EduSahara™ Assignment
Name : Frequency Polygon
Chapter : Graphical Representation of Statistical Data
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
Frequency
31
12
6
18
29
(ii)
Class-Interval
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
Frequency
31
12
11
18
29
(iii)
Class-Interval
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
Frequency
31
9
11
18
29
(iv)
Class-Interval
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
Frequency
31
29
11
18
12
(v)
Class-Interval
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
Frequency
31
11
12
18
29
Question
2
2.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
Frequency
30
21
12
26
49
45
14
(ii)
Class-Interval
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
Frequency
30
21
12
23
49
45
14
(iii)
Class-Interval
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
Frequency
30
12
21
26
49
45
14
(iv)
Class-Interval
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
Frequency
30
21
14
26
49
45
14
(v)
Class-Interval
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
Frequency
30
14
12
26
49
45
21
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)
29 - 33
34 - 38
39 - 43
44 - 48
49 - 53
54 - 58
59 - 63
64 - 68
No. of heart patients
12
16
15
10
28
30
23
21
(ii)
Age (in years)
29 - 33
34 - 38
39 - 43
44 - 48
49 - 53
54 - 58
59 - 63
64 - 68
No. of heart patients
12
16
15
10
26
30
23
21
(iii)
Age (in years)
29 - 33
34 - 38
39 - 43
44 - 48
49 - 53
54 - 58
59 - 63
64 - 68
No. of heart patients
12
21
15
10
26
30
23
16
(iv)
Age (in years)
29 - 33
34 - 38
39 - 43
44 - 48
49 - 53
54 - 58
59 - 63
64 - 68
No. of heart patients
12
16
10
10
26
30
23
21
(v)
Age (in years)
29 - 33
34 - 38
39 - 43
44 - 48
49 - 53
54 - 58
59 - 63
64 - 68
No. of heart patients
12
16
10
15
26
30
23
21
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 - 25
25 - 32
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
No. of heart patients
30
29
21
18
16
7
21
9
(ii)
Age (in years)
18 - 25
25 - 32
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
No. of heart patients
30
29
18
21
20
7
21
9
(iii)
Age (in years)
18 - 25
25 - 32
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
No. of heart patients
30
29
18
18
20
7
21
9
(iv)
Age (in years)
18 - 25
25 - 32
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
No. of heart patients
30
9
21
18
20
7
21
29
(v)
Age (in years)
18 - 25
25 - 32
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
No. of heart patients
30
29
21
18
20
7
21
9
Question
5
5.
Heights of 233 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
129 - 135
135 - 141
141 - 147
147 - 153
153 - 159
159 - 165
165 - 171
No. of students
31
18
50
16
36
35
47
(ii)
Height (in cm)
129 - 135
135 - 141
141 - 147
147 - 153
153 - 159
159 - 165
165 - 171
No. of students
31
47
50
12
36
35
18
(iii)
Height (in cm)
129 - 135
135 - 141
141 - 147
147 - 153
153 - 159
159 - 165
165 - 171
No. of students
31
47
50
16
36
35
18
(iv)
Height (in cm)
129 - 135
135 - 141
141 - 147
147 - 153
153 - 159
159 - 165
165 - 171
No. of students
31
50
47
16
36
35
18
(v)
Height (in cm)
129 - 135
135 - 141
141 - 147
147 - 153
153 - 159
159 - 165
165 - 171
No. of students
31
47
55
16
36
35
18
Question
6
6.
Heights of 181 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
123 - 128
129 - 134
135 - 140
141 - 146
147 - 152
153 - 158
159 - 164
165 - 170
No. of students
14
6
38
47
5
8
31
29
(ii)
Height (in cm)
123 - 128
129 - 134
135 - 140
141 - 146
147 - 152
153 - 158
159 - 164
165 - 170
No. of students
14
6
47
38
8
8
31
29
(iii)
Height (in cm)
123 - 128
129 - 134
135 - 140
141 - 146
147 - 152
153 - 158
159 - 164
165 - 170
No. of students
14
6
36
47
8
8
31
29
(iv)
Height (in cm)
123 - 128
129 - 134
135 - 140
141 - 146
147 - 152
153 - 158
159 - 164
165 - 170
No. of students
14
29
38
47
8
8
31
6
(v)
Height (in cm)
123 - 128
129 - 134
135 - 140
141 - 146
147 - 152
153 - 158
159 - 164
165 - 170
No. of students
14
6
38
47
8
8
31
29
Question
7
7.
