EduSahara™ Assignment
Name : Frequency Polygon
Chapter : Frequency Distribution Tables and Graphs
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
The frequency polygon is one drawn using
(i)
lower boundaries of classes and greater than cumulative frequencies
(ii)
mid point of classes and frequencies
(iii)
end points of classes and frequencies
(iv)
upper boundaries of classes and cumulative frequencies
Question
2
2.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
29 - 39
40 - 50
51 - 61
62 - 72
73 - 83
84 - 94
Frequency
47
48
27
19
32
36
(ii)
Class-Interval
29 - 39
40 - 50
51 - 61
62 - 72
73 - 83
84 - 94
Frequency
47
36
27
19
32
48
(iii)
Class-Interval
29 - 39
40 - 50
51 - 61
62 - 72
73 - 83
84 - 94
Frequency
47
48
27
22
32
36
(iv)
Class-Interval
29 - 39
40 - 50
51 - 61
62 - 72
73 - 83
84 - 94
Frequency
47
27
48
19
32
36
(v)
Class-Interval
29 - 39
40 - 50
51 - 61
62 - 72
73 - 83
84 - 94
Frequency
47
48
24
19
32
36
Question
3
3.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
Frequency
24
16
15
21
11
17
26
(ii)
Class-Interval
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
Frequency
24
26
16
21
11
17
15
(iii)
Class-Interval
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
Frequency
24
15
16
24
11
17
26
(iv)
Class-Interval
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
Frequency
24
15
16
21
11
17
26
(v)
Class-Interval
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
Frequency
24
15
18
21
11
17
26
Question
4
4.
Given frequency polygon showing the number of heart patients at various age groups, identify the class interval table.
(i)
Age (in years)
17 - 27
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
No. of heart patients
20
15
12
28
9
22
19
(ii)
Age (in years)
17 - 27
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
No. of heart patients
20
15
15
28
9
22
19
(iii)
Age (in years)
17 - 27
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
No. of heart patients
20
19
15
28
9
22
15
(iv)
Age (in years)
17 - 27
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
No. of heart patients
20
15
15
32
9
22
19
Question
5
5.
Given frequency polygon showing the number of heart patients at various age groups, identify the class interval table.
(i)
Age (in years)
11 - 20
20 - 29
29 - 38
38 - 47
47 - 56
No. of heart patients
6
10
9
17
21
(ii)
Age (in years)
11 - 20
20 - 29
29 - 38
38 - 47
47 - 56
No. of heart patients
6
10
11
17
21
(iii)
Age (in years)
11 - 20
20 - 29
29 - 38
38 - 47
47 - 56
No. of heart patients
6
9
10
17
21
(iv)
Age (in years)
11 - 20
20 - 29
29 - 38
38 - 47
47 - 56
No. of heart patients
6
14
9
17
21
(v)
Age (in years)
11 - 20
20 - 29
29 - 38
38 - 47
47 - 56
No. of heart patients
6
21
9
17
10
Question
6
6.
Marks obtained by 109 students of a class in an examination are given below.
Identify the class interval table for the given frequency polygon.
(i)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
21
14
5
18
17
18
19
(ii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
21
14
7
15
17
18
19
(iii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
21
5
14
15
17
18
19
(iv)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
21
14
5
15
17
18
19
(v)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
21
19
5
15
17
18
14
Question
7
7.
The daily pocket expenses of 155 students in a school are given below.
Identify the class interval table for the given frequency polygon.
(i)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
25
22
26
17
1
18
13
29
(ii)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
25
22
31
17
5
18
13
29
(iii)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
25
22
17
26
5
18
13
29
(iv)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
25
29
26
17
5
18
13
22
(v)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
25
22
26
17
5
18
13
29
Question
8
8.
