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
18 - 24
25 - 31
32 - 38
39 - 45
46 - 52
53 - 59
60 - 66
67 - 73
Frequency
38
27
26
33
35
16
34
31
(ii)
Class-Interval
18 - 24
25 - 31
32 - 38
39 - 45
46 - 52
53 - 59
60 - 66
67 - 73
Frequency
38
31
30
33
35
16
34
27
(iii)
Class-Interval
18 - 24
25 - 31
32 - 38
39 - 45
46 - 52
53 - 59
60 - 66
67 - 73
Frequency
38
27
30
33
35
16
34
31
(iv)
Class-Interval
18 - 24
25 - 31
32 - 38
39 - 45
46 - 52
53 - 59
60 - 66
67 - 73
Frequency
38
27
33
30
35
16
34
31
(v)
Class-Interval
18 - 24
25 - 31
32 - 38
39 - 45
46 - 52
53 - 59
60 - 66
67 - 73
Frequency
38
27
30
33
39
16
34
31
Question
2
2.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
Frequency
31
34
40
31
22
(ii)
Class-Interval
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
Frequency
31
37
45
31
22
(iii)
Class-Interval
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
Frequency
31
40
37
31
22
(iv)
Class-Interval
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
Frequency
31
37
40
31
22
(v)
Class-Interval
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
Frequency
31
22
40
31
37
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 - 40
41 - 48
49 - 56
57 - 64
65 - 72
No. of heart patients
16
9
1
30
18
(ii)
Age (in years)
33 - 40
41 - 48
49 - 56
57 - 64
65 - 72
No. of heart patients
16
18
6
30
9
(iii)
Age (in years)
33 - 40
41 - 48
49 - 56
57 - 64
65 - 72
No. of heart patients
16
6
9
30
18
(iv)
Age (in years)
33 - 40
41 - 48
49 - 56
57 - 64
65 - 72
No. of heart patients
16
12
6
30
18
(v)
Age (in years)
33 - 40
41 - 48
49 - 56
57 - 64
65 - 72
No. of heart patients
16
9
6
30
18
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 - 28
28 - 38
38 - 48
48 - 58
58 - 68
68 - 78
78 - 88
88 - 98
No. of heart patients
19
23
14
30
27
17
28
5
(ii)
Age (in years)
18 - 28
28 - 38
38 - 48
48 - 58
58 - 68
68 - 78
78 - 88
88 - 98
No. of heart patients
19
23
17
30
27
17
28
5
(iii)
Age (in years)
18 - 28
28 - 38
38 - 48
48 - 58
58 - 68
68 - 78
78 - 88
88 - 98
No. of heart patients
19
23
17
30
31
17
28
5
(iv)
Age (in years)
18 - 28
28 - 38
38 - 48
48 - 58
58 - 68
68 - 78
78 - 88
88 - 98
No. of heart patients
19
5
17
30
27
17
28
23
(v)
Age (in years)
18 - 28
28 - 38
38 - 48
48 - 58
58 - 68
68 - 78
78 - 88
88 - 98
No. of heart patients
19
23
30
17
27
17
28
5
Question
5
5.
Marks obtained by 121 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
No. of students
27
17
15
25
9
28
(ii)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
27
17
10
25
9
28
(iii)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
27
17
15
28
9
28
(iv)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
27
15
17
25
9
28
(v)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
27
28
15
25
9
17
Question
6
6.
The daily pocket expenses of 77 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
No. of students
8
28
24
14
6
(ii)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
No. of students
8
6
24
14
25
(iii)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
No. of students
8
24
25
14
6
(iv)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
No. of students
8
25
24
14
6
(v)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
No. of students
8
25
19
14
6
Question
7
7.
Heights of 204 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
122 - 128
128 - 134
134 - 140
140 - 146
146 - 152
152 - 158
158 - 164
164 - 170
No. of students
12
27
10
41
37
18
31
28
(ii)
Height (in cm)
122 - 128
128 - 134
134 - 140
140 - 146
146 - 152
152 - 158
158 - 164
164 - 170
No. of students
12
27
41
10
37
18
31
28
(iii)
Height (in cm)
122 - 128
128 - 134
134 - 140
140 - 146
146 - 152
152 - 158
158 - 164
164 - 170
No. of students
12
28
41
10
37
18
31
27
(iv)
Height (in cm)
122 - 128
128 - 134
134 - 140
140 - 146
146 - 152
152 - 158
158 - 164
164 - 170
No. of students
12
27
41
10
41
18
31
28
(v)
Height (in cm)
122 - 128
128 - 134
134 - 140
140 - 146
146 - 152
152 - 158
158 - 164
164 - 170
No. of students
12
27
46
10
37
18
31
28
Question
8
8.
