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
22 - 26
27 - 31
32 - 36
37 - 41
42 - 46
Frequency
20
33
33
14
27
(ii)
Class-Interval
22 - 26
27 - 31
32 - 36
37 - 41
42 - 46
Frequency
20
33
37
14
27
(iii)
Class-Interval
22 - 26
27 - 31
32 - 36
37 - 41
42 - 46
Frequency
20
37
33
14
27
(iv)
Class-Interval
22 - 26
27 - 31
32 - 36
37 - 41
42 - 46
Frequency
20
27
33
14
37
(v)
Class-Interval
22 - 26
27 - 31
32 - 36
37 - 41
42 - 46
Frequency
20
37
30
14
27
Question
2
2.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
17 - 25
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
Frequency
25
45
11
23
13
36
13
(ii)
Class-Interval
17 - 25
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
Frequency
25
13
11
23
13
36
45
(iii)
Class-Interval
17 - 25
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
Frequency
25
11
45
23
13
36
13
(iv)
Class-Interval
17 - 25
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
Frequency
25
45
14
23
13
36
13
(v)
Class-Interval
17 - 25
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
Frequency
25
45
11
19
13
36
13
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)
38 - 45
46 - 53
54 - 61
62 - 69
70 - 77
78 - 85
86 - 93
94 - 101
No. of heart patients
14
26
17
19
28
23
21
21
(ii)
Age (in years)
38 - 45
46 - 53
54 - 61
62 - 69
70 - 77
78 - 85
86 - 93
94 - 101
No. of heart patients
14
21
19
17
28
23
21
26
(iii)
Age (in years)
38 - 45
46 - 53
54 - 61
62 - 69
70 - 77
78 - 85
86 - 93
94 - 101
No. of heart patients
14
21
17
19
28
23
21
26
(iv)
Age (in years)
38 - 45
46 - 53
54 - 61
62 - 69
70 - 77
78 - 85
86 - 93
94 - 101
No. of heart patients
14
21
17
19
31
23
21
26
(v)
Age (in years)
38 - 45
46 - 53
54 - 61
62 - 69
70 - 77
78 - 85
86 - 93
94 - 101
No. of heart patients
14
21
19
19
28
23
21
26
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)
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
62 - 68
No. of heart patients
21
23
20
16
15
28
17
(ii)
Age (in years)
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
62 - 68
No. of heart patients
21
17
23
16
15
28
20
(iii)
Age (in years)
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
62 - 68
No. of heart patients
21
20
23
16
15
28
17
(iv)
Age (in years)
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
62 - 68
No. of heart patients
21
20
23
14
15
28
17
(v)
Age (in years)
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
62 - 68
No. of heart patients
21
20
26
16
15
28
17
Question
5
5.
Marks obtained by 84 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
10
15
26
11
22
(ii)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
No. of students
10
15
29
11
22
(iii)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
No. of students
10
22
26
11
15
(iv)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
No. of students
10
26
15
11
22
(v)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
No. of students
10
11
26
11
22
Question
6
6.
The daily pocket expenses of 99 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
No. of students
14
24
12
11
14
19
5
(ii)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
14
5
12
11
14
19
24
(iii)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
14
5
12
15
14
19
24
(iv)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
14
12
5
11
14
19
24
(v)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
14
5
14
11
14
19
24
Question
7
7.
Heights of 174 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
130 - 139
139 - 148
148 - 157
157 - 166
166 - 175
175 - 184
184 - 193
193 - 202
No. of students
33
18
18
26
12
20
17
30
(ii)
Height (in cm)
130 - 139
139 - 148
148 - 157
157 - 166
166 - 175
175 - 184
184 - 193
193 - 202
No. of students
33
30
18
26
12
20
17
18
(iii)
Height (in cm)
130 - 139
139 - 148
148 - 157
157 - 166
166 - 175
175 - 184
184 - 193
193 - 202
No. of students
33
18
18
26
7
20
17
30
(iv)
Height (in cm)
130 - 139
139 - 148
148 - 157
157 - 166
166 - 175
175 - 184
184 - 193
193 - 202
No. of students
33
18
20
26
12
20
17
30
(v)
Height (in cm)
130 - 139
139 - 148
148 - 157
157 - 166
166 - 175
175 - 184
184 - 193
193 - 202
No. of students
33
18
26
18
12
20
17
30
Question
8
8.
