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)
end points of classes and frequencies
(ii)
lower boundaries of classes and greater than cumulative frequencies
(iii)
upper boundaries of classes and cumulative frequencies
(iv)
mid point of classes and frequencies
Question
2
2.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
48 - 57
58 - 67
68 - 77
78 - 87
88 - 97
98 - 107
Frequency
38
29
50
35
41
33
(ii)
Class-Interval
48 - 57
58 - 67
68 - 77
78 - 87
88 - 97
98 - 107
Frequency
38
29
50
32
41
33
(iii)
Class-Interval
48 - 57
58 - 67
68 - 77
78 - 87
88 - 97
98 - 107
Frequency
38
29
47
35
41
33
(iv)
Class-Interval
48 - 57
58 - 67
68 - 77
78 - 87
88 - 97
98 - 107
Frequency
38
33
50
35
41
29
(v)
Class-Interval
48 - 57
58 - 67
68 - 77
78 - 87
88 - 97
98 - 107
Frequency
38
50
29
35
41
33
Question
3
3.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
80 - 89
89 - 98
98 - 107
Frequency
30
32
10
45
34
13
28
20
(ii)
Class-Interval
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
80 - 89
89 - 98
98 - 107
Frequency
30
20
45
10
34
13
28
32
(iii)
Class-Interval
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
80 - 89
89 - 98
98 - 107
Frequency
30
32
45
10
34
13
28
20
(iv)
Class-Interval
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
80 - 89
89 - 98
98 - 107
Frequency
30
32
45
10
39
13
28
20
(v)
Class-Interval
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
80 - 89
89 - 98
98 - 107
Frequency
30
32
40
10
34
13
28
20
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)
32 - 42
43 - 53
54 - 64
65 - 75
76 - 86
87 - 97
98 - 108
No. of heart patients
25
27
16
29
22
8
22
(ii)
Age (in years)
32 - 42
43 - 53
54 - 64
65 - 75
76 - 86
87 - 97
98 - 108
No. of heart patients
25
27
20
27
22
8
22
(iii)
Age (in years)
32 - 42
43 - 53
54 - 64
65 - 75
76 - 86
87 - 97
98 - 108
No. of heart patients
25
22
16
27
22
8
27
(iv)
Age (in years)
32 - 42
43 - 53
54 - 64
65 - 75
76 - 86
87 - 97
98 - 108
No. of heart patients
25
27
16
27
22
8
22
(v)
Age (in years)
32 - 42
43 - 53
54 - 64
65 - 75
76 - 86
87 - 97
98 - 108
No. of heart patients
25
16
27
27
22
8
22
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)
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
No. of heart patients
20
30
19
14
28
7
(ii)
Age (in years)
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
No. of heart patients
20
30
14
9
28
7
(iii)
Age (in years)
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
No. of heart patients
20
14
30
14
28
7
(iv)
Age (in years)
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
No. of heart patients
20
30
14
14
28
7
(v)
Age (in years)
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
No. of heart patients
20
7
14
14
28
30
Question
6
6.
Marks obtained by 144 students of a class in an examination are given below.
Identify the class interval table for the given frequency polygon.
(i)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
12
28
20
7
25
11
23
21
(ii)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
12
28
17
7
27
11
23
21
(iii)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
12
28
7
17
25
11
23
21
(iv)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
12
21
17
7
25
11
23
28
(v)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
12
28
17
7
25
11
23
21
Question
7
7.
The daily pocket expenses of 93 students in a school are given below.
Identify the class interval table for the given frequency polygon.
(i)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
11
12
18
5
15
6
21
(ii)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
11
12
23
5
15
6
21
(iii)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
11
21
23
5
15
6
12
(iv)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
11
12
23
10
15
6
21
(v)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
11
23
12
5
15
6
21
Question
8
8.
