 12 (-)1,000-0 5
3,000-4,000 30 (-)2,000-(-)1,000 8
2,000-3,000 10 (-)3,000-(-),2000 9
1,000-2,000 5 (-)4,000-(-)3,000 7
30.Compute the coefficient of variation from the following data:
Monthly Income 2501-5000 5001-7500 7501-10000 10001-12500 12501-15000
No. of families 65 130 215 100 70
31.Calculate the coefficient of quartile deviation from the following data:
Marks No. of students
Up to 20 12
Up to 40 20
Up to 60 60
Up to 80 140
Up to 100 160
Up to 120 185
32.A purchasing agent obtained sample of incandescent lams from two suppliers. He had the samples tested in his own laboratory for length of life with the following result:
Length of life (in hours) Sample from
Company – A Company – B
700-900 10 3
900-1000 16 42
1100-1300 26 12
1300-1500 8 3
Which company’s lamps are more uniform?
33.The demand of a commodity in two different towns are given below:
Town A : 40 44 18 36 46 60
Town B : 42 27 26 43 32 40
34.An organization has two units A and B. An analysis of daily wages paid to workers gave the following results.
Unit A Unit B
No. of workers 600 700
Average daily wage 120 170
Standard deviation 4 6
(a)Which unit pays larger amount as weekly wage?
(b)In which unit there is greater variability in wage distribution?
(c)Find the combined average wage and the combined standard deviation of wage for the whole organization.
35.Calculate Bowley’s coefficient of skewness from the data given as-
Marks No. of students
10-20 2
20-30 8
30-40 12
40-50 28
50-60 15
60-70 5
36.Calculate Karl pearson’s coefficient of skewness and state in which section skewness is higher –
Marks Students
Section A Section B
30-40 1 0
40-50 6 7
50-60 12 12
60-70 20 30
70-80 28 23
80-90 13 8
37.Karl pearson’s coefficient of a distribution is 0.65. Its standard deviation and mean is 8 and 40 respectively. Find mode and median of the distribution.
