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)
mid point of classes and frequencies
(ii)
end points of classes and frequencies
(iii)
lower boundaries of classes and greater than cumulative 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
47 - 55
56 - 64
65 - 73
74 - 82
83 - 91
92 - 100
101 - 109
110 - 118
Frequency
13
25
49
11
20
39
30
19
(ii)
Class-Interval
47 - 55
56 - 64
65 - 73
74 - 82
83 - 91
92 - 100
101 - 109
110 - 118
Frequency
13
19
47
11
20
39
30
25
(iii)
Class-Interval
47 - 55
56 - 64
65 - 73
74 - 82
83 - 91
92 - 100
101 - 109
110 - 118
Frequency
13
19
11
49
20
39
30
25
(iv)
Class-Interval
47 - 55
56 - 64
65 - 73
74 - 82
83 - 91
92 - 100
101 - 109
110 - 118
Frequency
13
19
49
11
15
39
30
25
(v)
Class-Interval
47 - 55
56 - 64
65 - 73
74 - 82
83 - 91
92 - 100
101 - 109
110 - 118
Frequency
13
19
49
11
20
39
30
25
Question
3
3.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
34 - 40
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
Frequency
42
46
36
34
35
26
21
(ii)
Class-Interval
34 - 40
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
Frequency
42
21
39
34
35
26
46
(iii)
Class-Interval
34 - 40
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
Frequency
42
36
21
34
35
26
46
(iv)
Class-Interval
34 - 40
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
Frequency
42
21
36
34
35
26
46
(v)
Class-Interval
34 - 40
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
Frequency
42
21
36
37
35
26
46
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)
18 - 27
28 - 37
38 - 47
48 - 57
58 - 67
No. of heart patients
7
19
25
6
29
(ii)
Age (in years)
18 - 27
28 - 37
38 - 47
48 - 57
58 - 67
No. of heart patients
7
28
19
6
29
(iii)
Age (in years)
18 - 27
28 - 37
38 - 47
48 - 57
58 - 67
No. of heart patients
7
19
28
6
29
(iv)
Age (in years)
18 - 27
28 - 37
38 - 47
48 - 57
58 - 67
No. of heart patients
7
29
28
6
19
(v)
Age (in years)
18 - 27
28 - 37
38 - 47
48 - 57
58 - 67
No. of heart patients
7
23
28
6
29
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)
48 - 53
53 - 58
58 - 63
63 - 68
68 - 73
73 - 78
No. of heart patients
10
18
6
10
5
21
(ii)
Age (in years)
48 - 53
53 - 58
58 - 63
63 - 68
68 - 73
73 - 78
No. of heart patients
10
6
21
10
5
18
(iii)
Age (in years)
48 - 53
53 - 58
58 - 63
63 - 68
68 - 73
73 - 78
No. of heart patients
10
21
6
10
5
18
(iv)
Age (in years)
48 - 53
53 - 58
58 - 63
63 - 68
68 - 73
73 - 78
No. of heart patients
10
21
6
8
5
18
(v)
Age (in years)
48 - 53
53 - 58
58 - 63
63 - 68
68 - 73
73 - 78
No. of heart patients
10
21
2
10
5
18
Question
6
6.
Marks obtained by 100 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
No. of students
27
16
8
19
30
(ii)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
No. of students
27
8
16
19
30
(iii)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
No. of students
27
8
20
19
30
(iv)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
No. of students
27
3
16
19
30
(v)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
No. of students
27
30
16
19
8
Question
7
7.
The daily pocket expenses of 156 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
30
17
5
29
15
22
22
16
(ii)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
30
17
33
5
15
22
22
16
(iii)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
30
17
29
5
10
22
22
16
(iv)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
30
17
29
5
15
22
22
16
(v)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
30
16
29
5
15
22
22
17
Question
8
8.
