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
14 - 23
24 - 33
34 - 43
44 - 53
54 - 63
64 - 73
74 - 83
84 - 93
Frequency
45
17
31
33
47
24
23
43
(ii)
Class-Interval
14 - 23
24 - 33
34 - 43
44 - 53
54 - 63
64 - 73
74 - 83
84 - 93
Frequency
45
17
31
33
45
24
23
43
(iii)
Class-Interval
14 - 23
24 - 33
34 - 43
44 - 53
54 - 63
64 - 73
74 - 83
84 - 93
Frequency
45
17
33
31
45
24
23
43
(iv)
Class-Interval
14 - 23
24 - 33
34 - 43
44 - 53
54 - 63
64 - 73
74 - 83
84 - 93
Frequency
45
17
36
33
45
24
23
43
(v)
Class-Interval
14 - 23
24 - 33
34 - 43
44 - 53
54 - 63
64 - 73
74 - 83
84 - 93
Frequency
45
43
31
33
45
24
23
17
Question
3
3.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
Frequency
44
22
31
16
39
27
11
(ii)
Class-Interval
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
Frequency
44
31
22
16
39
27
11
(iii)
Class-Interval
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
Frequency
44
31
22
20
39
27
11
(iv)
Class-Interval
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
Frequency
44
11
22
16
39
27
31
(v)
Class-Interval
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
Frequency
44
31
17
16
39
27
11
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)
43 - 51
52 - 60
61 - 69
70 - 78
79 - 87
88 - 96
No. of heart patients
6
18
21
7
27
18
(ii)
Age (in years)
43 - 51
52 - 60
61 - 69
70 - 78
79 - 87
88 - 96
No. of heart patients
6
18
21
4
27
18
(iii)
Age (in years)
43 - 51
52 - 60
61 - 69
70 - 78
79 - 87
88 - 96
No. of heart patients
6
18
18
7
27
18
(iv)
Age (in years)
43 - 51
52 - 60
61 - 69
70 - 78
79 - 87
88 - 96
No. of heart patients
6
21
18
7
27
18
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)
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
No. of heart patients
7
23
21
18
27
20
(ii)
Age (in years)
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
No. of heart patients
7
21
20
18
27
23
(iii)
Age (in years)
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
No. of heart patients
7
20
21
18
27
23
(iv)
Age (in years)
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
No. of heart patients
7
20
21
22
27
23
(v)
Age (in years)
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
No. of heart patients
7
20
16
18
27
23
Question
6
6.
Marks obtained by 104 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
25
16
22
4
16
5
11
(ii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
25
16
22
9
16
5
11
(iii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
25
16
19
9
16
5
11
(iv)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
25
22
16
9
16
5
11
(v)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
25
11
22
9
16
5
16
Question
7
7.
The daily pocket expenses of 94 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
No. of students
12
11
5
9
20
7
30
(ii)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
No. of students
12
30
11
9
20
7
5
(iii)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
No. of students
12
5
15
9
20
7
30
(iv)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
No. of students
12
5
11
9
20
7
30
(v)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
No. of students
12
5
11
5
20
7
30
Question
8
8.
Heights of 202 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
123 - 129
129 - 135
135 - 141
141 - 147
147 - 153
153 - 159
No. of students
24
43
46
20
41
30
(ii)
Height (in cm)
123 - 129
129 - 135
135 - 141
141 - 147
147 - 153
153 - 159
No. of students
24
44
43
20
41
30
(iii)
Height (in cm)
123 - 129
129 - 135
135 - 141
141 - 147
147 - 153
153 - 159
No. of students
24
30
44
20
41
43
(iv)
Height (in cm)
123 - 129
129 - 135
135 - 141
141 - 147
147 - 153
153 - 159
No. of students
24
43
44
16
41
30
(v)
Height (in cm)
123 - 129
129 - 135
135 - 141
141 - 147
147 - 153
153 - 159
No. of students
24
43
44
20
41
30
Question
9
9.
Heights of 165 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
128 - 134
135 - 141
142 - 148
149 - 155
156 - 162
163 - 169
170 - 176
177 - 183
No. of students
18
25
47
8
21
25
16
5
(ii)
Height (in cm)
128 - 134
135 - 141
142 - 148
149 - 155
156 - 162
163 - 169
170 - 176
177 - 183
No. of students
18
5
8
47
21
25
16
25
(iii)
Height (in cm)
128 - 134
135 - 141
142 - 148
149 - 155
156 - 162
163 - 169
170 - 176
177 - 183
No. of students
18
5
47
8
21
25
16
25
(iv)
Height (in cm)
128 - 134
135 - 141
142 - 148
149 - 155
156 - 162
163 - 169
170 - 176
177 - 183
No. of students
18
5
51
8
21
25
16
25
(v)
Height (in cm)
128 - 134
135 - 141
142 - 148
149 - 155
156 - 162
163 - 169
170 - 176
177 - 183
No. of students
18
5
47
8
24
25
16
25
Question
10
10.
