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
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
75 - 80
81 - 86
87 - 92
Frequency
26
50
34
15
41
14
33
37
(ii)
Class-Interval
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
75 - 80
81 - 86
87 - 92
Frequency
26
50
38
15
36
14
33
37
(iii)
Class-Interval
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
75 - 80
81 - 86
87 - 92
Frequency
26
37
38
15
41
14
33
50
(iv)
Class-Interval
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
75 - 80
81 - 86
87 - 92
Frequency
26
50
38
15
41
14
33
37
(v)
Class-Interval
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
75 - 80
81 - 86
87 - 92
Frequency
26
50
15
38
41
14
33
37
Question
2
2.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
Frequency
22
27
50
21
35
11
(ii)
Class-Interval
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
Frequency
22
11
50
19
35
27
(iii)
Class-Interval
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
Frequency
22
27
50
19
35
11
(iv)
Class-Interval
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
Frequency
22
27
54
19
35
11
(v)
Class-Interval
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
Frequency
22
50
27
19
35
11
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
26
11
13
26
24
(ii)
Age (in years)
33 - 37
38 - 42
43 - 47
48 - 52
53 - 57
No. of heart patients
26
24
11
26
11
(iii)
Age (in years)
33 - 37
38 - 42
43 - 47
48 - 52
53 - 57
No. of heart patients
26
24
13
26
11
(iv)
Age (in years)
33 - 37
38 - 42
43 - 47
48 - 52
53 - 57
No. of heart patients
26
13
24
26
11
(v)
Age (in years)
33 - 37
38 - 42
43 - 47
48 - 52
53 - 57
No. of heart patients
26
28
13
26
11
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 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
No. of heart patients
29
19
25
16
21
26
(ii)
Age (in years)
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
No. of heart patients
29
19
28
14
21
26
(iii)
Age (in years)
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
No. of heart patients
29
26
25
14
21
19
(iv)
Age (in years)
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
No. of heart patients
29
25
19
14
21
26
(v)
Age (in years)
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
No. of heart patients
29
19
25
14
21
26
Question
5
5.
Marks obtained by 140 students of a class in an examination are given below.
Identify the class interval table for the given frequency polygon.
(i)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
29
25
9
29
13
7
12
16
(ii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
29
16
7
29
13
7
12
25
(iii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
29
16
9
29
13
7
12
25
(iv)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
29
16
29
9
13
7
12
25
(v)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
29
16
9
29
16
7
12
25
Question
6
6.
The daily pocket expenses of 80 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
17
7
11
17
9
19
(ii)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
17
19
6
17
9
7
(iii)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
17
19
11
22
9
7
(iv)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
17
19
11
17
9
7
(v)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
17
11
19
17
9
7
Question
7
7.
Heights of 154 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
122 - 130
130 - 138
138 - 146
146 - 154
154 - 162
162 - 170
170 - 178
No. of students
26
13
20
10
39
32
12
(ii)
Height (in cm)
122 - 130
130 - 138
138 - 146
146 - 154
154 - 162
162 - 170
170 - 178
No. of students
26
13
22
7
39
32
12
(iii)
Height (in cm)
122 - 130
130 - 138
138 - 146
146 - 154
154 - 162
162 - 170
170 - 178
No. of students
26
12
22
10
39
32
13
(iv)
Height (in cm)
122 - 130
130 - 138
138 - 146
146 - 154
154 - 162
162 - 170
170 - 178
No. of students
26
22
13
10
39
32
12
(v)
Height (in cm)
122 - 130
130 - 138
138 - 146
146 - 154
154 - 162
162 - 170
170 - 178
No. of students
26
13
22
10
39
32
12
Question
8
8.
Heights of 277 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
126 - 136
137 - 147
148 - 158
159 - 169
170 - 180
181 - 191
192 - 202
203 - 213
No. of students
50
48
13
45
45
27
11
43
(ii)
Height (in cm)
126 - 136
137 - 147
148 - 158
159 - 169
170 - 180
181 - 191
192 - 202
203 - 213
No. of students
50
48
45
8
45
27
11
43
(iii)
Height (in cm)
126 - 136
137 - 147
148 - 158
159 - 169
170 - 180
181 - 191
192 - 202
203 - 213
No. of students
50
48
8
45
47
27
11
43
(iv)
Height (in cm)
126 - 136
137 - 147
148 - 158
159 - 169
170 - 180
181 - 191
192 - 202
203 - 213
No. of students
50
48
8
45
45
27
11
43
(v)
Height (in cm)
126 - 136
137 - 147
148 - 158
159 - 169
170 - 180
181 - 191
192 - 202
203 - 213
No. of students
50
43
8
45
45
27
11
48
Question
9
9.
