B.Com. III - Semester (CBCS) Examination, November / December 2019
(Common Paper for General / Computers / Computer Applications /
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Advertising / Foreign Trade and Tax Procedure Courses)Subject: Business Statistics — I
Paper Code - BC - 306
Time: 3 Hours
Max.Marks: 80
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PART ~ A (5x4 = 20 Marks)
[Short Answer Type]
Note: Answer any five questions in not exceeding 20 lines each.
- Distrust of Statistics
- Parts of a Table
- False Base Line
- Represent the following data with the help of Percentage Bar Diagram
Item of the Expenditure Expenditure Food 5,000 Rent 10,000 Children's Education 4,000 Clothing 8,000 Medicines 2,000 Others 6,000 - State whether the data is right or wrong along with the reasons if any
AM = 4.5 GM = 4.192 and HM = 4.02 - Calculate the Geometric Mean for the data given below
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5000, 500, 50, 0.5 and 0.05 - Two workers on the same job show the following results:
Details Worker X Worker Y Mean time of completing the Job (Minutes) 30 25 Standard Deviation (Minutes) 6 4 - Which worker is faster in completing the job?
- Which worker is more consistent in time, he requires in completing the job.
- A student calculated the value of r as 0.7 with 3 observations and concludes that the correlation is highly significant. Is he right? Give your explanation
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10 a) The following data shows the expenditure of two families on various heads during a month:
Head | Big Family | Small Family |
---|---|---|
Rent | 9600 | 5400 |
Electricity, Telephone and Gas bills | 6,400 | 3,600 |
Education | 16,000 | 9,000 |
Conveyance | 6,400 | 1,800 |
Food & Provisions | 22,400 | 14,700 |
Functions and Miscellaneous | 3,200 | 1,500 |
Total | 64,000 | 36,000 |
Draw the Pie Diagrams for the data given above.
OR
b) Locate Median by using Ogive Curves on a Graph paper.
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Class Interval | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 |
---|---|---|---|---|---|
Frequency | 10 | 20 | 40 | 20 | 10 |
11 a) From the following information Calculate Median and Quartiles.
Below 10 | Below 20 | Below 30 | Below 40 | Below 50 | Below 60 | Below 70 | Below 80 | |
---|---|---|---|---|---|---|---|---|
No. of students | 12 | 30 | 65 | 83 | 92 | 98 | 100 | 100 |
OR
b) Compute Mean using Direct Method and Step Deviation Method and Verify the answers.
Wages | 0-100 | 100-200 | 200-300 | 300-400 | 400-500 | 500-600 |
---|---|---|---|---|---|---|
No. of workers | 14 | 20 | 42 | 8 | 20 | 10 |
12 a) Find Bowley’s Coefficient of Skewness:
Wages more than (in Rs) | 5 | 15 | 25 | 35 | 45 | 55 | 65 |
---|---|---|---|---|---|---|---|
No. of workers | 100 | 80 | 75 | 60 | 55 | 20 | 0 |
OR
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b) From the following data, calculate the Raw Moments and convert them into Central Moments:
X | 10-20 | 20-30 | 30-40 |
---|---|---|---|
f | 2 | 3 | 4 |
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