Heights of 185 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
120 - 125
125 - 130
130 - 135
135 - 140
140 - 145
145 - 150
150 - 155
No. of students
49
41
31
5
25
26
8
(ii)
Height (in cm)
120 - 125
125 - 130
130 - 135
135 - 140
140 - 145
145 - 150
150 - 155
No. of students
49
8
41
5
25
26
31
(iii)
Height (in cm)
120 - 125
125 - 130
130 - 135
135 - 140
140 - 145
145 - 150
150 - 155
No. of students
49
31
41
5
25
26
8
(iv)
Height (in cm)
120 - 125
125 - 130
130 - 135
135 - 140
140 - 145
145 - 150
150 - 155
No. of students
49
31
43
5
25
26
8
(v)
Height (in cm)
120 - 125
125 - 130
130 - 135
135 - 140
140 - 145
145 - 150
150 - 155
No. of students
49
31
41
10
25
26
8
Question
9
9.
Heights of 144 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
129 - 138
139 - 148
149 - 158
159 - 168
169 - 178
179 - 188
No. of students
10
35
12
39
38
8
(ii)
Height (in cm)
129 - 138
139 - 148
149 - 158
159 - 168
169 - 178
179 - 188
No. of students
10
14
35
39
38
8
(iii)
Height (in cm)
129 - 138
139 - 148
149 - 158
159 - 168
169 - 178
179 - 188
No. of students
10
35
14
34
38
8
(iv)
Height (in cm)
129 - 138
139 - 148
149 - 158
159 - 168
169 - 178
179 - 188
No. of students
10
35
14
39
38
8
(v)
Height (in cm)
129 - 138
139 - 148
149 - 158
159 - 168
169 - 178
179 - 188
No. of students
10
8
14
39
38
35
Question
10
10.
Heights of 163 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
67 - 76
76 - 85
85 - 94
94 - 103
103 - 112
No. of plants
32
41
31
16
38
(ii)
Height (in cm)
67 - 76
76 - 85
85 - 94
94 - 103
103 - 112
No. of plants
32
38
31
16
46
(iii)
Height (in cm)
67 - 76
76 - 85
85 - 94
94 - 103
103 - 112
No. of plants
32
46
31
16
38
(iv)
Height (in cm)
67 - 76
76 - 85
85 - 94
94 - 103
103 - 112
No. of plants
32
46
33
16
38
(v)
Height (in cm)
67 - 76
76 - 85
85 - 94
94 - 103
103 - 112
No. of plants
32
31
46
16
38
Question
11
11.
Heights of 215 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
116 - 126
127 - 137
No. of plants
43
21
17
25
31
8
24
46
(ii)
Height (in cm)
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
116 - 126
127 - 137
No. of plants
43
21
12
25
31
8
24
46
(iii)
Height (in cm)
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
116 - 126
127 - 137
No. of plants
43
21
17
25
36
8
24
46
(iv)
Height (in cm)
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
116 - 126
127 - 137
No. of plants
43
21
25
17
31
8
24
46
(v)
Height (in cm)
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
116 - 126
127 - 137
No. of plants
43
46
17
25
31
8
24
21
Question
12
12.
Ages of 211 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
11 - 21
21 - 31
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
No. of students
12
48
6
23
50
34
7
31
(ii)
Age (in years)
11 - 21
21 - 31
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
No. of students
12
48
23
6
50
34
7
31
(iii)
Age (in years)
11 - 21
21 - 31
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
No. of students
12
48
19
6
50
34
7
31
(iv)
Age (in years)
11 - 21
21 - 31
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
No. of students
12
31
23
6
50
34
7
48
(v)
Age (in years)
11 - 21
21 - 31
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
No. of students
12
48
23
6
54
34
7
31
Question
13
13.
