EduSahara™ Assignment
Name : Histogram and Frequency Polygon on the same Graph
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 histogram and frequency polygon on the same graph.
(i)
Class-Interval
13 - 21
21 - 29
29 - 37
37 - 45
45 - 53
53 - 61
Frequency
65
23
24
90
44
64
(ii)
Class-Interval
13 - 21
21 - 29
29 - 37
37 - 45
45 - 53
53 - 61
Frequency
65
23
29
90
44
64
(iii)
Class-Interval
13 - 21
21 - 29
29 - 37
37 - 45
45 - 53
53 - 61
Frequency
65
64
29
90
44
23
(iv)
Class-Interval
13 - 21
21 - 29
29 - 37
37 - 45
45 - 53
53 - 61
Frequency
65
23
29
92
44
64
(v)
Class-Interval
13 - 21
21 - 29
29 - 37
37 - 45
45 - 53
53 - 61
Frequency
65
29
23
90
44
64
Question
2
2.
Given the number of doctors working in government hospitals in a city in various age groups. Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Age (in years)
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
No. of doctors
37
17
39
27
48
43
11
19
(ii)
Age (in years)
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
No. of doctors
37
17
27
39
48
43
11
19
(iii)
Age (in years)
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
No. of doctors
37
17
39
27
44
43
11
19
(iv)
Age (in years)
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
No. of doctors
37
19
39
27
48
43
11
17
(v)
Age (in years)
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
No. of doctors
37
17
44
27
48
43
11
19
Question
3
3.
Given below is the cost of living index for a particular year in a city. Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Cost of living index (in rupees)
131 - 136
136 - 141
141 - 146
146 - 151
151 - 156
No. of weeks
9
8
9
10
5
(ii)
Cost of living index (in rupees)
131 - 136
136 - 141
141 - 146
146 - 151
151 - 156
No. of weeks
9
5
8
10
9
(iii)
Cost of living index (in rupees)
131 - 136
136 - 141
141 - 146
146 - 151
151 - 156
No. of weeks
9
9
8
10
5
(iv)
Cost of living index (in rupees)
131 - 136
136 - 141
141 - 146
146 - 151
151 - 156
No. of weeks
9
9
5
10
5
(v)
Cost of living index (in rupees)
131 - 136
136 - 141
141 - 146
146 - 151
151 - 156
No. of weeks
9
12
8
10
5
Question
4
4.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
14 - 20
21 - 27
28 - 34
35 - 41
42 - 48
49 - 55
Frequency
56
12
52
41
77
24
(ii)
Class-Interval
14 - 20
21 - 27
28 - 34
35 - 41
42 - 48
49 - 55
Frequency
56
24
52
46
77
12
(iii)
Class-Interval
14 - 20
21 - 27
28 - 34
35 - 41
42 - 48
49 - 55
Frequency
56
52
24
41
77
12
(iv)
Class-Interval
14 - 20
21 - 27
28 - 34
35 - 41
42 - 48
49 - 55
Frequency
56
24
52
41
77
12
(v)
Class-Interval
14 - 20
21 - 27
28 - 34
35 - 41
42 - 48
49 - 55
Frequency
56
24
56
41
77
12
Question
5
5.
Given the number of doctors working in government hospitals in a city in various age groups. Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Age (in years)
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
80 - 90
No. of doctors
14
44
16
37
25
19
(ii)
Age (in years)
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
80 - 90
No. of doctors
14
19
18
37
25
44
(iii)
Age (in years)
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
80 - 90
No. of doctors
14
19
16
42
25
44
(iv)
Age (in years)
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
80 - 90
No. of doctors
14
19
16
37
25
44
(v)
Age (in years)
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
80 - 90
No. of doctors
14
16
19
37
25
44
Question
6
6.
Given below is the cost of living index for a particular year in a city. Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Cost of living index (in rupees)
151 - 158
159 - 166
167 - 174
175 - 182
183 - 190
No. of weeks
9
3
8
10
7
(ii)
Cost of living index (in rupees)
151 - 158
159 - 166
167 - 174
175 - 182
183 - 190
No. of weeks
9
6
8
10
7
(iii)
Cost of living index (in rupees)
151 - 158
159 - 166
167 - 174
175 - 182
183 - 190
No. of weeks
9
7
8
10
6
(iv)
Cost of living index (in rupees)
151 - 158
159 - 166
167 - 174
175 - 182
183 - 190
No. of weeks
9
8
6
10
7
(v)
Cost of living index (in rupees)
151 - 158
159 - 166
167 - 174
175 - 182
183 - 190
No. of weeks
9
6
3
10
7
Question
7
7.