Heights of 138 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
68 - 76
76 - 84
84 - 92
92 - 100
100 - 108
No. of plants
47
14
23
14
40
(ii)
Height (in cm)
68 - 76
76 - 84
84 - 92
92 - 100
100 - 108
No. of plants
47
36
23
14
14
(iii)
Height (in cm)
68 - 76
76 - 84
84 - 92
92 - 100
100 - 108
No. of plants
47
40
23
14
14
(iv)
Height (in cm)
68 - 76
76 - 84
84 - 92
92 - 100
100 - 108
No. of plants
47
23
40
14
14
(v)
Height (in cm)
68 - 76
76 - 84
84 - 92
92 - 100
100 - 108
No. of plants
47
40
18
14
14
Question
8
8.
Heights of 230 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
110 - 117
118 - 125
No. of plants
32
30
38
28
44
20
36
(ii)
Height (in cm)
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
110 - 117
118 - 125
No. of plants
32
36
40
28
44
20
30
(iii)
Height (in cm)
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
110 - 117
118 - 125
No. of plants
32
30
40
23
44
20
36
(iv)
Height (in cm)
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
110 - 117
118 - 125
No. of plants
32
30
40
28
44
20
36
(v)
Height (in cm)
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
110 - 117
118 - 125
No. of plants
32
40
30
28
44
20
36
Question
9
9.
Ages of 187 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
No. of students
37
41
7
39
8
15
40
(ii)
Age (in years)
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
No. of students
37
40
7
39
8
15
41
(iii)
Age (in years)
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
No. of students
37
40
7
37
8
15
41
(iv)
Age (in years)
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
No. of students
37
7
40
39
8
15
41
(v)
Age (in years)
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
No. of students
37
40
11
39
8
15
41
Question
10
10.
Ages of 207 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
76 - 85
86 - 95
No. of students
39
23
12
7
44
44
28
10
(ii)
Age (in years)
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
76 - 85
86 - 95
No. of students
39
10
16
7
44
44
28
23
(iii)
Age (in years)
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
76 - 85
86 - 95
No. of students
39
10
12
7
41
44
28
23
(iv)
Age (in years)
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
76 - 85
86 - 95
No. of students
39
10
12
7
44
44
28
23
(v)
Age (in years)
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
76 - 85
86 - 95
No. of students
39
10
7
12
44
44
28
23
Question
11
11.
Scores of 127 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
85 - 91
91 - 97
97 - 103
103 - 109
109 - 115
No. of students
9
41
47
18
12
(ii)
Score
85 - 91
91 - 97
97 - 103
103 - 109
109 - 115
No. of students
9
47
12
18
41
(iii)
Score
85 - 91
91 - 97
97 - 103
103 - 109
109 - 115
No. of students
9
12
47
18
41
(iv)
Score
85 - 91
91 - 97
97 - 103
103 - 109
109 - 115
No. of students
9
12
44
18
41
(v)
Score
85 - 91
91 - 97
97 - 103
103 - 109
109 - 115
No. of students
9
16
47
18
41
Question
12
12.
Scores of 287 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
74 - 82
83 - 91
92 - 100
101 - 109
110 - 118
119 - 127
128 - 136
No. of students
48
41
45
43
25
38
47
(ii)
Score
74 - 82
83 - 91
92 - 100
101 - 109
110 - 118
119 - 127
128 - 136
No. of students
48
47
41
43
25
38
45
(iii)
Score
74 - 82
83 - 91
92 - 100
101 - 109
110 - 118
119 - 127
128 - 136
No. of students
48
45
37
43
25
38
47
(iv)
Score
74 - 82
83 - 91
92 - 100
101 - 109
110 - 118
119 - 127
128 - 136
No. of students
48
45
41
43
25
38
47
(v)
Score
74 - 82
83 - 91
92 - 100
101 - 109
110 - 118
119 - 127
128 - 136
No. of students
48
45
41
46
25
38
47
Question
13
13.
