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)
upper boundaries of classes and cumulative frequencies
(iii)
mid point of classes and frequencies
(iv)
lower boundaries of classes and greater than cumulative frequencies
Question
2
2.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
Frequency
22
17
11
38
30
(ii)
Class-Interval
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
Frequency
22
30
17
38
11
(iii)
Class-Interval
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
Frequency
22
11
17
38
30
(iv)
Class-Interval
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
Frequency
22
11
13
38
30
(v)
Class-Interval
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
Frequency
22
14
17
38
30
Question
3
3.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
Frequency
13
40
30
31
37
40
41
47
(ii)
Class-Interval
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
Frequency
13
40
30
31
39
40
41
47
(iii)
Class-Interval
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
Frequency
13
40
32
31
39
40
41
47
(iv)
Class-Interval
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
Frequency
13
40
31
30
39
40
41
47
(v)
Class-Interval
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
Frequency
13
47
30
31
39
40
41
40
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)
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
54 - 61
62 - 69
No. of heart patients
25
23
27
9
18
23
30
(ii)
Age (in years)
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
54 - 61
62 - 69
No. of heart patients
25
30
27
9
18
23
23
(iii)
Age (in years)
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
54 - 61
62 - 69
No. of heart patients
25
27
30
9
18
23
23
(iv)
Age (in years)
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
54 - 61
62 - 69
No. of heart patients
25
30
27
5
18
23
23
(v)
Age (in years)
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
54 - 61
62 - 69
No. of heart patients
25
30
31
9
18
23
23
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)
45 - 55
55 - 65
65 - 75
75 - 85
85 - 95
95 - 105
105 - 115
115 - 125
No. of heart patients
20
8
27
29
12
23
29
12
(ii)
Age (in years)
45 - 55
55 - 65
65 - 75
75 - 85
85 - 95
95 - 105
105 - 115
115 - 125
No. of heart patients
20
8
27
29
7
23
29
12
(iii)
Age (in years)
45 - 55
55 - 65
65 - 75
75 - 85
85 - 95
95 - 105
105 - 115
115 - 125
No. of heart patients
20
12
27
29
7
23
29
8
(iv)
Age (in years)
45 - 55
55 - 65
65 - 75
75 - 85
85 - 95
95 - 105
105 - 115
115 - 125
No. of heart patients
20
8
29
27
7
23
29
12
(v)
Age (in years)
45 - 55
55 - 65
65 - 75
75 - 85
85 - 95
95 - 105
105 - 115
115 - 125
No. of heart patients
20
8
30
29
7
23
29
12
Question
6
6.
Marks obtained by 90 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
No. of students
14
10
18
30
10
10
(ii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
No. of students
14
16
10
30
10
10
(iii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
No. of students
14
10
16
30
10
10
(iv)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
No. of students
14
10
16
28
10
10
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 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
26
8
13
13
19
5
7
7
(ii)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
26
7
13
13
15
5
7
8
(iii)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
26
8
16
13
15
5
7
7
(iv)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
26
8
13
13
15
5
7
7
Question
8
8.
Heights of 220 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
121 - 127
127 - 133
133 - 139
139 - 145
145 - 151
151 - 157
157 - 163
163 - 169
No. of students
17
21
38
26
38
13
19
48
(ii)
Height (in cm)
121 - 127
127 - 133
133 - 139
139 - 145
145 - 151
151 - 157
157 - 163
163 - 169
No. of students
17
48
38
26
41
13
19
21
(iii)
Height (in cm)
121 - 127
127 - 133
133 - 139
139 - 145
145 - 151
151 - 157
157 - 163
163 - 169
No. of students
17
48
38
26
38
13
19
21
(iv)
Height (in cm)
121 - 127
127 - 133
133 - 139
139 - 145
145 - 151
151 - 157
157 - 163
163 - 169
No. of students
17
48
34
26
38
13
19
21
(v)
Height (in cm)
121 - 127
127 - 133
133 - 139
139 - 145
145 - 151
151 - 157
157 - 163
163 - 169
No. of students
17
48
26
38
38
13
19
21
Question
9
9.
Heights of 101 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
126 - 132
133 - 139
140 - 146
147 - 153
154 - 160
No. of students
35
14
19
22
11
(ii)
Height (in cm)
126 - 132
133 - 139
140 - 146
147 - 153
154 - 160
No. of students
35
21
14
22
11
(iii)
Height (in cm)
126 - 132
133 - 139
140 - 146
147 - 153
154 - 160
No. of students
35
19
19
22
11
(iv)
Height (in cm)
126 - 132
133 - 139
140 - 146
147 - 153
154 - 160
No. of students
35
11
14
22
19
(v)
Height (in cm)
126 - 132
133 - 139
140 - 146
147 - 153
154 - 160
No. of students
35
19
14
22
11
Question
10
10.
Heights of 193 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
No. of plants
49
47
23
40
34
(ii)
Height (in cm)
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
No. of plants
49
23
47
40
34
(iii)
Height (in cm)
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
No. of plants
49
23
51
40
34
(iv)
Height (in cm)
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
No. of plants
49
20
47
40
34
(v)
Height (in cm)
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
No. of plants
49
34
47
40
23
Question
11
11.