Heights of 170 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
122 - 127
128 - 133
134 - 139
140 - 145
146 - 151
152 - 157
158 - 163
No. of students
31
19
21
35
43
6
17
(ii)
Height (in cm)
122 - 127
128 - 133
134 - 139
140 - 145
146 - 151
152 - 157
158 - 163
No. of students
31
21
19
33
43
6
17
(iii)
Height (in cm)
122 - 127
128 - 133
134 - 139
140 - 145
146 - 151
152 - 157
158 - 163
No. of students
31
17
21
33
43
6
19
(iv)
Height (in cm)
122 - 127
128 - 133
134 - 139
140 - 145
146 - 151
152 - 157
158 - 163
No. of students
31
19
16
33
43
6
17
(v)
Height (in cm)
122 - 127
128 - 133
134 - 139
140 - 145
146 - 151
152 - 157
158 - 163
No. of students
31
19
21
33
43
6
17
Question
9
9.
Heights of 154 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
68 - 78
78 - 88
88 - 98
98 - 108
108 - 118
118 - 128
128 - 138
No. of plants
11
38
23
11
14
30
23
(ii)
Height (in cm)
68 - 78
78 - 88
88 - 98
98 - 108
108 - 118
118 - 128
128 - 138
No. of plants
11
23
23
15
14
30
38
(iii)
Height (in cm)
68 - 78
78 - 88
88 - 98
98 - 108
108 - 118
118 - 128
128 - 138
No. of plants
11
38
23
15
14
30
23
(iv)
Height (in cm)
68 - 78
78 - 88
88 - 98
98 - 108
108 - 118
118 - 128
128 - 138
No. of plants
11
38
26
15
14
30
23
(v)
Height (in cm)
68 - 78
78 - 88
88 - 98
98 - 108
108 - 118
118 - 128
128 - 138
No. of plants
11
23
38
15
14
30
23
Question
10
10.
Heights of 243 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
52 - 59
60 - 67
68 - 75
76 - 83
84 - 91
92 - 99
100 - 107
108 - 115
No. of plants
41
49
33
20
21
14
34
31
(ii)
Height (in cm)
52 - 59
60 - 67
68 - 75
76 - 83
84 - 91
92 - 99
100 - 107
108 - 115
No. of plants
41
49
33
20
24
14
34
31
(iii)
Height (in cm)
52 - 59
60 - 67
68 - 75
76 - 83
84 - 91
92 - 99
100 - 107
108 - 115
No. of plants
41
49
20
33
21
14
34
31
(iv)
Height (in cm)
52 - 59
60 - 67
68 - 75
76 - 83
84 - 91
92 - 99
100 - 107
108 - 115
No. of plants
41
49
31
20
21
14
34
31
(v)
Height (in cm)
52 - 59
60 - 67
68 - 75
76 - 83
84 - 91
92 - 99
100 - 107
108 - 115
No. of plants
41
31
33
20
21
14
34
49
Question
11
11.
Ages of 230 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
No. of students
41
27
44
40
26
48
(ii)
Age (in years)
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
No. of students
41
48
48
40
26
27
(iii)
Age (in years)
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
No. of students
41
48
27
40
26
48
(iv)
Age (in years)
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
No. of students
41
27
48
35
26
48
(v)
Age (in years)
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
No. of students
41
27
48
40
26
48
Question
12
12.