Heights of 164 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
60 - 68
68 - 76
76 - 84
84 - 92
92 - 100
No. of plants
36
45
33
25
20
(ii)
Height (in cm)
60 - 68
68 - 76
76 - 84
84 - 92
92 - 100
No. of plants
36
45
38
25
20
(iii)
Height (in cm)
60 - 68
68 - 76
76 - 84
84 - 92
92 - 100
No. of plants
36
38
45
25
20
(iv)
Height (in cm)
60 - 68
68 - 76
76 - 84
84 - 92
92 - 100
No. of plants
36
20
38
25
45
(v)
Height (in cm)
60 - 68
68 - 76
76 - 84
84 - 92
92 - 100
No. of plants
36
43
38
25
20
Question
10
10.
Heights of 176 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
70 - 78
79 - 87
88 - 96
97 - 105
106 - 114
115 - 123
124 - 132
No. of plants
20
41
22
10
18
20
41
(ii)
Height (in cm)
70 - 78
79 - 87
88 - 96
97 - 105
106 - 114
115 - 123
124 - 132
No. of plants
20
26
41
10
18
20
41
(iii)
Height (in cm)
70 - 78
79 - 87
88 - 96
97 - 105
106 - 114
115 - 123
124 - 132
No. of plants
20
41
26
13
18
20
41
(iv)
Height (in cm)
70 - 78
79 - 87
88 - 96
97 - 105
106 - 114
115 - 123
124 - 132
No. of plants
20
41
26
10
18
20
41
Question
11
11.
Ages of 124 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
No. of students
5
35
40
18
23
(ii)
Age (in years)
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
No. of students
5
23
40
18
38
(iii)
Age (in years)
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
No. of students
5
38
45
18
23
(iv)
Age (in years)
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
No. of students
5
38
40
18
23
(v)
Age (in years)
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
No. of students
5
40
38
18
23
Question
12
12.
Ages of 213 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of students
15
38
42
41
47
18
8
(ii)
Age (in years)
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of students
15
8
46
41
47
18
38
(iii)
Age (in years)
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of students
15
38
46
43
47
18
8
(iv)
Age (in years)
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of students
15
46
38
41
47
18
8
(v)
Age (in years)
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of students
15
38
46
41
47
18
8
Question
13
13.
Scores of 199 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
87 - 93
93 - 99
99 - 105
105 - 111
111 - 117
117 - 123
123 - 129
No. of students
5
38
22
38
16
33
47
(ii)
Score
87 - 93
93 - 99
99 - 105
105 - 111
111 - 117
117 - 123
123 - 129
No. of students
5
22
38
35
16
33
47
(iii)
Score
87 - 93
93 - 99
99 - 105
105 - 111
111 - 117
117 - 123
123 - 129
No. of students
5
22
43
38
16
33
47
(iv)
Score
87 - 93
93 - 99
99 - 105
105 - 111
111 - 117
117 - 123
123 - 129
No. of students
5
47
38
38
16
33
22
(v)
Score
87 - 93
93 - 99
99 - 105
105 - 111
111 - 117
117 - 123
123 - 129
No. of students
5
22
38
38
16
33
47
Question
14
14.
Scores of 184 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
72 - 79
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
No. of students
41
17
47
31
19
29
(ii)
Score
72 - 79
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
No. of students
41
47
17
31
19
29
(iii)
Score
72 - 79
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
No. of students
41
47
14
31
19
29
(iv)
Score
72 - 79
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
No. of students
41
47
17
35
19
29
(v)
Score
72 - 79
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
No. of students
41
29
17
31
19
47
Question
15
15.
Rainfall of 184 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
14 - 23
23 - 32
32 - 41
41 - 50
50 - 59
59 - 68
No. of days
31
13
48
34
35
23
(ii)
Rainfall (in mm)
14 - 23
23 - 32
32 - 41
41 - 50
50 - 59
59 - 68
No. of days
31
23
48
39
35
13
(iii)
Rainfall (in mm)
14 - 23
23 - 32
32 - 41
41 - 50
50 - 59
59 - 68
No. of days
31
23
48
34
35
13
(iv)
Rainfall (in mm)
14 - 23
23 - 32
32 - 41
41 - 50
50 - 59
59 - 68
No. of days
31
23
51
34
35
13
(v)
Rainfall (in mm)
14 - 23
23 - 32
32 - 41
41 - 50
50 - 59
59 - 68
No. of days
31
48
23
34
35
13
Question
16
16.
Rainfall of 123 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
8 - 15
16 - 23
24 - 31
32 - 39
40 - 47
No. of days
15
31
26
15
36
(ii)
Rainfall (in mm)
8 - 15
16 - 23
24 - 31
32 - 39
40 - 47
No. of days
15
26
31
15
36
(iii)
Rainfall (in mm)
8 - 15
16 - 23
24 - 31
32 - 39
40 - 47
No. of days
15
36
31
15
26
(iv)
Rainfall (in mm)
8 - 15
16 - 23
24 - 31
32 - 39
40 - 47
No. of days
15
26
29
15
36
(v)
Rainfall (in mm)
8 - 15
16 - 23
24 - 31
32 - 39
40 - 47
No. of days
15
23
31
15
36
Question
17
17.