Heights of 152 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
67 - 74
75 - 82
83 - 90
91 - 98
99 - 106
107 - 114
No. of plants
10
23
41
16
50
9
(ii)
Height (in cm)
67 - 74
75 - 82
83 - 90
91 - 98
99 - 106
107 - 114
No. of plants
10
23
41
19
50
9
(iii)
Height (in cm)
67 - 74
75 - 82
83 - 90
91 - 98
99 - 106
107 - 114
No. of plants
10
23
38
19
50
9
(iv)
Height (in cm)
67 - 74
75 - 82
83 - 90
91 - 98
99 - 106
107 - 114
No. of plants
10
9
41
19
50
23
(v)
Height (in cm)
67 - 74
75 - 82
83 - 90
91 - 98
99 - 106
107 - 114
No. of plants
10
41
23
19
50
9
Question
12
12.
Ages of 139 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
16 - 25
25 - 34
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
No. of students
41
28
11
13
20
20
9
(ii)
Age (in years)
16 - 25
25 - 34
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
No. of students
41
28
8
13
20
20
9
(iii)
Age (in years)
16 - 25
25 - 34
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
No. of students
41
9
8
13
20
20
28
(iv)
Age (in years)
16 - 25
25 - 34
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
No. of students
41
28
8
15
20
20
9
(v)
Age (in years)
16 - 25
25 - 34
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
No. of students
41
8
28
13
20
20
9
Question
13
13.
Ages of 118 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
No. of students
44
9
37
18
10
(ii)
Age (in years)
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
No. of students
44
5
37
18
9
(iii)
Age (in years)
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
No. of students
44
37
10
18
9
(iv)
Age (in years)
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
No. of students
44
10
42
18
9
(v)
Age (in years)
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
No. of students
44
10
37
18
9
Question
14
14.
Scores of 231 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
90 - 97
97 - 104
104 - 111
111 - 118
118 - 125
125 - 132
132 - 139
139 - 146
No. of students
42
15
33
39
29
18
7
44
(ii)
Score
90 - 97
97 - 104
104 - 111
111 - 118
118 - 125
125 - 132
132 - 139
139 - 146
No. of students
42
44
37
39
29
18
7
15
(iii)
Score
90 - 97
97 - 104
104 - 111
111 - 118
118 - 125
125 - 132
132 - 139
139 - 146
No. of students
42
15
39
37
29
18
7
44
(iv)
Score
90 - 97
97 - 104
104 - 111
111 - 118
118 - 125
125 - 132
132 - 139
139 - 146
No. of students
42
15
37
39
29
18
7
44
(v)
Score
90 - 97
97 - 104
104 - 111
111 - 118
118 - 125
125 - 132
132 - 139
139 - 146
No. of students
42
15
37
39
25
18
7
44
Question
15
15.
Scores of 277 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
85 - 91
92 - 98
99 - 105
106 - 112
113 - 119
120 - 126
127 - 133
No. of students
30
49
35
18
49
43
49
(ii)
Score
85 - 91
92 - 98
99 - 105
106 - 112
113 - 119
120 - 126
127 - 133
No. of students
30
49
38
22
49
43
49
(iii)
Score
85 - 91
92 - 98
99 - 105
106 - 112
113 - 119
120 - 126
127 - 133
No. of students
30
49
35
22
49
43
49
(iv)
Score
85 - 91
92 - 98
99 - 105
106 - 112
113 - 119
120 - 126
127 - 133
No. of students
30
35
49
22
49
43
49
Question
16
16.
Rainfall of 162 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
8 - 17
17 - 26
26 - 35
35 - 44
44 - 53
53 - 62
62 - 71
No. of days
34
7
20
38
9
12
42
(ii)
Rainfall (in mm)
8 - 17
17 - 26
26 - 35
35 - 44
44 - 53
53 - 62
62 - 71
No. of days
34
7
20
42
9
12
42
(iii)
Rainfall (in mm)
8 - 17
17 - 26
26 - 35
35 - 44
44 - 53
53 - 62
62 - 71
No. of days
34
42
20
38
9
12
7
(iv)
Rainfall (in mm)
8 - 17
17 - 26
26 - 35
35 - 44
44 - 53
53 - 62
62 - 71
No. of days
34
20
7
38
9
12
42
(v)
Rainfall (in mm)
8 - 17
17 - 26
26 - 35
35 - 44
44 - 53
53 - 62
62 - 71
No. of days
34
7
15
38
9
12
42
Question
17
17.
