EduSahara™ Assignment
Name : Frequency Polygon
Chapter : Graphical Representation of Statistical Data
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
Frequency
44
29
11
25
25
23
31
(ii)
Class-Interval
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
Frequency
44
29
14
21
25
23
31
(iii)
Class-Interval
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
Frequency
44
29
11
21
25
23
31
(iv)
Class-Interval
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
Frequency
44
11
29
21
25
23
31
(v)
Class-Interval
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
Frequency
44
31
11
21
25
23
29
Question
2
2.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
12 - 19
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
Frequency
23
40
12
44
33
42
(ii)
Class-Interval
12 - 19
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
Frequency
23
12
40
47
33
42
(iii)
Class-Interval
12 - 19
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
Frequency
23
40
12
47
33
42
(iv)
Class-Interval
12 - 19
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
Frequency
23
40
7
47
33
42
(v)
Class-Interval
12 - 19
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
Frequency
23
42
12
47
33
40
Question
3
3.
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
22
8
28
6
7
(ii)
Age (in years)
18 - 27
28 - 37
38 - 47
48 - 57
58 - 67
No. of heart patients
22
8
33
6
7
(iii)
Age (in years)
18 - 27
28 - 37
38 - 47
48 - 57
58 - 67
No. of heart patients
22
10
28
6
7
(iv)
Age (in years)
18 - 27
28 - 37
38 - 47
48 - 57
58 - 67
No. of heart patients
22
28
8
6
7
(v)
Age (in years)
18 - 27
28 - 37
38 - 47
48 - 57
58 - 67
No. of heart patients
22
7
28
6
8
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)
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
No. of heart patients
5
2
15
19
23
(ii)
Age (in years)
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
No. of heart patients
5
15
5
19
23
(iii)
Age (in years)
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
No. of heart patients
5
5
15
19
23
(iv)
Age (in years)
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
No. of heart patients
5
5
11
19
23
(v)
Age (in years)
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
No. of heart patients
5
23
15
19
5
Question
5
5.
Marks obtained by 115 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
No. of students
7
12
10
28
25
6
27
(ii)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
No. of students
7
27
12
28
25
6
10
(iii)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
No. of students
7
10
12
28
25
6
27
(iv)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
No. of students
7
10
12
26
25
6
27
(v)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
No. of students
7
10
14
28
25
6
27
Question
6
6.
The daily pocket expenses of 95 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
No. of students
27
14
25
10
18
6
(ii)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
27
14
25
5
18
6
(iii)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
27
25
14
5
18
6
(iv)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
27
6
25
5
18
14
(v)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
27
14
30
5
18
6
Question
7
7.
Heights of 257 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
130 - 137
137 - 144
144 - 151
151 - 158
158 - 165
165 - 172
172 - 179
179 - 186
No. of students
41
46
45
42
6
35
32
10
(ii)
Height (in cm)
130 - 137
137 - 144
144 - 151
151 - 158
158 - 165
165 - 172
172 - 179
179 - 186
No. of students
41
46
42
45
6
35
32
10
(iii)
Height (in cm)
130 - 137
137 - 144
144 - 151
151 - 158
158 - 165
165 - 172
172 - 179
179 - 186
No. of students
41
46
44
45
6
35
32
10
(iv)
Height (in cm)
130 - 137
137 - 144
144 - 151
151 - 158
158 - 165
165 - 172
172 - 179
179 - 186
No. of students
41
46
42
45
3
35
32
10
(v)
Height (in cm)
130 - 137
137 - 144
144 - 151
151 - 158
158 - 165
165 - 172
172 - 179
179 - 186
No. of students
41
10
42
45
6
35
32
46
Question
8
8.
Heights of 197 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
129 - 137
138 - 146
147 - 155
156 - 164
165 - 173
174 - 182
183 - 191
No. of students
17
36
50
12
33
9
40
(ii)
Height (in cm)
129 - 137
138 - 146
147 - 155
156 - 164
165 - 173
174 - 182
183 - 191
No. of students
17
40
50
8
33
9
36
(iii)
Height (in cm)
129 - 137
138 - 146
147 - 155
156 - 164
165 - 173
174 - 182
183 - 191
No. of students
17
40
50
12
33
9
36
(iv)
Height (in cm)
129 - 137
138 - 146
147 - 155
156 - 164
165 - 173
174 - 182
183 - 191
No. of students
17
40
46
12
33
9
36
(v)
Height (in cm)
129 - 137
138 - 146
147 - 155
156 - 164
165 - 173
174 - 182
183 - 191
No. of students
17
50
40
12
33
9
36
Question
9
9.
Heights of 145 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
66 - 71
71 - 76
76 - 81
81 - 86
86 - 91
91 - 96
No. of plants
20
6
35
31
35
22
(ii)
Height (in cm)
66 - 71
71 - 76
76 - 81
81 - 86
86 - 91
91 - 96
No. of plants
20
6
31
31
35
22
(iii)
Height (in cm)
66 - 71
71 - 76
76 - 81
81 - 86
86 - 91
91 - 96
No. of plants
20
22
31
31
35
6
(iv)
Height (in cm)
66 - 71
71 - 76
76 - 81
81 - 86
86 - 91
91 - 96
No. of plants
20
6
31
28
35
22
(v)
Height (in cm)
66 - 71
71 - 76
76 - 81
81 - 86
86 - 91
91 - 96
No. of plants
20
31
6
31
35
22
Question
10
10.