Temperatures of 153 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
No. of days
37
16
27
9
41
23
(ii)
Temperature (in degree)
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
No. of days
37
16
30
9
41
23
(iii)
Temperature (in degree)
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
No. of days
37
23
27
9
41
16
(iv)
Temperature (in degree)
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
No. of days
37
16
27
11
41
23
(v)
Temperature (in degree)
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
No. of days
37
27
16
9
41
23
Question
18
18.
Temperatures of 57 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of days
6
25
6
8
12
(ii)
Temperature (in degree)
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of days
6
12
6
8
25
(iii)
Temperature (in degree)
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of days
6
23
6
8
12
(iv)
Temperature (in degree)
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of days
6
25
3
8
12
(v)
Temperature (in degree)
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of days
6
6
25
8
12
Question
19
19.
Weights of 159 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
49 - 58
58 - 67
67 - 76
76 - 85
85 - 94
94 - 103
103 - 112
No. of students
24
21
14
9
21
42
23
(ii)
Weight (in kg)
49 - 58
58 - 67
67 - 76
76 - 85
85 - 94
94 - 103
103 - 112
No. of students
24
19
21
9
21
42
23
(iii)
Weight (in kg)
49 - 58
58 - 67
67 - 76
76 - 85
85 - 94
94 - 103
103 - 112
No. of students
24
23
19
9
21
42
21
(iv)
Weight (in kg)
49 - 58
58 - 67
67 - 76
76 - 85
85 - 94
94 - 103
103 - 112
No. of students
24
21
19
9
21
42
23
(v)
Weight (in kg)
49 - 58
58 - 67
67 - 76
76 - 85
85 - 94
94 - 103
103 - 112
No. of students
24
21
19
6
21
42
23
Question
20
20.
Weights of 189 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
57 - 64
65 - 72
73 - 80
81 - 88
89 - 96
97 - 104
105 - 112
No. of students
7
21
43
24
6
41
47
(ii)
Weight (in kg)
57 - 64
65 - 72
73 - 80
81 - 88
89 - 96
97 - 104
105 - 112
No. of students
7
47
41
24
6
41
21
(iii)
Weight (in kg)
57 - 64
65 - 72
73 - 80
81 - 88
89 - 96
97 - 104
105 - 112
No. of students
7
43
47
24
6
41
21
(iv)
Weight (in kg)
57 - 64
65 - 72
73 - 80
81 - 88
89 - 96
97 - 104
105 - 112
No. of students
7
47
43
24
6
41
21
(v)
Weight (in kg)
57 - 64
65 - 72
73 - 80
81 - 88
89 - 96
97 - 104
105 - 112
No. of students
7
47
43
21
6
41
21
Question
21
21.
Daily wages of 252 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
222 - 228
228 - 234
234 - 240
240 - 246
246 - 252
252 - 258
258 - 264
No. of labourers
42
46
46
42
22
30
24
(ii)
Daily wage (in Rs)
222 - 228
228 - 234
234 - 240
240 - 246
246 - 252
252 - 258
258 - 264
No. of labourers
42
24
46
42
22
30
46
(iii)
Daily wage (in Rs)
222 - 228
228 - 234
234 - 240
240 - 246
246 - 252
252 - 258
258 - 264
No. of labourers
42
24
46
44
22
30
46
(iv)
Daily wage (in Rs)
222 - 228
228 - 234
234 - 240
240 - 246
246 - 252
252 - 258
258 - 264
No. of labourers
42
24
42
42
22
30
46
(v)
Daily wage (in Rs)
222 - 228
228 - 234
234 - 240
240 - 246
246 - 252
252 - 258
258 - 264
No. of labourers
42
46
24
42
22
30
46
Question
22
22.
Daily wages of 166 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
205 - 210
211 - 216
217 - 222
223 - 228
229 - 234
235 - 240
241 - 246
247 - 252
No. of labourers
6
6
44
38
12
12
40
8
(ii)
Daily wage (in Rs)
205 - 210
211 - 216
217 - 222
223 - 228
229 - 234
235 - 240
241 - 246
247 - 252
No. of labourers
6
6
41
44
12
12
40
8
(iii)
Daily wage (in Rs)
205 - 210
211 - 216
217 - 222
223 - 228
229 - 234
235 - 240
241 - 246
247 - 252
No. of labourers
6
6
38
44
12
12
40
8
(iv)
Daily wage (in Rs)
205 - 210
211 - 216
217 - 222
223 - 228
229 - 234
235 - 240
241 - 246
247 - 252
No. of labourers
6
6
38
44
10
12
40
8
(v)
Daily wage (in Rs)
205 - 210
211 - 216
217 - 222
223 - 228
229 - 234
235 - 240
241 - 246
247 - 252
No. of labourers
6
8
38
44
12
12
40
6
Assignment Key
1) (iv)
2) (iii)
3) (iii)
4) (v)
5) (iii)
6) (iv)
7) (v)
8) (iv)
9) (ii)
10) (iv)
11) (iv)
12) (v)
13) (v)
14) (ii)
15) (iii)
16) (ii)
17) (i)
18) (i)
19) (iv)
20) (iv)
21) (ii)
22) (iii)