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
32 - 36
37 - 41
42 - 46
47 - 51
52 - 56
57 - 61
Frequency
12
33
11
38
40
45
(ii)
Class-Interval
32 - 36
37 - 41
42 - 46
47 - 51
52 - 56
57 - 61
Frequency
12
45
11
34
40
33
(iii)
Class-Interval
32 - 36
37 - 41
42 - 46
47 - 51
52 - 56
57 - 61
Frequency
12
45
7
38
40
33
(iv)
Class-Interval
32 - 36
37 - 41
42 - 46
47 - 51
52 - 56
57 - 61
Frequency
12
11
45
38
40
33
(v)
Class-Interval
32 - 36
37 - 41
42 - 46
47 - 51
52 - 56
57 - 61
Frequency
12
45
11
38
40
33
Question
2
2.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
16 - 25
25 - 34
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
Frequency
28
21
40
34
32
47
43
(ii)
Class-Interval
16 - 25
25 - 34
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
Frequency
28
21
44
34
32
47
43
(iii)
Class-Interval
16 - 25
25 - 34
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
Frequency
28
21
44
38
32
47
43
(iv)
Class-Interval
16 - 25
25 - 34
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
Frequency
28
44
21
34
32
47
43
(v)
Class-Interval
16 - 25
25 - 34
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
Frequency
28
43
44
34
32
47
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)
33 - 37
38 - 42
43 - 47
48 - 52
53 - 57
No. of heart patients
8
27
14
23
30
(ii)
Age (in years)
33 - 37
38 - 42
43 - 47
48 - 52
53 - 57
No. of heart patients
8
14
27
23
30
(iii)
Age (in years)
33 - 37
38 - 42
43 - 47
48 - 52
53 - 57
No. of heart patients
8
27
10
23
30
(iv)
Age (in years)
33 - 37
38 - 42
43 - 47
48 - 52
53 - 57
No. of heart patients
8
23
14
23
30
(v)
Age (in years)
33 - 37
38 - 42
43 - 47
48 - 52
53 - 57
No. of heart patients
8
30
14
23
27
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)
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
82 - 88
88 - 94
No. of heart patients
10
5
14
7
28
17
12
17
(ii)
Age (in years)
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
82 - 88
88 - 94
No. of heart patients
10
5
16
7
28
17
12
17
(iii)
Age (in years)
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
82 - 88
88 - 94
No. of heart patients
10
5
14
7
31
17
12
17
(iv)
Age (in years)
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
82 - 88
88 - 94
No. of heart patients
10
17
14
7
28
17
12
5
(v)
Age (in years)
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
82 - 88
88 - 94
No. of heart patients
10
5
7
14
28
17
12
17
Question
5
5.
Heights of 194 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
130 - 140
140 - 150
150 - 160
160 - 170
170 - 180
180 - 190
190 - 200
200 - 210
No. of students
28
5
28
31
20
15
44
23
(ii)
Height (in cm)
130 - 140
140 - 150
150 - 160
160 - 170
170 - 180
180 - 190
190 - 200
200 - 210
No. of students
28
5
31
28
20
15
44
23
(iii)
Height (in cm)
130 - 140
140 - 150
150 - 160
160 - 170
170 - 180
180 - 190
190 - 200
200 - 210
No. of students
28
23
31
28
20
15
44
5
(iv)
Height (in cm)
130 - 140
140 - 150
150 - 160
160 - 170
170 - 180
180 - 190
190 - 200
200 - 210
No. of students
28
5
27
28
20
15
44
23
(v)
Height (in cm)
130 - 140
140 - 150
150 - 160
160 - 170
170 - 180
180 - 190
190 - 200
200 - 210
No. of students
28
5
31
28
18
15
44
23
Question
6
6.
Heights of 236 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
124 - 132
133 - 141
142 - 150
151 - 159
160 - 168
169 - 177
178 - 186
No. of students
46
42
28
49
5
39
27
(ii)
Height (in cm)
124 - 132
133 - 141
142 - 150
151 - 159
160 - 168
169 - 177
178 - 186
No. of students
46
28
42
54
5
39
27
(iii)
Height (in cm)
124 - 132
133 - 141
142 - 150
151 - 159
160 - 168
169 - 177
178 - 186
No. of students
46
28
37
49
5
39
27
(iv)
Height (in cm)
124 - 132
133 - 141
142 - 150
151 - 159
160 - 168
169 - 177
178 - 186
No. of students
46
27
42
49
5
39
28
(v)
Height (in cm)
124 - 132
133 - 141
142 - 150
151 - 159
160 - 168
169 - 177
178 - 186
No. of students
46
28
42
49
5
39
27
Question
7
7.
Heights of 243 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
98 - 106
106 - 114
No. of plants
36
48
16
14
25
14
42
48
(ii)
Height (in cm)
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
98 - 106
106 - 114
No. of plants
36
48
14
16
25
14
42
48
(iii)
Height (in cm)
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
98 - 106
106 - 114
No. of plants
36
48
10
16
25
14
42
48
(iv)
Height (in cm)
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
98 - 106
106 - 114
No. of plants
36
48
14
16
23
14
42
48
Question
8
8.