Heights of 235 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
125 - 133
133 - 141
141 - 149
149 - 157
157 - 165
165 - 173
No. of students
47
18
45
47
34
49
(ii)
Height (in cm)
125 - 133
133 - 141
141 - 149
149 - 157
157 - 165
165 - 173
No. of students
47
45
18
42
34
49
(iii)
Height (in cm)
125 - 133
133 - 141
141 - 149
149 - 157
157 - 165
165 - 173
No. of students
47
18
45
42
34
49
(iv)
Height (in cm)
125 - 133
133 - 141
141 - 149
149 - 157
157 - 165
165 - 173
No. of students
47
18
47
42
34
49
(v)
Height (in cm)
125 - 133
133 - 141
141 - 149
149 - 157
157 - 165
165 - 173
No. of students
47
49
45
42
34
18
Question
9
9.
Heights of 216 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
130 - 139
140 - 149
150 - 159
160 - 169
170 - 179
180 - 189
190 - 199
200 - 209
No. of students
15
49
20
8
36
48
8
28
(ii)
Height (in cm)
130 - 139
140 - 149
150 - 159
160 - 169
170 - 179
180 - 189
190 - 199
200 - 209
No. of students
15
49
20
8
40
48
8
28
(iii)
Height (in cm)
130 - 139
140 - 149
150 - 159
160 - 169
170 - 179
180 - 189
190 - 199
200 - 209
No. of students
15
28
20
8
40
48
8
49
(iv)
Height (in cm)
130 - 139
140 - 149
150 - 159
160 - 169
170 - 179
180 - 189
190 - 199
200 - 209
No. of students
15
49
18
8
40
48
8
28
(v)
Height (in cm)
130 - 139
140 - 149
150 - 159
160 - 169
170 - 179
180 - 189
190 - 199
200 - 209
No. of students
15
49
8
20
40
48
8
28
Question
10
10.
Heights of 144 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
60 - 66
66 - 72
72 - 78
78 - 84
84 - 90
90 - 96
96 - 102
No. of plants
32
13
11
33
7
20
28
(ii)
Height (in cm)
60 - 66
66 - 72
72 - 78
78 - 84
84 - 90
90 - 96
96 - 102
No. of plants
32
11
13
37
7
20
28
(iii)
Height (in cm)
60 - 66
66 - 72
72 - 78
78 - 84
84 - 90
90 - 96
96 - 102
No. of plants
32
11
8
33
7
20
28
(iv)
Height (in cm)
60 - 66
66 - 72
72 - 78
78 - 84
84 - 90
90 - 96
96 - 102
No. of plants
32
11
13
33
7
20
28
(v)
Height (in cm)
60 - 66
66 - 72
72 - 78
78 - 84
84 - 90
90 - 96
96 - 102
No. of plants
32
28
13
33
7
20
11
Question
11
11.
Heights of 197 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
66 - 73
74 - 81
82 - 89
90 - 97
98 - 105
106 - 113
No. of plants
39
21
30
43
28
36
(ii)
Height (in cm)
66 - 73
74 - 81
82 - 89
90 - 97
98 - 105
106 - 113
No. of plants
39
36
21
43
28
30
(iii)
Height (in cm)
66 - 73
74 - 81
82 - 89
90 - 97
98 - 105
106 - 113
No. of plants
39
30
21
48
28
36
(iv)
Height (in cm)
66 - 73
74 - 81
82 - 89
90 - 97
98 - 105
106 - 113
No. of plants
39
30
25
43
28
36
(v)
Height (in cm)
66 - 73
74 - 81
82 - 89
90 - 97
98 - 105
106 - 113
No. of plants
39
30
21
43
28
36
Question
12
12.
Ages of 204 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
No. of students
17
5
29
20
49
10
26
48
(ii)
Age (in years)
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
No. of students
17
48
29
20
49
10
26
5
(iii)
Age (in years)
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
No. of students
17
48
34
20
49
10
26
5
(iv)
Age (in years)
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
No. of students
17
48
20
29
49
10
26
5
(v)
Age (in years)
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
No. of students
17
48
29
20
45
10
26
5
Question
13
13.