Heights of 178 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
66 - 73
73 - 80
80 - 87
87 - 94
94 - 101
101 - 108
No. of plants
36
36
28
36
25
22
(ii)
Height (in cm)
66 - 73
73 - 80
80 - 87
87 - 94
94 - 101
101 - 108
No. of plants
36
36
23
41
25
22
(iii)
Height (in cm)
66 - 73
73 - 80
80 - 87
87 - 94
94 - 101
101 - 108
No. of plants
36
36
23
36
25
22
(iv)
Height (in cm)
66 - 73
73 - 80
80 - 87
87 - 94
94 - 101
101 - 108
No. of plants
36
23
36
36
25
22
(v)
Height (in cm)
66 - 73
73 - 80
80 - 87
87 - 94
94 - 101
101 - 108
No. of plants
36
22
23
36
25
36
Question
11
11.
Heights of 222 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
107 - 113
No. of plants
44
6
12
34
43
33
37
11
(ii)
Height (in cm)
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
107 - 113
No. of plants
44
6
14
34
43
33
37
11
(iii)
Height (in cm)
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
107 - 113
No. of plants
44
11
14
34
43
33
37
6
(iv)
Height (in cm)
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
107 - 113
No. of plants
44
6
14
34
45
33
37
11
(v)
Height (in cm)
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
107 - 113
No. of plants
44
6
34
14
43
33
37
11
Question
12
12.
Ages of 178 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
No. of students
6
34
46
15
10
13
50
(ii)
Age (in years)
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
No. of students
6
50
46
19
10
13
34
(iii)
Age (in years)
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
No. of students
6
46
34
19
10
13
50
(iv)
Age (in years)
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
No. of students
6
34
46
19
10
13
50
(v)
Age (in years)
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
No. of students
6
34
48
19
10
13
50
Question
13
13.
Ages of 198 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
11 - 16
17 - 22
23 - 28
29 - 34
35 - 40
41 - 46
47 - 52
53 - 58
No. of students
50
5
7
33
38
34
16
15
(ii)
Age (in years)
11 - 16
17 - 22
23 - 28
29 - 34
35 - 40
41 - 46
47 - 52
53 - 58
No. of students
50
5
33
7
38
34
16
15
(iii)
Age (in years)
11 - 16
17 - 22
23 - 28
29 - 34
35 - 40
41 - 46
47 - 52
53 - 58
No. of students
50
5
33
7
42
34
16
15
(iv)
Age (in years)
11 - 16
17 - 22
23 - 28
29 - 34
35 - 40
41 - 46
47 - 52
53 - 58
No. of students
50
5
37
7
38
34
16
15
(v)
Age (in years)
11 - 16
17 - 22
23 - 28
29 - 34
35 - 40
41 - 46
47 - 52
53 - 58
No. of students
50
15
33
7
38
34
16
5
Question
14
14.
Scores of 179 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
103 - 108
No. of students
18
41
30
9
39
42
(ii)
Score
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
103 - 108
No. of students
18
30
41
9
39
42
(iii)
Score
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
103 - 108
No. of students
18
42
41
9
39
30
(iv)
Score
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
103 - 108
No. of students
18
30
41
7
39
42
(v)
Score
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
103 - 108
No. of students
18
30
38
9
39
42
Question
15
15.
Scores of 250 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
81 - 89
90 - 98
99 - 107
108 - 116
117 - 125
126 - 134
135 - 143
144 - 152
No. of students
49
28
16
21
33
48
28
32
(ii)
Score
81 - 89
90 - 98
99 - 107
108 - 116
117 - 125
126 - 134
135 - 143
144 - 152
No. of students
49
28
11
21
33
48
28
32
(iii)
Score
81 - 89
90 - 98
99 - 107
108 - 116
117 - 125
126 - 134
135 - 143
144 - 152
No. of students
49
28
11
21
36
48
28
32
(iv)
Score
81 - 89
90 - 98
99 - 107
108 - 116
117 - 125
126 - 134
135 - 143
144 - 152
No. of students
49
32
11
21
33
48
28
28
(v)
Score
81 - 89
90 - 98
99 - 107
108 - 116
117 - 125
126 - 134
135 - 143
144 - 152
No. of students
49
28
21
11
33
48
28
32
Question
16
16.
Rainfall of 222 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
No. of days
40
35
10
27
23
26
31
33
(ii)
Rainfall (in mm)
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
No. of days
40
35
10
27
20
26
31
33
(iii)
Rainfall (in mm)
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
No. of days
40
33
10
27
20
26
31
35
(iv)
Rainfall (in mm)
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
No. of days
40
35
27
10
20
26
31
33
(v)
Rainfall (in mm)
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
No. of days
40
35
12
27
20
26
31
33
Question
17
17.
Rainfall of 155 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
6 - 15
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
76 - 85
No. of days
19
11
13
6
36
5
29
36
(ii)
Rainfall (in mm)
6 - 15
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
76 - 85
No. of days
19
11
16
6
36
5
29
36
(iii)
Rainfall (in mm)
6 - 15
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
76 - 85
No. of days
19
11
13
6
34
5
29
36
(iv)
Rainfall (in mm)
6 - 15
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
76 - 85
No. of days
19
36
13
6
36
5
29
11
(v)
Rainfall (in mm)
6 - 15
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
76 - 85
No. of days
19
11
6
13
36
5
29
36
Question
18
18.