Heights of 217 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
51 - 57
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
No. of plants
38
50
12
25
40
32
17
(ii)
Height (in cm)
51 - 57
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
No. of plants
38
50
15
27
40
32
17
(iii)
Height (in cm)
51 - 57
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
No. of plants
38
15
50
25
40
32
17
(iv)
Height (in cm)
51 - 57
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
No. of plants
38
17
15
25
40
32
50
(v)
Height (in cm)
51 - 57
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
No. of plants
38
50
15
25
40
32
17
Question
9
9.
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
22 - 32
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
No. of students
24
49
12
19
24
33
45
(ii)
Age (in years)
12 - 22
22 - 32
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
No. of students
24
45
12
19
24
33
49
(iii)
Age (in years)
12 - 22
22 - 32
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
No. of students
24
49
12
21
24
33
45
(iv)
Age (in years)
12 - 22
22 - 32
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
No. of students
24
12
49
19
24
33
45
(v)
Age (in years)
12 - 22
22 - 32
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
No. of students
24
49
8
19
24
33
45
Question
10
10.
Ages of 262 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
13 - 22
23 - 32
33 - 42
43 - 52
53 - 62
63 - 72
73 - 82
83 - 92
No. of students
47
32
18
36
13
49
19
44
(ii)
Age (in years)
13 - 22
23 - 32
33 - 42
43 - 52
53 - 62
63 - 72
73 - 82
83 - 92
No. of students
47
32
18
36
17
49
19
44
(iii)
Age (in years)
13 - 22
23 - 32
33 - 42
43 - 52
53 - 62
63 - 72
73 - 82
83 - 92
No. of students
47
32
36
18
17
49
19
44
(iv)
Age (in years)
13 - 22
23 - 32
33 - 42
43 - 52
53 - 62
63 - 72
73 - 82
83 - 92
No. of students
47
44
18
36
17
49
19
32
(v)
Age (in years)
13 - 22
23 - 32
33 - 42
43 - 52
53 - 62
63 - 72
73 - 82
83 - 92
No. of students
47
32
22
36
17
49
19
44
Question
11
11.
Scores of 180 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
79 - 87
87 - 95
95 - 103
103 - 111
111 - 119
119 - 127
127 - 135
No. of students
25
38
25
19
16
44
13
(ii)
Score
79 - 87
87 - 95
95 - 103
103 - 111
111 - 119
119 - 127
127 - 135
No. of students
25
25
13
19
16
44
38
(iii)
Score
79 - 87
87 - 95
95 - 103
103 - 111
111 - 119
119 - 127
127 - 135
No. of students
25
13
25
19
16
44
38
(iv)
Score
79 - 87
87 - 95
95 - 103
103 - 111
111 - 119
119 - 127
127 - 135
No. of students
25
13
25
15
16
44
38
(v)
Score
79 - 87
87 - 95
95 - 103
103 - 111
111 - 119
119 - 127
127 - 135
No. of students
25
13
21
19
16
44
38
Question
12
12.
Scores of 227 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
134 - 140
No. of students
38
19
17
45
14
35
38
21
(ii)
Score
85 - 91
92 - 98
99 - 105
106 - 112
113 - 119
120 - 126
127 - 133
134 - 140
No. of students
38
19
50
17
14
35
38
21
(iii)
Score
85 - 91
92 - 98
99 - 105
106 - 112
113 - 119
120 - 126
127 - 133
134 - 140
No. of students
38
19
45
17
9
35
38
21
(iv)
Score
85 - 91
92 - 98
99 - 105
106 - 112
113 - 119
120 - 126
127 - 133
134 - 140
No. of students
38
19
45
17
14
35
38
21
(v)
Score
85 - 91
92 - 98
99 - 105
106 - 112
113 - 119
120 - 126
127 - 133
134 - 140
No. of students
38
21
45
17
14
35
38
19
Question
13
13.
Rainfall of 166 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
No. of days
10
33
46
37
40
(ii)
Rainfall (in mm)
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
No. of days
10
46
40
37
33
(iii)
Rainfall (in mm)
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
No. of days
10
40
46
37
33
(iv)
Rainfall (in mm)
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
No. of days
10
40
43
37
33
(v)
Rainfall (in mm)
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
No. of days
10
45
46
37
33
Question
14
14.
Rainfall of 214 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
7 - 15
16 - 24
25 - 33
34 - 42
43 - 51
52 - 60
61 - 69
No. of days
41
48
15
35
50
13
12
(ii)
Rainfall (in mm)
7 - 15
16 - 24
25 - 33
34 - 42
43 - 51
52 - 60
61 - 69
No. of days
41
12
48
35
50
13
15
(iii)
Rainfall (in mm)
7 - 15
16 - 24
25 - 33
34 - 42
43 - 51
52 - 60
61 - 69
No. of days
41
15
48
37
50
13
12
(iv)
Rainfall (in mm)
7 - 15
16 - 24
25 - 33
34 - 42
43 - 51
52 - 60
61 - 69
No. of days
41
15
48
35
50
13
12
(v)
Rainfall (in mm)
7 - 15
16 - 24
25 - 33
34 - 42
43 - 51
52 - 60
61 - 69
No. of days
41
15
43
35
50
13
12
Question
15
15.
