Find the rank correlation coefficient, Applied Statistics

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.

Posted Date: 3/1/2013 1:45:15 AM | Location : United States







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