Ages of 206 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
12 - 22
23 - 33
34 - 44
45 - 55
56 - 66
67 - 77
No. of students
40
28
46
38
27
27
(ii)
Age (in years)
12 - 22
23 - 33
34 - 44
45 - 55
56 - 66
67 - 77
No. of students
40
46
27
38
27
28
(iii)
Age (in years)
12 - 22
23 - 33
34 - 44
45 - 55
56 - 66
67 - 77
No. of students
40
27
46
34
27
28
(iv)
Age (in years)
12 - 22
23 - 33
34 - 44
45 - 55
56 - 66
67 - 77
No. of students
40
27
49
38
27
28
(v)
Age (in years)
12 - 22
23 - 33
34 - 44
45 - 55
56 - 66
67 - 77
No. of students
40
27
46
38
27
28
Question
14
14.
Scores of 188 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
72 - 82
82 - 92
92 - 102
102 - 112
112 - 122
122 - 132
No. of students
40
46
43
18
6
35
(ii)
Score
72 - 82
82 - 92
92 - 102
102 - 112
112 - 122
122 - 132
No. of students
40
43
46
18
6
35
(iii)
Score
72 - 82
82 - 92
92 - 102
102 - 112
112 - 122
122 - 132
No. of students
40
46
43
20
6
35
(iv)
Score
72 - 82
82 - 92
92 - 102
102 - 112
112 - 122
122 - 132
No. of students
40
35
43
18
6
46
(v)
Score
72 - 82
82 - 92
92 - 102
102 - 112
112 - 122
122 - 132
No. of students
40
46
39
18
6
35
Question
15
15.
Scores of 147 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
83 - 92
93 - 102
103 - 112
113 - 122
123 - 132
No. of students
28
30
15
43
33
(ii)
Score
83 - 92
93 - 102
103 - 112
113 - 122
123 - 132
No. of students
28
15
28
43
33
(iii)
Score
83 - 92
93 - 102
103 - 112
113 - 122
123 - 132
No. of students
28
33
15
43
28
(iv)
Score
83 - 92
93 - 102
103 - 112
113 - 122
123 - 132
No. of students
28
28
18
43
33
(v)
Score
83 - 92
93 - 102
103 - 112
113 - 122
123 - 132
No. of students
28
28
15
43
33
Question
16
16.
Rainfall of 250 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
9 - 15
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
No. of days
47
38
32
19
42
19
29
22
(ii)
Rainfall (in mm)
9 - 15
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
No. of days
47
22
32
19
44
19
29
38
(iii)
Rainfall (in mm)
9 - 15
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
No. of days
47
38
27
19
44
19
29
22
(iv)
Rainfall (in mm)
9 - 15
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
No. of days
47
38
19
32
44
19
29
22
(v)
Rainfall (in mm)
9 - 15
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
No. of days
47
38
32
19
44
19
29
22
Question
17
17.
Rainfall of 197 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
5 - 12
13 - 20
21 - 28
29 - 36
37 - 44
45 - 52
53 - 60
No. of days
18
21
45
13
38
21
45
(ii)
Rainfall (in mm)
5 - 12
13 - 20
21 - 28
29 - 36
37 - 44
45 - 52
53 - 60
No. of days
18
21
45
9
38
21
45
(iii)
Rainfall (in mm)
5 - 12
13 - 20
21 - 28
29 - 36
37 - 44
45 - 52
53 - 60
No. of days
18
45
21
9
38
21
45
(iv)
Rainfall (in mm)
5 - 12
13 - 20
21 - 28
29 - 36
37 - 44
45 - 52
53 - 60
No. of days
18
45
45
9
38
21
21
(v)
Rainfall (in mm)
5 - 12
13 - 20
21 - 28
29 - 36
37 - 44
45 - 52
53 - 60
No. of days
18
21
41
9
38
21
45
Question
18
18.