Temperatures of 205 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
No. of days
14
44
49
29
27
38
(ii)
Temperature (in degree)
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
No. of days
14
49
44
33
27
38
(iii)
Temperature (in degree)
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
No. of days
14
38
49
33
27
44
(iv)
Temperature (in degree)
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
No. of days
14
44
46
33
27
38
(v)
Temperature (in degree)
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
No. of days
14
44
49
33
27
38
Question
19
19.
Temperatures of 105 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
28 - 35
36 - 43
44 - 51
52 - 59
60 - 67
No. of days
42
9
30
18
9
(ii)
Temperature (in degree)
28 - 35
36 - 43
44 - 51
52 - 59
60 - 67
No. of days
42
6
27
18
9
(iii)
Temperature (in degree)
28 - 35
36 - 43
44 - 51
52 - 59
60 - 67
No. of days
42
6
30
18
9
(iv)
Temperature (in degree)
28 - 35
36 - 43
44 - 51
52 - 59
60 - 67
No. of days
42
9
30
18
6
(v)
Temperature (in degree)
28 - 35
36 - 43
44 - 51
52 - 59
60 - 67
No. of days
42
30
6
18
9
Question
20
20.
Weights of 175 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
93 - 102
102 - 111
111 - 120
No. of students
29
50
11
6
10
32
15
22
(ii)
Weight (in kg)
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
93 - 102
102 - 111
111 - 120
No. of students
29
22
11
6
10
32
15
50
(iii)
Weight (in kg)
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
93 - 102
102 - 111
111 - 120
No. of students
29
22
11
6
7
32
15
50
(iv)
Weight (in kg)
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
93 - 102
102 - 111
111 - 120
No. of students
29
22
6
11
10
32
15
50
(v)
Weight (in kg)
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
93 - 102
102 - 111
111 - 120
No. of students
29
22
13
6
10
32
15
50
Question
21
21.
Weights of 137 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
51 - 57
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
No. of students
22
37
26
7
12
11
8
14
(ii)
Weight (in kg)
51 - 57
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
No. of students
22
14
7
26
12
11
8
37
(iii)
Weight (in kg)
51 - 57
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
No. of students
22
14
26
7
9
11
8
37
(iv)
Weight (in kg)
51 - 57
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
No. of students
22
14
26
7
12
11
8
37
(v)
Weight (in kg)
51 - 57
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
No. of students
22
14
24
7
12
11
8
37
Question
22
22.
Daily wages of 221 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
273 - 283
283 - 293
293 - 303
303 - 313
313 - 323
323 - 333
333 - 343
343 - 353
No. of labourers
13
25
13
25
55
24
26
45
(ii)
Daily wage (in Rs)
273 - 283
283 - 293
293 - 303
303 - 313
313 - 323
323 - 333
333 - 343
343 - 353
No. of labourers
13
25
13
25
50
24
26
45
(iii)
Daily wage (in Rs)
273 - 283
283 - 293
293 - 303
303 - 313
313 - 323
323 - 333
333 - 343
343 - 353
No. of labourers
13
25
25
13
50
24
26
45
(iv)
Daily wage (in Rs)
273 - 283
283 - 293
293 - 303
303 - 313
313 - 323
323 - 333
333 - 343
343 - 353
No. of labourers
13
25
9
25
50
24
26
45
(v)
Daily wage (in Rs)
273 - 283
283 - 293
293 - 303
303 - 313
313 - 323
323 - 333
333 - 343
343 - 353
No. of labourers
13
45
13
25
50
24
26
25
Question
23
23.
Daily wages of 211 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
238 - 245
246 - 253
254 - 261
262 - 269
270 - 277
278 - 285
286 - 293
294 - 301
No. of labourers
31
32
37
24
17
6
33
33
(ii)
Daily wage (in Rs)
238 - 245
246 - 253
254 - 261
262 - 269
270 - 277
278 - 285
286 - 293
294 - 301
No. of labourers
31
32
35
24
22
6
33
33
(iii)
Daily wage (in Rs)
238 - 245
246 - 253
254 - 261
262 - 269
270 - 277
278 - 285
286 - 293
294 - 301
No. of labourers
31
32
24
35
17
6
33
33
(iv)
Daily wage (in Rs)
238 - 245
246 - 253
254 - 261
262 - 269
270 - 277
278 - 285
286 - 293
294 - 301
No. of labourers
31
33
35
24
17
6
33
32
(v)
Daily wage (in Rs)
238 - 245
246 - 253
254 - 261
262 - 269
270 - 277
278 - 285
286 - 293
294 - 301
No. of labourers
31
32
35
24
17
6
33
33
Assignment Key
1) (iv)
2) (ii)
3) (ii)
4) (i)
5) (iii)
6) (ii)
7) (iv)
8) (v)
9) (iii)
10) (iii)
11) (ii)
12) (iv)
13) (ii)
14) (ii)
15) (ii)
16) (ii)
17) (i)
18) (v)
19) (iii)
20) (ii)
21) (iv)
22) (ii)
23) (v)