Heights of 272 students (in cm) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Height (in cm)
125 - 131
131 - 137
137 - 143
143 - 149
149 - 155
155 - 161
161 - 167
167 - 173
No. of students
41
26
8
46
44
33
25
49
(ii)
Height (in cm)
125 - 131
131 - 137
137 - 143
143 - 149
149 - 155
155 - 161
161 - 167
167 - 173
No. of students
41
49
8
46
41
33
25
26
(iii)
Height (in cm)
125 - 131
131 - 137
137 - 143
143 - 149
149 - 155
155 - 161
161 - 167
167 - 173
No. of students
41
49
13
46
44
33
25
26
(iv)
Height (in cm)
125 - 131
131 - 137
137 - 143
143 - 149
149 - 155
155 - 161
161 - 167
167 - 173
No. of students
41
49
8
46
44
33
25
26
(v)
Height (in cm)
125 - 131
131 - 137
137 - 143
143 - 149
149 - 155
155 - 161
161 - 167
167 - 173
No. of students
41
49
46
8
44
33
25
26
Question
8
8.
Heights of 159 students (in cm) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Height (in cm)
124 - 132
133 - 141
142 - 150
151 - 159
160 - 168
169 - 177
178 - 186
No. of students
19
25
25
7
41
18
24
(ii)
Height (in cm)
124 - 132
133 - 141
142 - 150
151 - 159
160 - 168
169 - 177
178 - 186
No. of students
19
24
25
7
41
18
25
(iii)
Height (in cm)
124 - 132
133 - 141
142 - 150
151 - 159
160 - 168
169 - 177
178 - 186
No. of students
19
24
25
2
41
18
25
(iv)
Height (in cm)
124 - 132
133 - 141
142 - 150
151 - 159
160 - 168
169 - 177
178 - 186
No. of students
19
25
24
7
41
18
25
(v)
Height (in cm)
124 - 132
133 - 141
142 - 150
151 - 159
160 - 168
169 - 177
178 - 186
No. of students
19
24
22
7
41
18
25
Question
9
9.
Heights of 209 plants (in cm) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Height (in cm)
58 - 65
65 - 72
72 - 79
79 - 86
86 - 93
93 - 100
100 - 107
107 - 114
No. of plants
45
37
52
13
12
39
5
9
(ii)
Height (in cm)
58 - 65
65 - 72
72 - 79
79 - 86
86 - 93
93 - 100
100 - 107
107 - 114
No. of plants
45
37
49
13
12
39
5
9
(iii)
Height (in cm)
58 - 65
65 - 72
72 - 79
79 - 86
86 - 93
93 - 100
100 - 107
107 - 114
No. of plants
45
37
49
13
16
39
5
9
(iv)
Height (in cm)
58 - 65
65 - 72
72 - 79
79 - 86
86 - 93
93 - 100
100 - 107
107 - 114
No. of plants
45
9
49
13
12
39
5
37
(v)
Height (in cm)
58 - 65
65 - 72
72 - 79
79 - 86
86 - 93
93 - 100
100 - 107
107 - 114
No. of plants
45
37
13
49
12
39
5
9
Question
10
10.
Heights of 154 plants (in cm) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Height (in cm)
52 - 60
61 - 69
70 - 78
79 - 87
88 - 96
97 - 105
No. of plants
14
28
38
15
37
17
(ii)
Height (in cm)
52 - 60
61 - 69
70 - 78
79 - 87
88 - 96
97 - 105
No. of plants
14
43
28
15
37
17
(iii)
Height (in cm)
52 - 60
61 - 69
70 - 78
79 - 87
88 - 96
97 - 105
No. of plants
14
17
43
15
37
28
(iv)
Height (in cm)
52 - 60
61 - 69
70 - 78
79 - 87
88 - 96
97 - 105
No. of plants
14
28
43
10
37
17
(v)
Height (in cm)
52 - 60
61 - 69
70 - 78
79 - 87
88 - 96
97 - 105
No. of plants
14
28
43
15
37
17
Question
11
11.
Ages of 90 students (in years) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Age (in years)
11 - 19
19 - 27
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
No. of students
10
11
11
31
16
6
5
(ii)
Age (in years)
11 - 19
19 - 27
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
No. of students
10
5
11
31
16
6
11
(iii)
Age (in years)
11 - 19
19 - 27
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
No. of students
10
5
11
26
16
6
11
(iv)
Age (in years)
11 - 19
19 - 27
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
No. of students
10
11
5
31
16
6
11
(v)
Age (in years)
11 - 19
19 - 27
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
No. of students
10
5
16
31
16
6
11
Question
12
12.
