Calculate Coefficient and correlation between age and sucess age 18,19,20,21,22,23,24,25,26,27 ,28 faillures 38 40 30 32 34 37 42 46 52 56
Answers
Tr Jain And Vk Ohri Solutions
Statistics for Economics
Correlation
TR JAIN AND VK OHRI Solutions for Class 11-commerce Statistics For Economics Chapter 12 - Correlation
Chapter 12 - Correlation
Page / Exercise
332 333 334
Chapter 12 - Correlation Exercise 332
Question 1
Make a scattered diagram of the data given below. Does any relationship exist between the two?
X
4
5
6
7
8
9
10
11
12
13
14
15
Y
78
72
66
60
54
48
42
36
30
24
18
12
Solution 1
X and Y series show a perfect negative relationship between each other.
Question 2
Calculate coefficient of correlation of the age of husband and wife using Karl Pearson's method.
Husband (Age)
23
27
28
29
30
31
33
35
36
Wife (Age)
18
20
22
27
29
27
29
28
29
Solution 2
Question 3
Calculate correlation of the following data using Karl Pearson's method.
Series A
112
114
108
124
145
150
119
125
147
150
Series B
200
190
214
187
170
170
210
190
180
181
Solution 3
Question 4
Using assumed average in Karl Pearson's formula, calculate coefficient of correlation, given the following data :
X
78
89
97
69
59
79
68
61
Y
125
137
156
112
107
106
123
138
Solution 4
Question 5
Find out Karl Pearson's coefficient of correlation :
Capital Units
(in '000)
10
20
30
40
50
60
70
80
90
100
Profit Receipt
2
4
8
5
10
15
14
20
22
30
Solution 5
Question 6
Seven students of a class secured following marks in Economics and History. Calculate coefficient of correlation with the help of these data.
Economics
66
90
89
55
58
44
42
History
58
76
65
58
53
49
56
Solution 6
Question 7
Find out rank difference correlation of X and Y :
X
80
78
75
75
58
67
60
59
Y
12
13
14
14
14
16
15
17
Solution 7
Question 8
Calculate coefficient of correlation of the following data with rank difference and Karl Pearson's methods :
Economics (Marks)
77
54
27
52
14
35
90
25
56
60
Hindi (Marks)
35
58
60
46
50
40
35
56
44
42
Solution 8
Chapter 12 - Correlation Exercise 333
Question 1
Seven methods of teaching Economics in two universities are shown below. Calculate rank difference correlation.
Teaching Methods
I
II
III
IV
V
VI
VII
Rank of 'A's Students
2
1
5
3
4
7
6
Rank of 'B's Students
1
3
2
4
7
5
6
Solution 1
Question 2
Give three examples of perfect correlation. Find out rank difference correlation with the help of the following data:
X
48
33
40
9
16
65
26
15
57
Y
13
13
22
6
14
20
9
6
15
Solution 2
Question 3
Calculate coefficient of correlation of the following data :
X
10
6
9
10
12
13
11
9
Y
9
4
6
9
11
13
8
4
Solution 3
Question 4
Deviation of two series X and Y are shown. Calculate coefficient of correlation.
X
+5
-4
-2
+20
-10
0
+3
0
-15
-5
Y
+5
-12
-7
+25
-10
-3
0
+2
-9
-15
Solution 4
Solution 5
Question 6
In a Fancy-dress competition, two judges accorded the following ranks to eight participants :
Judge X
8
7
6
3
2
1
5
4
Judge Y
7
5
4
1
3
2
6
8
Calculate coefficient of rank correlation.
Solution 6
Solution 7
Chapter 12 - Correlation Exercise 334
Question 1
Following data relates to age group and percentage of regular players. Calculate Karl Pearson's coefficient of correlation.
Age Group
20-25
25-30
30-35
35-40
40-45
45-50
% of Regular Players
40
35
28
20
15
5
Solution 1
Question 2
From the following data, relating to playing habits in various age group of 900 students. Calculate coefficient of correlation between age group and playing habits.
age group
15-16
16-17
17-18
18-19
19-20
20-21
Number of Students
250
200
150
120
100
80
Regular Players
200
150
90
48
30
12
Solution 2
Question 3
Following data relates to density of population, number of deaths and population of various cities. Calculate death rate and Karl Pearson coefficient between density of population and death rate.
Cities
P
Q
R
S
T
U
Density of Population
200
500
700
500
600
900
Number of Deaths
840
300
312
560
1,440
1,224
Population
42,000
30,000
24,000
40,000
90,000
72,000
Solution 3
Question 4
From the following data, determine Karl Pearson's coefficient of correlation between X and Y series for 15 pairs :
X-series
Y-series
Mean
80
120
Sum of Squares of deviation from Arithmetic Mean
56
156
Sum of product of deviations of X and Y from their respective Means
92
Solution 4
Question 5
X - Series
Y - Series
Number of Items
15
15
Mean
25
18
SD
3.01
3.03
Sum of Squares of deviation from Mean
136
138
Sum of product of deviation of X and Y from their respective Means
122
Solution 5
CONTACT :
1800-212-7858 / 9372462318/ 9987178554
9:00am - 9:00pm IST all days.
Copyright Notice © 2021 Greycells18 Media Limited and its licensors. All rights reserved.