Ages of 117 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
11 - 21
22 - 32
33 - 43
44 - 54
55 - 65
No. of students
22
20
19
28
28
(ii)
Age (in years)
11 - 21
22 - 32
33 - 43
44 - 54
55 - 65
No. of students
22
28
19
28
20
(iii)
Age (in years)
11 - 21
22 - 32
33 - 43
44 - 54
55 - 65
No. of students
22
19
28
28
20
(iv)
Age (in years)
11 - 21
22 - 32
33 - 43
44 - 54
55 - 65
No. of students
22
28
16
28
20
(v)
Age (in years)
11 - 21
22 - 32
33 - 43
44 - 54
55 - 65
No. of students
22
32
19
28
20
Question
14
14.
Scores of 154 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
85 - 92
92 - 99
99 - 106
106 - 113
113 - 120
No. of students
49
32
26
10
39
(ii)
Score
85 - 92
92 - 99
99 - 106
106 - 113
113 - 120
No. of students
49
39
24
10
32
(iii)
Score
85 - 92
92 - 99
99 - 106
106 - 113
113 - 120
No. of students
49
32
24
10
39
(iv)
Score
85 - 92
92 - 99
99 - 106
106 - 113
113 - 120
No. of students
49
34
24
10
39
(v)
Score
85 - 92
92 - 99
99 - 106
106 - 113
113 - 120
No. of students
49
24
32
10
39
Question
15
15.
Scores of 88 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
70 - 80
81 - 91
92 - 102
103 - 113
114 - 124
No. of students
18
13
26
23
8
(ii)
Score
70 - 80
81 - 91
92 - 102
103 - 113
114 - 124
No. of students
18
8
26
23
13
(iii)
Score
70 - 80
81 - 91
92 - 102
103 - 113
114 - 124
No. of students
18
26
13
23
8
(iv)
Score
70 - 80
81 - 91
92 - 102
103 - 113
114 - 124
No. of students
18
16
26
23
8
(v)
Score
70 - 80
81 - 91
92 - 102
103 - 113
114 - 124
No. of students
18
13
29
23
8
Question
16
16.
Rainfall of 199 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
8 - 15
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
No. of days
40
30
24
34
14
25
32
(ii)
Rainfall (in mm)
8 - 15
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
No. of days
40
24
28
34
14
25
32
(iii)
Rainfall (in mm)
8 - 15
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
No. of days
40
32
30
34
14
25
24
(iv)
Rainfall (in mm)
8 - 15
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
No. of days
40
24
30
34
14
25
32
(v)
Rainfall (in mm)
8 - 15
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
No. of days
40
24
30
30
14
25
32
Question
17
17.
Rainfall of 261 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
No. of days
48
33
49
9
42
16
28
39
(ii)
Rainfall (in mm)
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
No. of days
48
33
46
9
37
16
28
39
(iii)
Rainfall (in mm)
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
No. of days
48
33
9
46
42
16
28
39
(iv)
Rainfall (in mm)
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
No. of days
48
39
46
9
42
16
28
33
(v)
Rainfall (in mm)
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
No. of days
48
33
46
9
42
16
28
39
Question
18
18.
Temperatures of 185 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
29 - 37
37 - 45
45 - 53
53 - 61
61 - 69
69 - 77
No. of days
45
10
47
18
47
18
(ii)
Temperature (in degree)
29 - 37
37 - 45
45 - 53
53 - 61
61 - 69
69 - 77
No. of days
45
18
47
18
47
10
(iii)
Temperature (in degree)
29 - 37
37 - 45
45 - 53
53 - 61
61 - 69
69 - 77
No. of days
45
18
47
22
47
10
(iv)
Temperature (in degree)
29 - 37
37 - 45
45 - 53
53 - 61
61 - 69
69 - 77
No. of days
45
47
18
18
47
10
(v)
Temperature (in degree)
29 - 37
37 - 45
45 - 53
53 - 61
61 - 69
69 - 77
No. of days
45
18
43
18
47
10
Question
19
19.