Heights of 136 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
125 - 131
131 - 137
137 - 143
143 - 149
149 - 155
No. of students
20
22
45
5
47
(ii)
Height (in cm)
125 - 131
131 - 137
137 - 143
143 - 149
149 - 155
No. of students
20
45
19
5
47
(iii)
Height (in cm)
125 - 131
131 - 137
137 - 143
143 - 149
149 - 155
No. of students
20
19
45
5
47
(iv)
Height (in cm)
125 - 131
131 - 137
137 - 143
143 - 149
149 - 155
No. of students
20
47
45
5
19
(v)
Height (in cm)
125 - 131
131 - 137
137 - 143
143 - 149
149 - 155
No. of students
20
19
48
5
47
Question
9
9.
Heights of 115 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
120 - 128
129 - 137
138 - 146
147 - 155
156 - 164
No. of students
9
9
28
36
33
(ii)
Height (in cm)
120 - 128
129 - 137
138 - 146
147 - 155
156 - 164
No. of students
9
33
28
36
9
(iii)
Height (in cm)
120 - 128
129 - 137
138 - 146
147 - 155
156 - 164
No. of students
9
37
28
36
9
(iv)
Height (in cm)
120 - 128
129 - 137
138 - 146
147 - 155
156 - 164
No. of students
9
28
33
36
9
(v)
Height (in cm)
120 - 128
129 - 137
138 - 146
147 - 155
156 - 164
No. of students
9
33
33
36
9
Question
10
10.
Heights of 96 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
57 - 62
62 - 67
67 - 72
72 - 77
77 - 82
No. of plants
17
21
10
36
12
(ii)
Height (in cm)
57 - 62
62 - 67
67 - 72
72 - 77
77 - 82
No. of plants
17
7
10
36
21
(iii)
Height (in cm)
57 - 62
62 - 67
67 - 72
72 - 77
77 - 82
No. of plants
17
12
10
36
21
(iv)
Height (in cm)
57 - 62
62 - 67
67 - 72
72 - 77
77 - 82
No. of plants
17
12
7
36
21
(v)
Height (in cm)
57 - 62
62 - 67
67 - 72
72 - 77
77 - 82
No. of plants
17
10
12
36
21
Question
11
11.
Heights of 103 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
63 - 72
73 - 82
83 - 92
93 - 102
103 - 112
113 - 122
No. of plants
26
9
19
22
21
6
(ii)
Height (in cm)
63 - 72
73 - 82
83 - 92
93 - 102
103 - 112
113 - 122
No. of plants
26
9
15
22
21
6
(iii)
Height (in cm)
63 - 72
73 - 82
83 - 92
93 - 102
103 - 112
113 - 122
No. of plants
26
19
9
22
21
6
(iv)
Height (in cm)
63 - 72
73 - 82
83 - 92
93 - 102
103 - 112
113 - 122
No. of plants
26
6
19
22
21
9
(v)
Height (in cm)
63 - 72
73 - 82
83 - 92
93 - 102
103 - 112
113 - 122
No. of plants
26
9
19
25
21
6
Question
12
12.
Ages of 200 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
68 - 76
76 - 84
No. of students
37
5
4
28
41
50
25
8
(ii)
Age (in years)
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
68 - 76
76 - 84
No. of students
37
5
28
6
41
50
25
8
(iii)
Age (in years)
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
68 - 76
76 - 84
No. of students
37
5
6
28
41
50
25
8
(iv)
Age (in years)
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
68 - 76
76 - 84
No. of students
37
5
6
28
39
50
25
8
(v)
Age (in years)
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
68 - 76
76 - 84
No. of students
37
8
6
28
41
50
25
5
Question
13
13.
Ages of 168 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
15 - 25
26 - 36
37 - 47
48 - 58
59 - 69
70 - 80
81 - 91
No. of students
13
5
52
26
15
15
47
(ii)
Age (in years)
15 - 25
26 - 36
37 - 47
48 - 58
59 - 69
70 - 80
81 - 91
No. of students
13
47
5
26
15
15
47
(iii)
Age (in years)
15 - 25
26 - 36
37 - 47
48 - 58
59 - 69
70 - 80
81 - 91
No. of students
13
5
47
24
15
15
47
(iv)
Age (in years)
15 - 25
26 - 36
37 - 47
48 - 58
59 - 69
70 - 80
81 - 91
No. of students
13
47
47
26
15
15
5
(v)
Age (in years)
15 - 25
26 - 36
37 - 47
48 - 58
59 - 69
70 - 80
81 - 91
No. of students
13
5
47
26
15
15
47
Question
14
14.
