1. Distinguish between Classification and Tabulation of data. What are the types of Classification of data?
2. Calculate mean and median for the following data
|
Marks
|
0-20
|
20-40
|
40-60
|
60-80
|
80-100
|
100-120
|
120-140
|
|
No of Students
|
4
|
26
|
22
|
10
|
9
|
6
|
3
|
3. Calculate the regression equations of X on Y and Y on X from the following data:
4. What is sampling? Briefly explain the various methods of sampling.
5. A company appoints four salesmen, A, B, C and D, and observes their sales in three seasons- summer, winter and monsoon. The figures ( in lakhs) are given in the following table:
|
Season
|
Salesman
|
|
A
|
B
|
C
|
D
|
Total
|
|
Summer
|
36
|
36
|
21
|
35
|
128
|
|
Winter
|
28
|
29
|
31
|
32
|
120
|
|
Monsoon
|
26
|
28
|
29
|
29
|
112
|
|
Total
|
90
|
93
|
81
|
96
|
360
|
|
|
|
|
|
|
|
|
|
|
Carry out an analysis of variance at 5% level of significance.
6. The mean wage is Rs. 75 per day, SD wage is Rs 5 per day for a group of 1000 workers and the same is Rs 60 and Rs 4.5 for the other group of 1500 workers. Find mean and standard deviation for the entire group.
7. Mention the characteristics of Statistics. Explain any two applications of Statistics.
8. Distinguish between primary and secondary data. What are the methods of collecting primary data?
9. Find Karl Pearson's correlation coefficient between the sales and expenses from the data given below:
|
Sales
(Rs. Lakhs)
|
50
|
50
|
55
|
60
|
65
|
65
|
65
|
60
|
60
|
50
|
|
Expenses (Rs. Lakhs)
|
11
|
13
|
14
|
16
|
16
|
15
|
15
|
14
|
13
|
13
|
10. The incidence of occupational disease in an industry is such that the workers have a 20% chance of suffering from it. What is the probability that out of six workers 4 or more will contract the disease?
11. Use chi-square test to test if the two attributes (Performance and Training) in the following table are independent. Test at 5% level of significance.
|
Performance
|
Training
|
|
Intensive
|
Good
|
Average
|
Total
|
|
Above Average
|
100
|
150
|
40
|
290
|
|
Average
|
100
|
100
|
100
|
300
|
|
Poor
|
50
|
80
|
150
|
280
|
|
Total 250
|
330
|
290
|
870
|
12. Construct index numbers of price for the following data by applying:
i) Laspeyre's method
ii) Paasche's method
iii) Fisher's Ideal Index number
|
Commodity
|
Base year
|
Current year
|
|
Price
|
Quantity
|
|
Price Quantity
|
|
A
|
2
|
8
|
4
|
6
|
|
B
|
5
|
10
|
6
|
5
|
|
C
|
4
|
14
|
5
|
10
|
|
D
|
2
|
19
|
2
|
13
|