Rainfall of 214 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
11 - 16
17 - 22
23 - 28
29 - 34
35 - 40
41 - 46
47 - 52
53 - 58
No. of days
9
34
17
13
34
43
32
32
(ii)
Rainfall (in mm)
11 - 16
17 - 22
23 - 28
29 - 34
35 - 40
41 - 46
47 - 52
53 - 58
No. of days
9
32
17
13
34
43
32
34
(iii)
Rainfall (in mm)
11 - 16
17 - 22
23 - 28
29 - 34
35 - 40
41 - 46
47 - 52
53 - 58
No. of days
9
34
21
13
34
43
32
32
(iv)
Rainfall (in mm)
11 - 16
17 - 22
23 - 28
29 - 34
35 - 40
41 - 46
47 - 52
53 - 58
No. of days
9
34
17
13
36
43
32
32
(v)
Rainfall (in mm)
11 - 16
17 - 22
23 - 28
29 - 34
35 - 40
41 - 46
47 - 52
53 - 58
No. of days
9
34
13
17
34
43
32
32
Question
18
18.
Temperatures of 112 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
66 - 73
73 - 80
No. of days
10
20
11
9
8
49
5
(ii)
Temperature (in degree)
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
66 - 73
73 - 80
No. of days
10
11
20
9
8
49
5
(iii)
Temperature (in degree)
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
66 - 73
73 - 80
No. of days
10
11
20
11
8
49
5
(iv)
Temperature (in degree)
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
66 - 73
73 - 80
No. of days
10
11
22
9
8
49
5
(v)
Temperature (in degree)
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
66 - 73
73 - 80
No. of days
10
5
20
9
8
49
11
Question
19
19.
Temperatures of 156 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
No. of days
39
13
29
30
50
(ii)
Temperature (in degree)
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
No. of days
39
50
24
30
13
(iii)
Temperature (in degree)
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
No. of days
39
24
13
30
50
(iv)
Temperature (in degree)
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
No. of days
39
17
24
30
50
(v)
Temperature (in degree)
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
No. of days
39
13
24
30
50
Question
20
20.
Weights of 164 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
46 - 56
56 - 66
66 - 76
76 - 86
86 - 96
96 - 106
106 - 116
No. of students
31
10
38
47
15
6
17
(ii)
Weight (in kg)
46 - 56
56 - 66
66 - 76
76 - 86
86 - 96
96 - 106
106 - 116
No. of students
31
38
17
47
15
6
10
(iii)
Weight (in kg)
46 - 56
56 - 66
66 - 76
76 - 86
86 - 96
96 - 106
106 - 116
No. of students
31
17
38
47
15
6
10
(iv)
Weight (in kg)
46 - 56
56 - 66
66 - 76
76 - 86
86 - 96
96 - 106
106 - 116
No. of students
31
17
42
47
15
6
10
(v)
Weight (in kg)
46 - 56
56 - 66
66 - 76
76 - 86
86 - 96
96 - 106
106 - 116
No. of students
31
17
38
49
15
6
10
Question
21
21.
Weights of 98 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
42 - 51
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
No. of students
13
9
6
32
31
7
(ii)
Weight (in kg)
42 - 51
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
No. of students
13
6
9
37
31
7
(iii)
Weight (in kg)
42 - 51
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
No. of students
13
7
9
32
31
6
(iv)
Weight (in kg)
42 - 51
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
No. of students
13
6
6
32
31
7
(v)
Weight (in kg)
42 - 51
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
No. of students
13
6
9
32
31
7
Question
22
22.
Daily wages of 131 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
258 - 263
263 - 268
268 - 273
273 - 278
278 - 283
No. of labourers
14
5
37
37
36
(ii)
Daily wage (in Rs)
258 - 263
263 - 268
268 - 273
273 - 278
278 - 283
No. of labourers
14
7
37
37
36
(iii)
Daily wage (in Rs)
258 - 263
263 - 268
268 - 273
273 - 278
278 - 283
No. of labourers
14
37
7
37
36
(iv)
Daily wage (in Rs)
258 - 263
263 - 268
268 - 273
273 - 278
278 - 283
No. of labourers
14
7
39
37
36
(v)
Daily wage (in Rs)
258 - 263
263 - 268
268 - 273
273 - 278
278 - 283
No. of labourers
14
36
37
37
7
Question
23
23.
Daily wages of 154 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
210 - 220
221 - 231
232 - 242
243 - 253
254 - 264
No. of labourers
22
38
36
17
41
(ii)
Daily wage (in Rs)
210 - 220
221 - 231
232 - 242
243 - 253
254 - 264
No. of labourers
22
36
42
17
41
(iii)
Daily wage (in Rs)
210 - 220
221 - 231
232 - 242
243 - 253
254 - 264
No. of labourers
22
34
38
17
41
(iv)
Daily wage (in Rs)
210 - 220
221 - 231
232 - 242
243 - 253
254 - 264
No. of labourers
22
41
38
17
36
(v)
Daily wage (in Rs)
210 - 220
221 - 231
232 - 242
243 - 253
254 - 264
No. of labourers
22
36
38
17
41
Assignment Key
1) (iii)
2) (iii)
3) (ii)
4) (ii)
5) (ii)
6) (iii)
7) (iv)
8) (iii)
9) (v)
10) (ii)
11) (ii)
12) (ii)
13) (v)
14) (iv)
15) (iii)
16) (i)
17) (i)
18) (ii)
19) (v)
20) (iii)
21) (v)
22) (ii)
23) (v)