Scores of 159 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
78 - 85
85 - 92
92 - 99
99 - 106
106 - 113
No. of students
43
17
38
38
23
(ii)
Score
78 - 85
85 - 92
92 - 99
99 - 106
106 - 113
No. of students
43
38
20
38
23
(iii)
Score
78 - 85
85 - 92
92 - 99
99 - 106
106 - 113
No. of students
43
41
17
38
23
(iv)
Score
78 - 85
85 - 92
92 - 99
99 - 106
106 - 113
No. of students
43
23
17
38
38
(v)
Score
78 - 85
85 - 92
92 - 99
99 - 106
106 - 113
No. of students
43
38
17
38
23
Question
15
15.
Scores of 212 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
73 - 80
81 - 88
89 - 96
97 - 104
105 - 112
113 - 120
121 - 128
No. of students
41
32
23
16
34
13
48
(ii)
Score
73 - 80
81 - 88
89 - 96
97 - 104
105 - 112
113 - 120
121 - 128
No. of students
41
32
28
16
34
13
48
(iii)
Score
73 - 80
81 - 88
89 - 96
97 - 104
105 - 112
113 - 120
121 - 128
No. of students
41
32
28
19
34
13
48
(iv)
Score
73 - 80
81 - 88
89 - 96
97 - 104
105 - 112
113 - 120
121 - 128
No. of students
41
28
32
16
34
13
48
(v)
Score
73 - 80
81 - 88
89 - 96
97 - 104
105 - 112
113 - 120
121 - 128
No. of students
41
48
28
16
34
13
32
Question
16
16.
Rainfall of 174 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
9 - 16
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
No. of days
48
25
15
20
22
44
(ii)
Rainfall (in mm)
9 - 16
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
No. of days
48
15
25
18
22
44
(iii)
Rainfall (in mm)
9 - 16
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
No. of days
48
44
25
20
22
15
(iv)
Rainfall (in mm)
9 - 16
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
No. of days
48
15
21
20
22
44
(v)
Rainfall (in mm)
9 - 16
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
No. of days
48
15
25
20
22
44
Question
17
17.
Rainfall of 147 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
6 - 13
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
No. of days
17
40
31
10
13
41
(ii)
Rainfall (in mm)
6 - 13
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
No. of days
17
41
31
5
13
40
(iii)
Rainfall (in mm)
6 - 13
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
No. of days
17
40
26
5
13
41
(iv)
Rainfall (in mm)
6 - 13
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
No. of days
17
40
31
5
13
41
(v)
Rainfall (in mm)
6 - 13
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
No. of days
17
31
40
5
13
41
Question
18
18.
Temperatures of 142 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
No. of days
33
9
22
25
8
45
(ii)
Temperature (in degree)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
No. of days
33
45
22
30
8
9
(iii)
Temperature (in degree)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
No. of days
33
45
22
25
8
9
(iv)
Temperature (in degree)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
No. of days
33
22
45
25
8
9
(v)
Temperature (in degree)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
No. of days
33
45
17
25
8
9
Question
19
19.
Temperatures of 181 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
74 - 81
82 - 89
No. of days
9
8
38
22
30
47
9
18
(ii)
Temperature (in degree)
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
74 - 81
82 - 89
No. of days
9
8
25
38
30
47
9
18
(iii)
Temperature (in degree)
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
74 - 81
82 - 89
No. of days
9
18
22
38
30
47
9
8
(iv)
Temperature (in degree)
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
74 - 81
82 - 89
No. of days
9
8
22
38
25
47
9
18
(v)
Temperature (in degree)
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
74 - 81
82 - 89
No. of days
9
8
22
38
30
47
9
18
Question
20
20.