Temperatures of 200 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
No. of days
45
19
45
46
45
(ii)
Temperature (in degree)
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
No. of days
45
41
19
46
45
(iii)
Temperature (in degree)
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
No. of days
45
45
16
46
45
(iv)
Temperature (in degree)
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
No. of days
45
45
19
46
45
Question
19
19.
Temperatures of 172 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
No. of days
19
20
23
30
40
40
(ii)
Temperature (in degree)
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
No. of days
19
40
23
30
40
20
(iii)
Temperature (in degree)
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
No. of days
19
20
23
35
40
40
(iv)
Temperature (in degree)
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
No. of days
19
20
26
30
40
40
(v)
Temperature (in degree)
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
No. of days
19
23
20
30
40
40
Question
20
20.
Weights of 195 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
No. of students
38
21
7
49
37
43
(ii)
Weight (in kg)
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
No. of students
38
43
7
49
37
21
(iii)
Weight (in kg)
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
No. of students
38
7
43
49
37
21
(iv)
Weight (in kg)
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
No. of students
38
43
2
49
37
21
(v)
Weight (in kg)
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
No. of students
38
43
7
53
37
21
Question
21
21.
Weights of 176 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
53 - 62
63 - 72
73 - 82
83 - 92
93 - 102
No. of students
34
33
31
28
50
(ii)
Weight (in kg)
53 - 62
63 - 72
73 - 82
83 - 92
93 - 102
No. of students
34
31
30
28
50
(iii)
Weight (in kg)
53 - 62
63 - 72
73 - 82
83 - 92
93 - 102
No. of students
34
28
33
28
50
(iv)
Weight (in kg)
53 - 62
63 - 72
73 - 82
83 - 92
93 - 102
No. of students
34
31
33
28
50
(v)
Weight (in kg)
53 - 62
63 - 72
73 - 82
83 - 92
93 - 102
No. of students
34
50
33
28
31
Question
22
22.
Daily wages of 135 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
275 - 284
284 - 293
293 - 302
302 - 311
311 - 320
320 - 329
329 - 338
No. of labourers
20
13
37
9
14
11
31
(ii)
Daily wage (in Rs)
275 - 284
284 - 293
293 - 302
302 - 311
311 - 320
320 - 329
329 - 338
No. of labourers
20
31
37
7
14
11
13
(iii)
Daily wage (in Rs)
275 - 284
284 - 293
293 - 302
302 - 311
311 - 320
320 - 329
329 - 338
No. of labourers
20
31
37
9
14
11
13
(iv)
Daily wage (in Rs)
275 - 284
284 - 293
293 - 302
302 - 311
311 - 320
320 - 329
329 - 338
No. of labourers
20
37
31
9
14
11
13
(v)
Daily wage (in Rs)
275 - 284
284 - 293
293 - 302
302 - 311
311 - 320
320 - 329
329 - 338
No. of labourers
20
31
34
9
14
11
13
Question
23
23.
Daily wages of 130 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
261 - 269
270 - 278
279 - 287
288 - 296
297 - 305
No. of labourers
33
27
40
19
15
(ii)
Daily wage (in Rs)
261 - 269
270 - 278
279 - 287
288 - 296
297 - 305
No. of labourers
33
23
43
19
15
(iii)
Daily wage (in Rs)
261 - 269
270 - 278
279 - 287
288 - 296
297 - 305
No. of labourers
33
23
40
19
15
(iv)
Daily wage (in Rs)
261 - 269
270 - 278
279 - 287
288 - 296
297 - 305
No. of labourers
33
15
40
19
23
(v)
Daily wage (in Rs)
261 - 269
270 - 278
279 - 287
288 - 296
297 - 305
No. of labourers
33
40
23
19
15
Assignment Key
1) (i)
2) (v)
3) (iv)
4) (iii)
5) (iii)
6) (ii)
7) (iv)
8) (iii)
9) (ii)
10) (iv)
11) (v)
12) (ii)
13) (v)
14) (i)
15) (v)
16) (v)
17) (ii)
18) (iv)
19) (i)
20) (ii)
21) (iv)
22) (iii)
23) (iii)