Heights of 137 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
120 - 130
131 - 141
142 - 152
153 - 163
164 - 174
175 - 185
No. of students
20
29
43
5
25
18
(ii)
Height (in cm)
120 - 130
131 - 141
142 - 152
153 - 163
164 - 174
175 - 185
No. of students
20
29
40
9
25
18
(iii)
Height (in cm)
120 - 130
131 - 141
142 - 152
153 - 163
164 - 174
175 - 185
No. of students
20
18
40
5
25
29
(iv)
Height (in cm)
120 - 130
131 - 141
142 - 152
153 - 163
164 - 174
175 - 185
No. of students
20
29
40
5
25
18
(v)
Height (in cm)
120 - 130
131 - 141
142 - 152
153 - 163
164 - 174
175 - 185
No. of students
20
40
29
5
25
18
Question
9
9.
Heights of 254 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
120 - 130
130 - 140
140 - 150
No. of plants
48
30
14
28
18
19
45
48
(ii)
Height (in cm)
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
120 - 130
130 - 140
140 - 150
No. of plants
48
30
18
28
18
19
45
48
(iii)
Height (in cm)
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
120 - 130
130 - 140
140 - 150
No. of plants
48
30
18
28
15
19
45
48
(iv)
Height (in cm)
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
120 - 130
130 - 140
140 - 150
No. of plants
48
48
18
28
18
19
45
30
(v)
Height (in cm)
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
120 - 130
130 - 140
140 - 150
No. of plants
48
30
28
18
18
19
45
48
Question
10
10.
Heights of 183 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
55 - 65
66 - 76
77 - 87
88 - 98
99 - 109
110 - 120
121 - 131
132 - 142
No. of plants
11
39
8
23
32
48
17
5
(ii)
Height (in cm)
55 - 65
66 - 76
77 - 87
88 - 98
99 - 109
110 - 120
121 - 131
132 - 142
No. of plants
11
39
23
8
32
48
17
5
(iii)
Height (in cm)
55 - 65
66 - 76
77 - 87
88 - 98
99 - 109
110 - 120
121 - 131
132 - 142
No. of plants
11
39
25
8
32
48
17
5
(iv)
Height (in cm)
55 - 65
66 - 76
77 - 87
88 - 98
99 - 109
110 - 120
121 - 131
132 - 142
No. of plants
11
39
23
8
30
48
17
5
(v)
Height (in cm)
55 - 65
66 - 76
77 - 87
88 - 98
99 - 109
110 - 120
121 - 131
132 - 142
No. of plants
11
5
23
8
32
48
17
39
Question
11
11.
Ages of 70 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
10 - 19
19 - 28
28 - 37
37 - 46
46 - 55
No. of students
9
9
8
31
13
(ii)
Age (in years)
10 - 19
19 - 28
28 - 37
37 - 46
46 - 55
No. of students
9
8
9
31
13
(iii)
Age (in years)
10 - 19
19 - 28
28 - 37
37 - 46
46 - 55
No. of students
9
13
8
31
9
(iv)
Age (in years)
10 - 19
19 - 28
28 - 37
37 - 46
46 - 55
No. of students
9
6
8
31
13
(v)
Age (in years)
10 - 19
19 - 28
28 - 37
37 - 46
46 - 55
No. of students
9
9
3
31
13
Question
12
12.
Ages of 191 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
19 - 26
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
75 - 82
No. of students
40
16
5
14
43
20
9
40
(ii)
Age (in years)
19 - 26
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
75 - 82
No. of students
40
16
9
14
43
20
9
40
(iii)
Age (in years)
19 - 26
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
75 - 82
No. of students
40
16
9
14
38
20
9
40
(iv)
Age (in years)
19 - 26
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
75 - 82
No. of students
40
16
14
9
43
20
9
40
(v)
Age (in years)
19 - 26
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
75 - 82
No. of students
40
40
9
14
43
20
9
16
Question
13
13.