Ages of 174 students (in years) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Age (in years)
17 - 22
23 - 28
29 - 34
35 - 40
41 - 46
47 - 52
No. of students
20
17
44
17
40
36
(ii)
Age (in years)
17 - 22
23 - 28
29 - 34
35 - 40
41 - 46
47 - 52
No. of students
20
36
49
17
40
17
(iii)
Age (in years)
17 - 22
23 - 28
29 - 34
35 - 40
41 - 46
47 - 52
No. of students
20
44
36
17
40
17
(iv)
Age (in years)
17 - 22
23 - 28
29 - 34
35 - 40
41 - 46
47 - 52
No. of students
20
36
44
12
40
17
(v)
Age (in years)
17 - 22
23 - 28
29 - 34
35 - 40
41 - 46
47 - 52
No. of students
20
36
44
17
40
17
Question
13
13.
Scores of 99 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
89 - 94
94 - 99
99 - 104
104 - 109
109 - 114
114 - 119
No. of students
20
7
31
9
9
23
(ii)
Score
89 - 94
94 - 99
99 - 104
104 - 109
109 - 114
114 - 119
No. of students
20
23
31
9
9
7
(iii)
Score
89 - 94
94 - 99
99 - 104
104 - 109
109 - 114
114 - 119
No. of students
20
7
28
9
9
23
(iv)
Score
89 - 94
94 - 99
99 - 104
104 - 109
109 - 114
114 - 119
No. of students
20
31
7
9
9
23
(v)
Score
89 - 94
94 - 99
99 - 104
104 - 109
109 - 114
114 - 119
No. of students
20
7
31
4
9
23
Question
14
14.
Scores of 245 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
87 - 94
95 - 102
103 - 110
111 - 118
119 - 126
127 - 134
135 - 142
143 - 150
No. of students
35
48
35
38
10
37
29
13
(ii)
Score
87 - 94
95 - 102
103 - 110
111 - 118
119 - 126
127 - 134
135 - 142
143 - 150
No. of students
35
13
31
38
10
37
29
48
(iii)
Score
87 - 94
95 - 102
103 - 110
111 - 118
119 - 126
127 - 134
135 - 142
143 - 150
No. of students
35
13
35
38
10
37
29
48
(iv)
Score
87 - 94
95 - 102
103 - 110
111 - 118
119 - 126
127 - 134
135 - 142
143 - 150
No. of students
35
13
35
38
8
37
29
48
(v)
Score
87 - 94
95 - 102
103 - 110
111 - 118
119 - 126
127 - 134
135 - 142
143 - 150
No. of students
35
13
38
35
10
37
29
48
Question
15
15.
Rainfall of 186 days (in mm) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Rainfall (in mm)
8 - 16
16 - 24
24 - 32
32 - 40
40 - 48
No. of days
32
50
50
48
6
(ii)
Rainfall (in mm)
8 - 16
16 - 24
24 - 32
32 - 40
40 - 48
No. of days
32
50
53
48
6
(iii)
Rainfall (in mm)
8 - 16
16 - 24
24 - 32
32 - 40
40 - 48
No. of days
32
45
50
48
6
(iv)
Rainfall (in mm)
8 - 16
16 - 24
24 - 32
32 - 40
40 - 48
No. of days
32
6
50
48
50
Question
16
16.
Rainfall of 126 days (in mm) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Rainfall (in mm)
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
No. of days
48
7
8
20
40
(ii)
Rainfall (in mm)
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
No. of days
48
40
8
20
10
(iii)
Rainfall (in mm)
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
No. of days
48
10
8
20
40
(iv)
Rainfall (in mm)
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
No. of days
48
10
13
20
40
(v)
Rainfall (in mm)
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
No. of days
48
8
10
20
40
Question
17
17.
Temperatures of 179 days (in °C) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Temperature (in degree)
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
No. of days
13
45
39
36
16
30
(ii)
Temperature (in degree)
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
No. of days
13
39
30
36
16
45
(iii)
Temperature (in degree)
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
No. of days
13
30
43
36
16
45
(iv)
Temperature (in degree)
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
No. of days
13
30
39
36
16
45
(v)
Temperature (in degree)
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
No. of days
13
30
39
34
16
45
Question
18
18.