Weights of 169 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
53 - 63
63 - 73
73 - 83
83 - 93
93 - 103
103 - 113
113 - 123
No. of students
23
21
31
44
24
8
18
(ii)
Weight (in kg)
53 - 63
63 - 73
73 - 83
83 - 93
93 - 103
103 - 113
113 - 123
No. of students
23
31
18
44
24
8
18
(iii)
Weight (in kg)
53 - 63
63 - 73
73 - 83
83 - 93
93 - 103
103 - 113
113 - 123
No. of students
23
31
21
44
24
8
18
(iv)
Weight (in kg)
53 - 63
63 - 73
73 - 83
83 - 93
93 - 103
103 - 113
113 - 123
No. of students
23
31
21
47
24
8
18
(v)
Weight (in kg)
53 - 63
63 - 73
73 - 83
83 - 93
93 - 103
103 - 113
113 - 123
No. of students
23
18
21
44
24
8
31
Question
21
21.
Weights of 207 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
56 - 61
62 - 67
68 - 73
74 - 79
80 - 85
86 - 91
92 - 97
No. of students
33
43
9
25
29
39
26
(ii)
Weight (in kg)
56 - 61
62 - 67
68 - 73
74 - 79
80 - 85
86 - 91
92 - 97
No. of students
33
26
9
28
29
39
43
(iii)
Weight (in kg)
56 - 61
62 - 67
68 - 73
74 - 79
80 - 85
86 - 91
92 - 97
No. of students
33
9
43
28
29
39
26
(iv)
Weight (in kg)
56 - 61
62 - 67
68 - 73
74 - 79
80 - 85
86 - 91
92 - 97
No. of students
33
43
12
28
29
39
26
(v)
Weight (in kg)
56 - 61
62 - 67
68 - 73
74 - 79
80 - 85
86 - 91
92 - 97
No. of students
33
43
9
28
29
39
26
Question
22
22.
Daily wages of 144 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
221 - 229
229 - 237
237 - 245
245 - 253
253 - 261
261 - 269
No. of labourers
18
20
48
5
48
5
(ii)
Daily wage (in Rs)
221 - 229
229 - 237
237 - 245
245 - 253
253 - 261
261 - 269
No. of labourers
18
48
20
5
48
5
(iii)
Daily wage (in Rs)
221 - 229
229 - 237
237 - 245
245 - 253
253 - 261
261 - 269
No. of labourers
18
5
48
5
48
20
(iv)
Daily wage (in Rs)
221 - 229
229 - 237
237 - 245
245 - 253
253 - 261
261 - 269
No. of labourers
18
20
45
5
48
5
(v)
Daily wage (in Rs)
221 - 229
229 - 237
237 - 245
245 - 253
253 - 261
261 - 269
No. of labourers
18
20
48
8
48
5
Question
23
23.
Daily wages of 186 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
261 - 268
269 - 276
277 - 284
285 - 292
293 - 300
301 - 308
309 - 316
No. of labourers
45
5
20
41
11
44
20
(ii)
Daily wage (in Rs)
261 - 268
269 - 276
277 - 284
285 - 292
293 - 300
301 - 308
309 - 316
No. of labourers
45
20
20
43
11
44
5
(iii)
Daily wage (in Rs)
261 - 268
269 - 276
277 - 284
285 - 292
293 - 300
301 - 308
309 - 316
No. of labourers
45
20
20
41
11
44
5
(iv)
Daily wage (in Rs)
261 - 268
269 - 276
277 - 284
285 - 292
293 - 300
301 - 308
309 - 316
No. of labourers
45
20
15
41
11
44
5
Assignment Key
1) (iv)
2) (i)
3) (iii)
4) (iv)
5) (iv)
6) (v)
7) (ii)
8) (iii)
9) (ii)
10) (iii)
11) (i)
12) (iii)
13) (v)
14) (v)
15) (ii)
16) (v)
17) (iv)
18) (iii)
19) (v)
20) (iii)
21) (v)
22) (i)
23) (iii)