Ages of 174 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
19 - 24
25 - 30
31 - 36
37 - 42
43 - 48
No. of students
49
3
34
49
36
(ii)
Age (in years)
19 - 24
25 - 30
31 - 36
37 - 42
43 - 48
No. of students
49
36
34
49
6
(iii)
Age (in years)
19 - 24
25 - 30
31 - 36
37 - 42
43 - 48
No. of students
49
34
6
49
36
(iv)
Age (in years)
19 - 24
25 - 30
31 - 36
37 - 42
43 - 48
No. of students
49
6
39
49
36
(v)
Age (in years)
19 - 24
25 - 30
31 - 36
37 - 42
43 - 48
No. of students
49
6
34
49
36
Question
13
13.
Scores of 192 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
88 - 93
93 - 98
98 - 103
103 - 108
108 - 113
113 - 118
118 - 123
No. of students
23
31
20
39
44
12
23
(ii)
Score
88 - 93
93 - 98
98 - 103
103 - 108
108 - 113
113 - 118
118 - 123
No. of students
23
23
20
39
44
12
31
(iii)
Score
88 - 93
93 - 98
98 - 103
103 - 108
108 - 113
113 - 118
118 - 123
No. of students
23
20
23
39
44
12
31
(iv)
Score
88 - 93
93 - 98
98 - 103
103 - 108
108 - 113
113 - 118
118 - 123
No. of students
23
23
20
34
44
12
31
(v)
Score
88 - 93
93 - 98
98 - 103
103 - 108
108 - 113
113 - 118
118 - 123
No. of students
23
23
15
39
44
12
31
Question
14
14.
Scores of 123 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
No. of students
22
21
51
15
17
(ii)
Score
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
No. of students
22
23
48
15
17
(iii)
Score
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
No. of students
22
48
21
15
17
(iv)
Score
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
No. of students
22
17
48
15
21
(v)
Score
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
No. of students
22
21
48
15
17
Question
15
15.
Rainfall of 176 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
46 - 52
No. of days
32
44
14
12
25
39
6
(ii)
Rainfall (in mm)
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
46 - 52
No. of days
32
18
44
12
25
39
6
(iii)
Rainfall (in mm)
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
46 - 52
No. of days
32
44
18
9
25
39
6
(iv)
Rainfall (in mm)
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
46 - 52
No. of days
32
44
18
12
25
39
6
(v)
Rainfall (in mm)
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
46 - 52
No. of days
32
6
18
12
25
39
44
Question
16
16.
Rainfall of 209 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
10 - 18
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
No. of days
46
27
39
37
23
16
17
(ii)
Rainfall (in mm)
10 - 18
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
No. of days
46
27
43
34
23
16
17
(iii)
Rainfall (in mm)
10 - 18
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
No. of days
46
27
43
37
23
16
17
(iv)
Rainfall (in mm)
10 - 18
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
No. of days
46
17
43
37
23
16
27
(v)
Rainfall (in mm)
10 - 18
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
No. of days
46
43
27
37
23
16
17
Question
17
17.
Temperatures of 218 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
No. of days
19
16
18
29
26
39
22
44
(ii)
Temperature (in degree)
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
No. of days
19
16
14
29
31
39
22
44
(iii)
Temperature (in degree)
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
No. of days
19
16
29
18
31
39
22
44
(iv)
Temperature (in degree)
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
No. of days
19
16
18
29
31
39
22
44
(v)
Temperature (in degree)
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
No. of days
19
44
18
29
31
39
22
16
Question
18
18.
Temperatures of 258 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
33 - 43
44 - 54
55 - 65
66 - 76
77 - 87
88 - 98
99 - 109
No. of days
45
22
26
33
45
38
49
(ii)
Temperature (in degree)
33 - 43
44 - 54
55 - 65
66 - 76
77 - 87
88 - 98
99 - 109
No. of days
45
26
49
33
45
38
22
(iii)
Temperature (in degree)
33 - 43
44 - 54
55 - 65
66 - 76
77 - 87
88 - 98
99 - 109
No. of days
45
49
26
33
45
38
22
(iv)
Temperature (in degree)
33 - 43
44 - 54
55 - 65
66 - 76
77 - 87
88 - 98
99 - 109
No. of days
45
49
26
38
45
38
22
(v)
Temperature (in degree)
33 - 43
44 - 54
55 - 65
66 - 76
77 - 87
88 - 98
99 - 109
No. of days
45
49
24
33
45
38
22
Question
19
19.