Scores of 216 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
85 - 93
93 - 101
101 - 109
109 - 117
117 - 125
125 - 133
133 - 141
No. of students
50
26
18
31
35
27
29
(ii)
Score
85 - 93
93 - 101
101 - 109
109 - 117
117 - 125
125 - 133
133 - 141
No. of students
50
18
29
31
35
27
26
(iii)
Score
85 - 93
93 - 101
101 - 109
109 - 117
117 - 125
125 - 133
133 - 141
No. of students
50
29
18
29
35
27
26
(iv)
Score
85 - 93
93 - 101
101 - 109
109 - 117
117 - 125
125 - 133
133 - 141
No. of students
50
29
18
31
35
27
26
(v)
Score
85 - 93
93 - 101
101 - 109
109 - 117
117 - 125
125 - 133
133 - 141
No. of students
50
29
15
31
35
27
26
Question
14
14.
Scores of 124 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
83 - 88
89 - 94
95 - 100
101 - 106
107 - 112
113 - 118
No. of students
32
46
14
7
17
11
(ii)
Score
83 - 88
89 - 94
95 - 100
101 - 106
107 - 112
113 - 118
No. of students
32
11
46
7
17
11
(iii)
Score
83 - 88
89 - 94
95 - 100
101 - 106
107 - 112
113 - 118
No. of students
32
11
11
7
17
46
(iv)
Score
83 - 88
89 - 94
95 - 100
101 - 106
107 - 112
113 - 118
No. of students
32
46
11
7
17
11
(v)
Score
83 - 88
89 - 94
95 - 100
101 - 106
107 - 112
113 - 118
No. of students
32
46
11
5
17
11
Question
15
15.
Rainfall of 254 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
8 - 16
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
No. of days
50
50
36
45
6
11
50
6
(ii)
Rainfall (in mm)
8 - 16
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
No. of days
50
50
45
36
9
11
50
6
(iii)
Rainfall (in mm)
8 - 16
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
No. of days
50
6
45
36
6
11
50
50
(iv)
Rainfall (in mm)
8 - 16
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
No. of days
50
50
43
36
6
11
50
6
(v)
Rainfall (in mm)
8 - 16
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
No. of days
50
50
45
36
6
11
50
6
Question
16
16.
Rainfall of 208 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
10 - 15
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
No. of days
47
47
14
21
6
14
48
11
(ii)
Rainfall (in mm)
10 - 15
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
No. of days
47
11
21
14
6
14
48
47
(iii)
Rainfall (in mm)
10 - 15
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
No. of days
47
11
17
21
6
14
48
47
(iv)
Rainfall (in mm)
10 - 15
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
No. of days
47
11
14
21
6
14
48
47
(v)
Rainfall (in mm)
10 - 15
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
No. of days
47
11
14
21
11
14
48
47
Question
17
17.
Temperatures of 138 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
28 - 33
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
No. of days
26
31
20
36
5
20
(ii)
Temperature (in degree)
28 - 33
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
No. of days
26
31
20
41
5
20
(iii)
Temperature (in degree)
28 - 33
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
No. of days
26
31
16
36
5
20
(iv)
Temperature (in degree)
28 - 33
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
No. of days
26
20
20
36
5
31
(v)
Temperature (in degree)
28 - 33
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
No. of days
26
20
31
36
5
20
Question
18
18.