Temperatures of 235 days (in °C) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Temperature (in degree)
25 - 31
32 - 38
39 - 45
46 - 52
53 - 59
60 - 66
67 - 73
No. of days
42
44
33
34
12
28
38
(ii)
Temperature (in degree)
25 - 31
32 - 38
39 - 45
46 - 52
53 - 59
60 - 66
67 - 73
No. of days
42
44
37
38
12
28
38
(iii)
Temperature (in degree)
25 - 31
32 - 38
39 - 45
46 - 52
53 - 59
60 - 66
67 - 73
No. of days
42
38
33
38
12
28
44
(iv)
Temperature (in degree)
25 - 31
32 - 38
39 - 45
46 - 52
53 - 59
60 - 66
67 - 73
No. of days
42
33
44
38
12
28
38
(v)
Temperature (in degree)
25 - 31
32 - 38
39 - 45
46 - 52
53 - 59
60 - 66
67 - 73
No. of days
42
44
33
38
12
28
38
Question
19
19.
Weights of 259 students (in kg) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Weight (in kg)
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
81 - 86
No. of students
45
40
27
35
50
39
19
(ii)
Weight (in kg)
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
81 - 86
No. of students
45
19
27
39
50
39
40
(iii)
Weight (in kg)
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
81 - 86
No. of students
45
40
25
39
50
39
19
(iv)
Weight (in kg)
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
81 - 86
No. of students
45
40
27
39
50
39
19
(v)
Weight (in kg)
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
81 - 86
No. of students
45
27
40
39
50
39
19
Question
20
20.
Weights of 143 students (in kg) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Weight (in kg)
48 - 56
57 - 65
66 - 74
75 - 83
84 - 92
93 - 101
102 - 110
111 - 119
No. of students
22
11
14
8
5
39
6
38
(ii)
Weight (in kg)
48 - 56
57 - 65
66 - 74
75 - 83
84 - 92
93 - 101
102 - 110
111 - 119
No. of students
22
38
8
14
5
39
6
11
(iii)
Weight (in kg)
48 - 56
57 - 65
66 - 74
75 - 83
84 - 92
93 - 101
102 - 110
111 - 119
No. of students
22
11
3
14
5
39
6
38
(iv)
Weight (in kg)
48 - 56
57 - 65
66 - 74
75 - 83
84 - 92
93 - 101
102 - 110
111 - 119
No. of students
22
11
8
14
2
39
6
38
(v)
Weight (in kg)
48 - 56
57 - 65
66 - 74
75 - 83
84 - 92
93 - 101
102 - 110
111 - 119
No. of students
22
11
8
14
5
39
6
38
Question
21
21.
Daily wages of 181 labourers (in ₹) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Daily wage(in Rs)
256 - 262
262 - 268
268 - 274
274 - 280
280 - 286
286 - 292
No. of labourers
40
5
47
39
21
32
(ii)
Daily wage(in Rs)
256 - 262
262 - 268
268 - 274
274 - 280
280 - 286
286 - 292
No. of labourers
40
5
44
39
21
32
(iii)
Daily wage(in Rs)
256 - 262
262 - 268
268 - 274
274 - 280
280 - 286
286 - 292
No. of labourers
40
44
5
39
21
32
(iv)
Daily wage(in Rs)
256 - 262
262 - 268
268 - 274
274 - 280
280 - 286
286 - 292
No. of labourers
40
32
44
39
21
5
(v)
Daily wage(in Rs)
256 - 262
262 - 268
268 - 274
274 - 280
280 - 286
286 - 292
No. of labourers
40
5
44
36
21
32
Question
22
22.
Daily wages of 97 labourers (in ₹) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Daily wage(in Rs)
209 - 219
220 - 230
231 - 241
242 - 252
253 - 263
No. of labourers
17
20
39
10
11
(ii)
Daily wage(in Rs)
209 - 219
220 - 230
231 - 241
242 - 252
253 - 263
No. of labourers
17
42
20
10
11
(iii)
Daily wage(in Rs)
209 - 219
220 - 230
231 - 241
242 - 252
253 - 263
No. of labourers
17
39
16
10
11
(iv)
Daily wage(in Rs)
209 - 219
220 - 230
231 - 241
242 - 252
253 - 263
No. of labourers
17
39
20
10
11
(v)
Daily wage(in Rs)
209 - 219
220 - 230
231 - 241
242 - 252
253 - 263
No. of labourers
17
11
20
10
39
Assignment Key
1) (ii)
2) (i)
3) (iii)
4) (iv)
5) (iv)
6) (ii)
7) (iv)
8) (ii)
9) (ii)
10) (v)
11) (ii)
12) (v)
13) (i)
14) (iii)
15) (i)
16) (iii)
17) (iv)
18) (v)
19) (iv)
20) (v)
21) (ii)
22) (iv)