1. Calculate the mean and mode of:
Central size 15 25 35 45 55 65 75 85
Frequencies 5 9 13 21 20 15 8 3
The following data shows the monthly expenditure of 80 students of a university on morning food.
|
Exp in $
|
No of Students
|
$
|
No. of Student
|
|
78 - 82
|
2
|
53-57
|
13
|
|
73 - 77
|
6
|
48-53
|
9
|
|
68 - 72
|
7
|
43 - 47
|
7
|
|
63 - 67
|
12
|
48 - 42
|
4
|
|
58 - 62
|
18
|
33 - 37
|
2
|
Calculate mean, SD & Coefficient of variation.
Calculate Karl Pearson's Coefficient of correlation between values of X & Y given below. Calculate the probable error.
|
X
|
78
|
89
|
96
|
69
|
59
|
79
|
68
|
61
|
|
Y
|
125
|
96
|
156
|
112
|
107
|
136
|
123
|
108
|
A project scheduling the following characteristics
Activity 1-2 1-3 2-4 3-4 3-5 4-9 5-6 5-7 6-8 7-8 8-10 9-10
Time (days)
4 1 1 1 6 5 4 8 1 2 5 7
Summarize the CPM calculations in a tabular form and determine the critical path.
In a car manufacturing plant, a loading crane takes exactly 10 minutes to load a car into a wagon and again come back to the position of loading another car. If the arrivals of cars is a Poisson stream at an average of one every 20 minutes. Calculate the average waiting time of a car.
The ranks of the same 15 students in two subjects A and B are given below, the two numbers within the brackets denoting the ranks of the same student in A and B respectively:
(1, 10), (2, 7), (3, 2), (4, 6), (5, 4), (6, 8), (7, 3), (8, 1), (9, 11), (10, 15), (11, 9), (11, 5), (13, 14), (14, 12), (15, 13)
Use Spearman's formula to find the rank correlation coefficient.