Temperatures of 145 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
No. of days
30
16
40
46
13
(ii)
Temperature (in degree)
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
No. of days
30
13
42
46
16
(iii)
Temperature (in degree)
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
No. of days
30
18
40
46
16
(iv)
Temperature (in degree)
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
No. of days
30
40
13
46
16
(v)
Temperature (in degree)
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
No. of days
30
13
40
46
16
Question
16
16.
Temperatures of 245 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
77 - 82
No. of days
23
9
37
46
24
21
42
41
(ii)
Temperature (in degree)
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
77 - 82
No. of days
23
9
39
46
24
21
42
41
(iii)
Temperature (in degree)
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
77 - 82
No. of days
23
41
39
46
24
21
42
9
(iv)
Temperature (in degree)
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
77 - 82
No. of days
23
9
46
39
24
21
42
41
(v)
Temperature (in degree)
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
77 - 82
No. of days
23
9
39
46
21
21
42
41
Question
17
17.
Weights of 159 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
75 - 82
82 - 89
No. of students
5
14
12
32
49
34
11
(ii)
Weight (in kg)
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
75 - 82
82 - 89
No. of students
5
12
14
34
49
34
11
(iii)
Weight (in kg)
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
75 - 82
82 - 89
No. of students
5
14
12
34
49
34
11
(iv)
Weight (in kg)
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
75 - 82
82 - 89
No. of students
5
11
12
34
49
34
14
(v)
Weight (in kg)
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
75 - 82
82 - 89
No. of students
5
14
8
34
49
34
11
Question
18
18.
Weights of 212 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
59 - 69
70 - 80
81 - 91
92 - 102
103 - 113
114 - 124
125 - 135
No. of students
25
22
42
8
38
48
26
(ii)
Weight (in kg)
59 - 69
70 - 80
81 - 91
92 - 102
103 - 113
114 - 124
125 - 135
No. of students
25
45
22
8
38
48
26
(iii)
Weight (in kg)
59 - 69
70 - 80
81 - 91
92 - 102
103 - 113
114 - 124
125 - 135
No. of students
25
22
45
8
38
48
26
(iv)
Weight (in kg)
59 - 69
70 - 80
81 - 91
92 - 102
103 - 113
114 - 124
125 - 135
No. of students
25
26
45
8
38
48
22
(v)
Weight (in kg)
59 - 69
70 - 80
81 - 91
92 - 102
103 - 113
114 - 124
125 - 135
No. of students
25
22
45
6
38
48
26
Question
19
19.
Daily wages of 195 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
218 - 223
223 - 228
228 - 233
233 - 238
238 - 243
243 - 248
248 - 253
No. of labourers
47
46
14
22
41
6
22
(ii)
Daily wage (in Rs)
218 - 223
223 - 228
228 - 233
233 - 238
238 - 243
243 - 248
248 - 253
No. of labourers
47
46
11
22
41
6
22
(iii)
Daily wage (in Rs)
218 - 223
223 - 228
228 - 233
233 - 238
238 - 243
243 - 248
248 - 253
No. of labourers
47
11
46
22
41
6
22
(iv)
Daily wage (in Rs)
218 - 223
223 - 228
228 - 233
233 - 238
238 - 243
243 - 248
248 - 253
No. of labourers
47
22
11
22
41
6
46
(v)
Daily wage (in Rs)
218 - 223
223 - 228
228 - 233
233 - 238
238 - 243
243 - 248
248 - 253
No. of labourers
47
46
11
24
41
6
22
Question
20
20.
Daily wages of 276 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
267 - 274
275 - 282
283 - 290
291 - 298
299 - 306
307 - 314
315 - 322
323 - 330
No. of labourers
24
13
33
50
48
41
47
20
(ii)
Daily wage (in Rs)
267 - 274
275 - 282
283 - 290
291 - 298
299 - 306
307 - 314
315 - 322
323 - 330
No. of labourers
24
13
50
33
48
41
47
20
(iii)
Daily wage (in Rs)
267 - 274
275 - 282
283 - 290
291 - 298
299 - 306
307 - 314
315 - 322
323 - 330
No. of labourers
24
20
50
33
48
41
47
13
(iv)
Daily wage (in Rs)
267 - 274
275 - 282
283 - 290
291 - 298
299 - 306
307 - 314
315 - 322
323 - 330
No. of labourers
24
13
50
33
53
41
47
20
(v)
Daily wage (in Rs)
267 - 274
275 - 282
283 - 290
291 - 298
299 - 306
307 - 314
315 - 322
323 - 330
No. of labourers
24
13
52
33
48
41
47
20
Assignment Key
1) (v)
2) (ii)
3) (i)
4) (i)
5) (ii)
6) (v)
7) (ii)
8) (v)
9) (i)
10) (ii)
11) (iii)
12) (iv)
13) (iii)
14) (iv)
15) (v)
16) (ii)
17) (iii)
18) (iii)
19) (ii)
20) (ii)
