Following is the frequency distribution of marks obtained by students in Economics and Statistics . Analyse the data by drawing a Lorenz Curve.

Marks (mid-values) : 5 15 25 35 45 55 65 75 85 95

No.of students (Economics) : 10 12 13 14 22 27 20 12 11 9

No. of students (Statistics) : 1 2 26 50 59 40 10 8 3 1

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Solution

Marks Cumulative Cumulative
Percentage Students in
Economics Cumulative students Cumulative
Percentage Students in Statistics Cumulative
Students Cumulative Percentage

5
15
25
35
45
55
65
75
85
95 5
20
45
80
125
180
245
320
405
500 1
4
9
16
25
36
49
64
81
100 10
12
13
14
22
27
20
12
11
9 10
22
35
49
71
98
118
130
141
150 6.67
14.67
23.33
32.67
47.33
65.33
78.67
86.67
94
100 1
2
26
50
59
40
10
8
3
1 1
3
29
79
138
178
188
196
199
200 0.5
1.5
14.5
39.5
69
89
94
98
99.5
100

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Similar questions

Given below is the percentage of marks secured by 5 students in Economics and Statistics.

$\begin{matrix} Students & A & B & C & D & E Marks in Economics & 60 & 48 & 49 & 50 & 55 Marks in Statistics & 85 & 60 & 55 & 65 & 75 \end{matrix}$
Calculate the coefficient of rank correlation.

Five students A, B, C, D and E have scored the following marks in Economics and Statistics. Find the rank coefficient of their marks.

$\begin{matrix} S t u d e n t & S t a t i s t i c s (S) & E c o n o m i c s (E) A & 75 & 90 B & 63 & 60 C & 90 & 88 D & 82 & 80 E & 58 & 75 \end{matrix}$

Mean marks obtained by a student in his five subjects are $15$ . In English he secures $8$ marks, in Economics $12$ , in Mathematics $18$ , and in Commerce $9$ . Find out the marks he secured in Statistics.

Q. The marks obtained by 20 students in Statistics and Economics are given below . Prepare a bivariate frequency distribution.

Marks in Statistics	10	11	10	11	11	14	12	12	13	10	13	12	11	12	10	14	14	12	13	10
Marks in Economics	20	21	22	21	23	23	22	21	24	25	24	23	22	23	22	22	24	20	24	23

Prepare the frequency array of marks obtained by 25 students of a class in Economics test.

20,15,20,30,40,25,25,30,40,20,35,35,50,15,50,25,40,40,30,50,25,30,30,15,45.

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Marks (mid-values)	:	5	15	25	35	45	55	65	75	85	95
No.of students (Economics)	:	10	12	13	14	22	27	20	12	11	9
No. of students (Statistics)	:	1	2	26	50	59	40	10	8	3	1

Marks	Cumulative	Cumulative Percentage	Students in Economics	Cumulative students	Cumulative Percentage	Students in Statistics	Cumulative Students	Cumulative Percentage
5 15 25 35 45 55 65 75 85 95	5 20 45 80 125 180 245 320 405 500	1 4 9 16 25 36 49 64 81 100	10 12 13 14 22 27 20 12 11 9	10 22 35 49 71 98 118 130 141 150	6.67 14.67 23.33 32.67 47.33 65.33 78.67 86.67 94 100	1 2 26 50 59 40 10 8 3 1	1 3 29 79 138 178 188 196 199 200	0.5 1.5 14.5 39.5 69 89 94 98 99.5 100