Heights of 158 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
59 - 64
65 - 70
71 - 76
77 - 82
83 - 88
89 - 94
No. of plants
31
24
51
19
22
16
(ii)
Height (in cm)
59 - 64
65 - 70
71 - 76
77 - 82
83 - 88
89 - 94
No. of plants
31
16
46
19
22
24
(iii)
Height (in cm)
59 - 64
65 - 70
71 - 76
77 - 82
83 - 88
89 - 94
No. of plants
31
24
46
19
22
16
(iv)
Height (in cm)
59 - 64
65 - 70
71 - 76
77 - 82
83 - 88
89 - 94
No. of plants
31
46
24
19
22
16
(v)
Height (in cm)
59 - 64
65 - 70
71 - 76
77 - 82
83 - 88
89 - 94
No. of plants
31
24
46
14
22
16
Question
11
11.
Ages of 95 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
No. of students
15
41
10
19
10
(ii)
Age (in years)
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
No. of students
15
44
10
19
10
(iii)
Age (in years)
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
No. of students
15
10
41
19
10
(iv)
Age (in years)
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
No. of students
15
10
10
19
41
(v)
Age (in years)
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
No. of students
15
41
8
19
10
Question
12
12.
Ages of 181 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
No. of students
47
48
19
49
16
5
(ii)
Age (in years)
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
No. of students
47
5
19
46
16
48
(iii)
Age (in years)
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
No. of students
47
19
48
46
16
5
(iv)
Age (in years)
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
No. of students
47
48
19
46
16
5
(v)
Age (in years)
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
No. of students
47
48
24
46
16
5
Question
13
13.
Scores of 107 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
76 - 83
83 - 90
90 - 97
97 - 104
104 - 111
111 - 118
118 - 125
No. of students
6
27
25
9
13
5
24
(ii)
Score
76 - 83
83 - 90
90 - 97
97 - 104
104 - 111
111 - 118
118 - 125
No. of students
6
24
25
7
13
5
27
(iii)
Score
76 - 83
83 - 90
90 - 97
97 - 104
104 - 111
111 - 118
118 - 125
No. of students
6
27
25
7
13
5
24
(iv)
Score
76 - 83
83 - 90
90 - 97
97 - 104
104 - 111
111 - 118
118 - 125
No. of students
6
27
28
7
13
5
24
(v)
Score
76 - 83
83 - 90
90 - 97
97 - 104
104 - 111
111 - 118
118 - 125
No. of students
6
25
27
7
13
5
24
Question
14
14.
Scores of 169 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
78 - 83
84 - 89
90 - 95
96 - 101
102 - 107
108 - 113
No. of students
22
50
13
17
30
37
(ii)
Score
78 - 83
84 - 89
90 - 95
96 - 101
102 - 107
108 - 113
No. of students
22
13
50
17
30
37
(iii)
Score
78 - 83
84 - 89
90 - 95
96 - 101
102 - 107
108 - 113
No. of students
22
50
10
17
30
37
(iv)
Score
78 - 83
84 - 89
90 - 95
96 - 101
102 - 107
108 - 113
No. of students
22
50
13
21
30
37
(v)
Score
78 - 83
84 - 89
90 - 95
96 - 101
102 - 107
108 - 113
No. of students
22
37
13
17
30
50
Question
15
15.
Rainfall of 130 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
13 - 20
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
No. of days
26
30
20
16
8
15
17
(ii)
Rainfall (in mm)
13 - 20
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
No. of days
26
18
30
16
8
15
17
(iii)
Rainfall (in mm)
13 - 20
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
No. of days
26
30
18
16
8
15
17
(iv)
Rainfall (in mm)
13 - 20
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
No. of days
26
17
18
16
8
15
30
(v)
Rainfall (in mm)
13 - 20
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
No. of days
26
30
18
20
8
15
17
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)
5 - 14
15 - 24
25 - 34
35 - 44
45 - 54
No. of days
32
40
32
41
29
(ii)
Rainfall (in mm)
5 - 14
15 - 24
25 - 34
35 - 44
45 - 54
No. of days
32
32
43
41
29
(iii)
Rainfall (in mm)
5 - 14
15 - 24
25 - 34
35 - 44
45 - 54
No. of days
32
29
40
41
32
(iv)
Rainfall (in mm)
5 - 14
15 - 24
25 - 34
35 - 44
45 - 54
No. of days
32
34
40
41
29
(v)
Rainfall (in mm)
5 - 14
15 - 24
25 - 34
35 - 44
45 - 54
No. of days
32
32
40
41
29
Question
17
17.