Weights of 162 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
93 - 102
102 - 111
No. of students
23
10
18
12
43
33
23
(ii)
Weight (in kg)
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
93 - 102
102 - 111
No. of students
23
10
14
12
43
33
23
(iii)
Weight (in kg)
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
93 - 102
102 - 111
No. of students
23
10
18
10
43
33
23
(iv)
Weight (in kg)
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
93 - 102
102 - 111
No. of students
23
18
10
12
43
33
23
(v)
Weight (in kg)
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
93 - 102
102 - 111
No. of students
23
23
18
12
43
33
10
Question
20
20.
Weights of 102 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
59 - 67
68 - 76
77 - 85
86 - 94
95 - 103
No. of students
36
28
16
12
13
(ii)
Weight (in kg)
59 - 67
68 - 76
77 - 85
86 - 94
95 - 103
No. of students
36
33
13
12
13
(iii)
Weight (in kg)
59 - 67
68 - 76
77 - 85
86 - 94
95 - 103
No. of students
36
13
13
12
28
(iv)
Weight (in kg)
59 - 67
68 - 76
77 - 85
86 - 94
95 - 103
No. of students
36
28
13
12
13
(v)
Weight (in kg)
59 - 67
68 - 76
77 - 85
86 - 94
95 - 103
No. of students
36
13
28
12
13
Question
21
21.
Daily wages of 214 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
247 - 256
256 - 265
265 - 274
274 - 283
283 - 292
292 - 301
301 - 310
310 - 319
No. of labourers
6
7
47
22
27
44
50
11
(ii)
Daily wage (in Rs)
247 - 256
256 - 265
265 - 274
274 - 283
283 - 292
292 - 301
301 - 310
310 - 319
No. of labourers
6
11
47
22
27
44
50
7
(iii)
Daily wage (in Rs)
247 - 256
256 - 265
265 - 274
274 - 283
283 - 292
292 - 301
301 - 310
310 - 319
No. of labourers
6
7
22
47
27
44
50
11
(iv)
Daily wage (in Rs)
247 - 256
256 - 265
265 - 274
274 - 283
283 - 292
292 - 301
301 - 310
310 - 319
No. of labourers
6
7
42
22
27
44
50
11
(v)
Daily wage (in Rs)
247 - 256
256 - 265
265 - 274
274 - 283
283 - 292
292 - 301
301 - 310
310 - 319
No. of labourers
6
7
47
22
22
44
50
11
Question
22
22.
Daily wages of 136 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
244 - 254
255 - 265
266 - 276
277 - 287
288 - 298
No. of labourers
9
38
47
9
38
(ii)
Daily wage (in Rs)
244 - 254
255 - 265
266 - 276
277 - 287
288 - 298
No. of labourers
9
38
42
9
38
(iii)
Daily wage (in Rs)
244 - 254
255 - 265
266 - 276
277 - 287
288 - 298
No. of labourers
9
34
42
9
38
(iv)
Daily wage (in Rs)
244 - 254
255 - 265
266 - 276
277 - 287
288 - 298
No. of labourers
9
42
38
9
38
Assignment Key
1) (iii)
2) (i)
3) (iii)
4) (iii)
5) (i)
6) (ii)
7) (i)
8) (v)
9) (iii)
10) (i)
11) (v)
12) (v)
13) (ii)
14) (v)
15) (iv)
16) (iii)
17) (iv)
18) (iii)
19) (i)
20) (iv)
21) (i)
22) (ii)