Rainfall of 168 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
9 - 19
19 - 29
29 - 39
39 - 49
49 - 59
59 - 69
69 - 79
79 - 89
No. of days
27
9
19
22
15
5
49
22
(ii)
Rainfall (in mm)
9 - 19
19 - 29
29 - 39
39 - 49
49 - 59
59 - 69
69 - 79
79 - 89
No. of days
27
9
19
22
13
5
49
22
(iii)
Rainfall (in mm)
9 - 19
19 - 29
29 - 39
39 - 49
49 - 59
59 - 69
69 - 79
79 - 89
No. of days
27
22
19
22
15
5
49
9
(iv)
Rainfall (in mm)
9 - 19
19 - 29
29 - 39
39 - 49
49 - 59
59 - 69
69 - 79
79 - 89
No. of days
27
9
22
19
15
5
49
22
(v)
Rainfall (in mm)
9 - 19
19 - 29
29 - 39
39 - 49
49 - 59
59 - 69
69 - 79
79 - 89
No. of days
27
9
16
22
15
5
49
22
Question
14
14.
Rainfall of 278 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
9 - 14
15 - 20
21 - 26
27 - 32
33 - 38
39 - 44
45 - 50
51 - 56
No. of days
44
30
18
33
43
50
47
13
(ii)
Rainfall (in mm)
9 - 14
15 - 20
21 - 26
27 - 32
33 - 38
39 - 44
45 - 50
51 - 56
No. of days
44
13
14
33
43
50
47
30
(iii)
Rainfall (in mm)
9 - 14
15 - 20
21 - 26
27 - 32
33 - 38
39 - 44
45 - 50
51 - 56
No. of days
44
13
33
18
43
50
47
30
(iv)
Rainfall (in mm)
9 - 14
15 - 20
21 - 26
27 - 32
33 - 38
39 - 44
45 - 50
51 - 56
No. of days
44
13
18
33
47
50
47
30
(v)
Rainfall (in mm)
9 - 14
15 - 20
21 - 26
27 - 32
33 - 38
39 - 44
45 - 50
51 - 56
No. of days
44
13
18
33
43
50
47
30
Question
15
15.
Temperatures of 218 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
33 - 43
43 - 53
53 - 63
63 - 73
73 - 83
83 - 93
93 - 103
103 - 113
No. of days
8
41
21
6
49
30
16
49
(ii)
Temperature (in degree)
33 - 43
43 - 53
53 - 63
63 - 73
73 - 83
83 - 93
93 - 103
103 - 113
No. of days
8
49
19
6
49
30
16
41
(iii)
Temperature (in degree)
33 - 43
43 - 53
53 - 63
63 - 73
73 - 83
83 - 93
93 - 103
103 - 113
No. of days
8
41
19
6
44
30
16
49
(iv)
Temperature (in degree)
33 - 43
43 - 53
53 - 63
63 - 73
73 - 83
83 - 93
93 - 103
103 - 113
No. of days
8
41
19
6
49
30
16
49
(v)
Temperature (in degree)
33 - 43
43 - 53
53 - 63
63 - 73
73 - 83
83 - 93
93 - 103
103 - 113
No. of days
8
41
6
19
49
30
16
49
Question
16
16.
