Assignment Task: Business Statistics
Part A:
Q1) Calculate mean, median, Mode and Standard Deviation for the following data:
|
Profits (Rs.):
|
100-200
|
200-300
|
300-400
|
400-500
|
500-600
|
600-700
|
700-800
|
|
Number of shops:
|
10
|
18
|
20
|
26
|
30
|
28
|
18
|
Q2) Two ladies were asked to rank 7 different types of lipsticks. The ranks given by them are as follows:
|
Lipsticks:
|
A
|
B
|
C
|
D
|
E
|
F
|
G
|
|
Neelu:
|
2
|
1
|
4
|
3
|
5
|
7
|
6
|
|
Neena:
|
1
|
3
|
2
|
4
|
5
|
6
|
7
|
Calculate Spearman's rank correlation coefficient.
Q3) Calculate regression coefficient and correlation from the following data:
|
X
|
2
|
4
|
6
|
8
|
10
|
12
|
14
|
|
Y
|
4
|
2
|
5
|
10
|
4
|
11
|
12
|
Find the estimate of y when x = 13.
Q4) Construct index number of price from the following data by applying:
1. Laspeyre's method
2. Paasche's method
3. Fisher's method
|
Commodity
|
2006
|
2007
|
|
|
Price
|
Quantity
|
Price
|
Quantity
|
|
2
|
2
|
8
|
4
|
6
|
|
5
|
5
|
10
|
6
|
5
|
|
4
|
4
|
4
|
5
|
10
|
|
2
|
2
|
19
|
2
|
13
|
Part B:
(a) Calculate regression coefficient and correlation from the following data:
|
x
|
2
|
4
|
6
|
8
|
10
|
12
|
14
|
|
y
|
4
|
2
|
5
|
10
|
4
|
11
|
12
|
Find the estimate of y when x = 13.
(b) Construct index number of price from the following data by applying:
1. Laspeyre's method
2. Paasche's method
3. Fisher's method
|
Commodity
|
2006
|
2007
|
|
|
Price
|
Quantity
|
Price
|
Quantity
|
|
A
|
2
|
8
|
4
|
6
|
|
B
|
5
|
10
|
6
|
5
|
|
C
|
4
|
4
|
5
|
10
|
|
D
|
2
|
19
|
2
|
13
|
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