Temperatures of 134 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
No. of days
16
5
53
22
42
(ii)
Temperature (in degree)
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
No. of days
16
49
5
22
42
(iii)
Temperature (in degree)
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
No. of days
16
5
49
22
42
(iv)
Temperature (in degree)
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
No. of days
16
8
49
22
42
(v)
Temperature (in degree)
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
No. of days
16
42
49
22
5
Question
20
20.
Weights of 154 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
99 - 106
No. of students
18
21
5
24
39
17
30
(ii)
Weight (in kg)
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
99 - 106
No. of students
18
30
21
24
39
17
5
(iii)
Weight (in kg)
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
99 - 106
No. of students
18
5
25
24
39
17
30
(iv)
Weight (in kg)
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
99 - 106
No. of students
18
5
21
22
39
17
30
(v)
Weight (in kg)
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
99 - 106
No. of students
18
5
21
24
39
17
30
Question
21
21.
Weights of 219 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
44 - 53
54 - 63
64 - 73
74 - 83
84 - 93
94 - 103
104 - 113
114 - 123
No. of students
20
36
15
43
19
27
40
21
(ii)
Weight (in kg)
44 - 53
54 - 63
64 - 73
74 - 83
84 - 93
94 - 103
104 - 113
114 - 123
No. of students
20
21
13
43
19
27
40
36
(iii)
Weight (in kg)
44 - 53
54 - 63
64 - 73
74 - 83
84 - 93
94 - 103
104 - 113
114 - 123
No. of students
20
36
13
43
16
27
40
21
(iv)
Weight (in kg)
44 - 53
54 - 63
64 - 73
74 - 83
84 - 93
94 - 103
104 - 113
114 - 123
No. of students
20
36
43
13
19
27
40
21
(v)
Weight (in kg)
44 - 53
54 - 63
64 - 73
74 - 83
84 - 93
94 - 103
104 - 113
114 - 123
No. of students
20
36
13
43
19
27
40
21
Question
22
22.
Daily wages of 139 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
261 - 266
266 - 271
271 - 276
276 - 281
281 - 286
286 - 291
No. of labourers
11
7
16
29
29
47
(ii)
Daily wage (in Rs)
261 - 266
266 - 271
271 - 276
276 - 281
281 - 286
286 - 291
No. of labourers
11
16
11
29
29
47
(iii)
Daily wage (in Rs)
261 - 266
266 - 271
271 - 276
276 - 281
281 - 286
286 - 291
No. of labourers
11
47
7
29
29
16
(iv)
Daily wage (in Rs)
261 - 266
266 - 271
271 - 276
276 - 281
281 - 286
286 - 291
No. of labourers
11
16
7
29
29
47
(v)
Daily wage (in Rs)
261 - 266
266 - 271
271 - 276
276 - 281
281 - 286
286 - 291
No. of labourers
11
16
7
34
29
47
Question
23
23.
Daily wages of 113 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
292 - 298
299 - 305
306 - 312
313 - 319
320 - 326
No. of labourers
34
28
19
20
9
(ii)
Daily wage (in Rs)
292 - 298
299 - 305
306 - 312
313 - 319
320 - 326
No. of labourers
34
9
22
20
28
(iii)
Daily wage (in Rs)
292 - 298
299 - 305
306 - 312
313 - 319
320 - 326
No. of labourers
34
30
22
20
9
(iv)
Daily wage (in Rs)
292 - 298
299 - 305
306 - 312
313 - 319
320 - 326
No. of labourers
34
28
22
20
9
(v)
Daily wage (in Rs)
292 - 298
299 - 305
306 - 312
313 - 319
320 - 326
No. of labourers
34
22
28
20
9
Assignment Key
1) (ii)
2) (i)
3) (iv)
4) (ii)
5) (i)
6) (iv)
7) (v)
8) (iii)
9) (iv)
10) (iii)
11) (i)
12) (ii)
13) (ii)
14) (iii)
15) (i)
16) (iv)
17) (v)
18) (ii)
19) (iii)
20) (v)
21) (v)
22) (iv)
23) (iv)