Temperatures of 244 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
51 - 56
56 - 61
61 - 66
No. of days
13
31
30
28
14
46
38
49
(ii)
Temperature (in degree)
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
51 - 56
56 - 61
61 - 66
No. of days
13
31
25
28
9
46
38
49
(iii)
Temperature (in degree)
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
51 - 56
56 - 61
61 - 66
No. of days
13
31
28
25
14
46
38
49
(iv)
Temperature (in degree)
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
51 - 56
56 - 61
61 - 66
No. of days
13
31
25
28
14
46
38
49
(v)
Temperature (in degree)
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
51 - 56
56 - 61
61 - 66
No. of days
13
49
25
28
14
46
38
31
Question
18
18.
Temperatures of 254 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
101 - 111
112 - 122
No. of days
40
6
47
22
23
28
43
45
(ii)
Temperature (in degree)
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
101 - 111
112 - 122
No. of days
40
45
47
22
27
28
43
6
(iii)
Temperature (in degree)
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
101 - 111
112 - 122
No. of days
40
45
47
22
23
28
43
6
(iv)
Temperature (in degree)
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
101 - 111
112 - 122
No. of days
40
45
49
22
23
28
43
6
(v)
Temperature (in degree)
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
101 - 111
112 - 122
No. of days
40
45
22
47
23
28
43
6
Question
19
19.
Weights of 117 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
58 - 68
68 - 78
78 - 88
88 - 98
98 - 108
108 - 118
No. of students
19
6
12
21
32
27
(ii)
Weight (in kg)
58 - 68
68 - 78
78 - 88
88 - 98
98 - 108
108 - 118
No. of students
19
6
10
21
32
27
(iii)
Weight (in kg)
58 - 68
68 - 78
78 - 88
88 - 98
98 - 108
108 - 118
No. of students
19
6
12
17
32
27
(iv)
Weight (in kg)
58 - 68
68 - 78
78 - 88
88 - 98
98 - 108
108 - 118
No. of students
19
12
6
21
32
27
(v)
Weight (in kg)
58 - 68
68 - 78
78 - 88
88 - 98
98 - 108
108 - 118
No. of students
19
27
12
21
32
6
Question
20
20.
Weights of 167 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
No. of students
31
49
13
41
33
(ii)
Weight (in kg)
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
No. of students
31
33
13
41
49
(iii)
Weight (in kg)
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
No. of students
31
33
18
41
49
(iv)
Weight (in kg)
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
No. of students
31
13
33
41
49
(v)
Weight (in kg)
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
No. of students
31
38
13
41
49
Question
21
21.
Daily wages of 211 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
217 - 226
226 - 235
235 - 244
244 - 253
253 - 262
262 - 271
271 - 280
280 - 289
No. of labourers
20
36
11
22
37
42
22
21
(ii)
Daily wage (in Rs)
217 - 226
226 - 235
235 - 244
244 - 253
253 - 262
262 - 271
271 - 280
280 - 289
No. of labourers
20
21
16
22
37
42
22
36
(iii)
Daily wage (in Rs)
217 - 226
226 - 235
235 - 244
244 - 253
253 - 262
262 - 271
271 - 280
280 - 289
No. of labourers
20
21
11
22
33
42
22
36
(iv)
Daily wage (in Rs)
217 - 226
226 - 235
235 - 244
244 - 253
253 - 262
262 - 271
271 - 280
280 - 289
No. of labourers
20
21
22
11
37
42
22
36
(v)
Daily wage (in Rs)
217 - 226
226 - 235
235 - 244
244 - 253
253 - 262
262 - 271
271 - 280
280 - 289
No. of labourers
20
21
11
22
37
42
22
36
Question
22
22.
Daily wages of 199 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
203 - 210
211 - 218
219 - 226
227 - 234
235 - 242
243 - 250
251 - 258
259 - 266
No. of labourers
20
13
24
37
33
47
18
7
(ii)
Daily wage (in Rs)
203 - 210
211 - 218
219 - 226
227 - 234
235 - 242
243 - 250
251 - 258
259 - 266
No. of labourers
20
7
24
37
33
47
18
13
(iii)
Daily wage (in Rs)
203 - 210
211 - 218
219 - 226
227 - 234
235 - 242
243 - 250
251 - 258
259 - 266
No. of labourers
20
13
24
37
35
47
18
7
(iv)
Daily wage (in Rs)
203 - 210
211 - 218
219 - 226
227 - 234
235 - 242
243 - 250
251 - 258
259 - 266
No. of labourers
20
13
37
24
33
47
18
7
(v)
Daily wage (in Rs)
203 - 210
211 - 218
219 - 226
227 - 234
235 - 242
243 - 250
251 - 258
259 - 266
No. of labourers
20
13
26
37
33
47
18
7
Assignment Key
1) (iii)
2) (iii)
3) (i)
4) (iii)
5) (iii)
6) (ii)
7) (ii)
8) (iii)
9) (ii)
10) (iii)
11) (i)
12) (iv)
13) (iii)
14) (i)
15) (iii)
16) (v)
17) (iv)
18) (iii)
19) (i)
20) (ii)
21) (v)
22) (i)
