Indira Gandhi National Open University (IGNOU) 2006 B.Com Elements of statistics - Question Paper

Test Papers / Previous ques. Papers of IGNOU ECO7 Elements of Statistics December 2006
Bachelors Degree Programme

Term-End exam
December, 2006

Elective Course: Commerce
ECO7: Elements of Statistics
Time : two hours
Maximum Marks : 50

Note : Attempt any 4 ques.. All ques. carry equal marks.

1. (a) Fill in the blanks with the improper word provided in the brackets :

(i) Statistics deals with ___________. (individuals,/aggregatoef facts)

(ii) Statistical derivates ____________ be used to estimate unknown volumes. (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 avg. of percentages ___________ , is the most suitable avg.. (me dian/ geometric mean)

(vi) Skewness ___________ be computed for open-ended classes (can/cannot)

(vii) In a bar ___________ diagram 2 or more bars are constructed adjoining every 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) elaborate the objectives of classification? (8, four 1/2)

2. (a) discuss any 1 of the properties of arithmetic mean with suitable illustration.

(b) compute arithmetic mean from the subsequent data : (4 1/2, 8)

X F
0-10 12
10-20 18
20-30 27
30-40 20
40-50 77
50-60 six

3. discuss the different methods that are used in the collection of primary data.

4. The subsequent data indicates the daily sales at a petrol station. compute the Karl Pearson's co -efficient of skewness. (12 1/2)

volume sold (in litres) No. of days
700 - 1000 12
1000 - 1300 18
1300 - 1600 20
1600 - 1900 25
1900 - 2200 18
2200 - 2500 five
2500 - 2800 two

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 a different group of 60 female workers these are Rs. 120 and Rs. 8.2 respectively. obtain the standard deviation for the combined group of 110 workers.

(b) elaborate the objectives of tabular presentation of statistical data ? (6 1/2, 6)

6. (a) The subsequent 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%

current the data in the form of a pie diagram.

(b) What arethe tests of skewness ? (8, four 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, obtain the value of the upper quartile.

(b) compute the geometric mean of the subsequent data : (6 1/2, 6)
2574, 475, 75, 5, 0.8, 0.005

Earning:   Approval pending.