Temperatures of 216 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
26 - 36
37 - 47
48 - 58
59 - 69
70 - 80
81 - 91
92 - 102
No. of days
44
20
18
45
41
21
27
(ii)
Temperature (in degree)
26 - 36
37 - 47
48 - 58
59 - 69
70 - 80
81 - 91
92 - 102
No. of days
44
27
18
45
41
21
20
(iii)
Temperature (in degree)
26 - 36
37 - 47
48 - 58
59 - 69
70 - 80
81 - 91
92 - 102
No. of days
44
18
20
45
41
21
27
(iv)
Temperature (in degree)
26 - 36
37 - 47
48 - 58
59 - 69
70 - 80
81 - 91
92 - 102
No. of days
44
20
21
45
41
21
27
(v)
Temperature (in degree)
26 - 36
37 - 47
48 - 58
59 - 69
70 - 80
81 - 91
92 - 102
No. of days
44
20
18
47
41
21
27
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)
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
85 - 90
No. of students
19
37
27
16
13
7
43
(ii)
Weight (in kg)
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
85 - 90
No. of students
19
43
27
16
13
7
37
(iii)
Weight (in kg)
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
85 - 90
No. of students
19
43
32
16
13
7
37
(iv)
Weight (in kg)
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
85 - 90
No. of students
19
27
43
16
13
7
37
(v)
Weight (in kg)
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
85 - 90
No. of students
19
43
27
12
13
7
37
Question
20
20.
Weights of 176 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
57 - 65
66 - 74
75 - 83
84 - 92
93 - 101
102 - 110
111 - 119
120 - 128
No. of students
41
10
9
26
45
14
24
7
(ii)
Weight (in kg)
57 - 65
66 - 74
75 - 83
84 - 92
93 - 101
102 - 110
111 - 119
120 - 128
No. of students
41
10
26
9
45
14
24
7
(iii)
Weight (in kg)
57 - 65
66 - 74
75 - 83
84 - 92
93 - 101
102 - 110
111 - 119
120 - 128
No. of students
41
7
26
9
45
14
24
10
(iv)
Weight (in kg)
57 - 65
66 - 74
75 - 83
84 - 92
93 - 101
102 - 110
111 - 119
120 - 128
No. of students
41
10
26
9
48
14
24
7
(v)
Weight (in kg)
57 - 65
66 - 74
75 - 83
84 - 92
93 - 101
102 - 110
111 - 119
120 - 128
No. of students
41
10
28
9
45
14
24
7
Question
21
21.
Daily wages of 149 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
275 - 284
284 - 293
293 - 302
302 - 311
311 - 320
320 - 329
No. of labourers
50
32
9
33
15
14
(ii)
Daily wage (in Rs)
275 - 284
284 - 293
293 - 302
302 - 311
311 - 320
320 - 329
No. of labourers
50
14
5
33
15
32
(iii)
Daily wage (in Rs)
275 - 284
284 - 293
293 - 302
302 - 311
311 - 320
320 - 329
No. of labourers
50
32
5
30
15
14
(iv)
Daily wage (in Rs)
275 - 284
284 - 293
293 - 302
302 - 311
311 - 320
320 - 329
No. of labourers
50
32
5
33
15
14
(v)
Daily wage (in Rs)
275 - 284
284 - 293
293 - 302
302 - 311
311 - 320
320 - 329
No. of labourers
50
5
32
33
15
14
Question
22
22.
Daily wages of 211 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
222 - 229
230 - 237
238 - 245
246 - 253
254 - 261
262 - 269
270 - 277
278 - 285
No. of labourers
46
23
28
21
7
33
42
11
(ii)
Daily wage (in Rs)
222 - 229
230 - 237
238 - 245
246 - 253
254 - 261
262 - 269
270 - 277
278 - 285
No. of labourers
46
23
28
21
9
33
42
11
(iii)
Daily wage (in Rs)
222 - 229
230 - 237
238 - 245
246 - 253
254 - 261
262 - 269
270 - 277
278 - 285
No. of labourers
46
11
28
21
7
33
42
23
(iv)
Daily wage (in Rs)
222 - 229
230 - 237
238 - 245
246 - 253
254 - 261
262 - 269
270 - 277
278 - 285
No. of labourers
46
23
21
28
7
33
42
11
(v)
Daily wage (in Rs)
222 - 229
230 - 237
238 - 245
246 - 253
254 - 261
262 - 269
270 - 277
278 - 285
No. of labourers
46
23
31
21
7
33
42
11
Assignment Key
1) (iii)
2) (iv)
3) (v)
4) (ii)
5) (i)
6) (iv)
7) (ii)
8) (iv)
9) (ii)
10) (ii)
11) (i)
12) (ii)
13) (iv)
14) (iv)
15) (v)
16) (iv)
17) (i)
18) (i)
19) (ii)
20) (ii)
21) (iv)
22) (i)
