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Posted By: Reena Malik Member Level: Diamond Posted Date: 22 May 2008
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2006 Indira Gandhi National Open University (IGNOU) B.Com ECO7: Elements of Statistics Question paper
Bachelors Degree Programme
Term-End Examination
December, 2006
Elective Course: Commerce
ECO7: Elements of Statistics
Time : 2 hours
Maximum Marks : 50
Note : Attempt any four questions. All questions carry equal marks.
1. (a) Fill in the blanks with the appropriate word given in the brackets :
(i) Statistics deals with ___________. (individuals,/aggregatoef facts)
(ii) Statistical derivates ____________ be used to estimate unknown quantities. (can/cannot)
(iii) The classification of students on the basis of their religion is an example of classification according to __________ . (attribute/variable)
(iv) The value of arithmetic mean is ___________ , if mode is 15.3 and median is 14.2. (13.15/13.65)
(v) For computing the average of percentages ___________ , is the most suitable average. (me dian/ geometric mean)
(vi) Skewness ___________ be calculated for open-ended classes (can/cannot)
(vii) In a bar ___________ diagram two or more bars are constructed adjoining each other. (multiple/sub-divided)
(viii) When there is a greater concentration in higher values, such distribution is known as __________ distribution. (negatively skewed/positively skewed)
(b) What are the objectives of classification? (8, 4 1/2)
2. (a) Explain any one of the properties of arithmetic mean with suitable illustration.
(b) Calculate arithmetic mean from the following data : (4 1/2, 8)
X F
0-10 12
10-20 18
20-30 27
30-40 20
40-50 77
50-60 6
3. Explain the various methods that are used in the collection of primary data.
4. The following data shows the daily sales at a petrol station. Calculate the Karl Pearson's co -efficient of skewness. (12 1/2)
Quantity sold (in litres) No. of days
700 - 1000 12
1000 - 1300 18
1300 - 1600 20
1600 - 1900 25
1900 - 2200 18
2200 - 2500 5
2500 - 2800 2
5. (a) For a group of 50 male workers, the mean and standard deviation of their daily wages are Rs. 113 and Rs. 6.5 respectively. For another group of 60 female workers these are Rs. 120 and Rs. 8.2 respectively. Find the standard deviation for the combined group of 110 workers.
(b) What are the objectives of tabular presentation of statistical data ? (6 1/2, 6)
6. (a) The following figures relate to the cost of construction of a house in Delhi :
Item Expenditure
Cement 20%
Bricks 10%
Timber 15%
Steel 18%
Labour 25%
Others 12%
Present the data in the form of a pie diagram.
(b) What arethe tests of skewness ? (8, 4 1/2)
7. (a) In a frequency distribution the co-efficient of skewness based on quartiles is 0.6. If the sum of the upper and the lower quartiles is 100 and the median is 38, find the value of the upper quartile.
(b) Calculate the geometric mean of the following data : (6 1/2, 6)
2574, 475, 75, 5, 0.8, 0.005
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