Temperatures of 91 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
30 - 35
36 - 41
42 - 47
48 - 53
54 - 59
No. of days
13
15
18
22
27
(ii)
Temperature (in degree)
30 - 35
36 - 41
42 - 47
48 - 53
54 - 59
No. of days
13
18
11
22
27
(iii)
Temperature (in degree)
30 - 35
36 - 41
42 - 47
48 - 53
54 - 59
No. of days
13
27
18
22
11
(iv)
Temperature (in degree)
30 - 35
36 - 41
42 - 47
48 - 53
54 - 59
No. of days
13
11
23
22
27
(v)
Temperature (in degree)
30 - 35
36 - 41
42 - 47
48 - 53
54 - 59
No. of days
13
11
18
22
27
Question
17
17.
Weights of 177 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
47 - 54
54 - 61
61 - 68
68 - 75
75 - 82
82 - 89
89 - 96
96 - 103
No. of students
30
41
23
22
12
21
14
9
(ii)
Weight (in kg)
47 - 54
54 - 61
61 - 68
68 - 75
75 - 82
82 - 89
89 - 96
96 - 103
No. of students
30
41
28
22
9
21
14
9
(iii)
Weight (in kg)
47 - 54
54 - 61
61 - 68
68 - 75
75 - 82
82 - 89
89 - 96
96 - 103
No. of students
30
41
22
28
12
21
14
9
(iv)
Weight (in kg)
47 - 54
54 - 61
61 - 68
68 - 75
75 - 82
82 - 89
89 - 96
96 - 103
No. of students
30
41
28
22
12
21
14
9
(v)
Weight (in kg)
47 - 54
54 - 61
61 - 68
68 - 75
75 - 82
82 - 89
89 - 96
96 - 103
No. of students
30
9
28
22
12
21
14
41
Question
18
18.
Weights of 189 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
No. of students
47
25
33
38
41
(ii)
Weight (in kg)
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
No. of students
47
27
38
38
41
(iii)
Weight (in kg)
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
No. of students
47
41
38
38
25
(iv)
Weight (in kg)
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
No. of students
47
38
25
38
41
(v)
Weight (in kg)
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
No. of students
47
25
38
38
41
Question
19
19.
Daily wages of 148 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
257 - 263
263 - 269
269 - 275
275 - 281
281 - 287
No. of labourers
40
41
13
16
38
(ii)
Daily wage (in Rs)
257 - 263
263 - 269
269 - 275
275 - 281
281 - 287
No. of labourers
40
13
36
16
38
(iii)
Daily wage (in Rs)
257 - 263
263 - 269
269 - 275
275 - 281
281 - 287
No. of labourers
40
11
41
16
38
(iv)
Daily wage (in Rs)
257 - 263
263 - 269
269 - 275
275 - 281
281 - 287
No. of labourers
40
38
41
16
13
(v)
Daily wage (in Rs)
257 - 263
263 - 269
269 - 275
275 - 281
281 - 287
No. of labourers
40
13
41
16
38
Question
20
20.
Daily wages of 185 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
205 - 212
213 - 220
221 - 228
229 - 236
237 - 244
245 - 252
253 - 260
No. of labourers
31
11
30
41
9
26
41
(ii)
Daily wage (in Rs)
205 - 212
213 - 220
221 - 228
229 - 236
237 - 244
245 - 252
253 - 260
No. of labourers
31
11
30
37
9
26
41
(iii)
Daily wage (in Rs)
205 - 212
213 - 220
221 - 228
229 - 236
237 - 244
245 - 252
253 - 260
No. of labourers
31
11
32
37
9
26
41
(iv)
Daily wage (in Rs)
205 - 212
213 - 220
221 - 228
229 - 236
237 - 244
245 - 252
253 - 260
No. of labourers
31
30
11
37
9
26
41
(v)
Daily wage (in Rs)
205 - 212
213 - 220
221 - 228
229 - 236
237 - 244
245 - 252
253 - 260
No. of labourers
31
41
30
37
9
26
11
Assignment Key
1) (ii)
2) (i)
3) (ii)
4) (v)
5) (iii)
6) (v)
7) (iii)
8) (iv)
9) (ii)
10) (iv)
11) (iii)
12) (iv)
13) (i)
14) (v)
15) (iv)
16) (v)
17) (iv)
18) (v)
19) (v)
20) (ii)
