EduSahara™ Assignment
Name : Histogram and Frequency Polygon on the same Graph
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 histogram and frequency polygon on the same graph.
(i)
Class-Interval
27 - 36
36 - 45
45 - 54
54 - 63
63 - 72
72 - 81
Frequency
38
35
60
77
87
18
(ii)
Class-Interval
27 - 36
36 - 45
45 - 54
54 - 63
63 - 72
72 - 81
Frequency
38
35
60
80
87
18
(iii)
Class-Interval
27 - 36
36 - 45
45 - 54
54 - 63
63 - 72
72 - 81
Frequency
38
35
63
80
87
18
(iv)
Class-Interval
27 - 36
36 - 45
45 - 54
54 - 63
63 - 72
72 - 81
Frequency
38
60
35
80
87
18
(v)
Class-Interval
27 - 36
36 - 45
45 - 54
54 - 63
63 - 72
72 - 81
Frequency
38
18
60
80
87
35
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)
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
No. of doctors
46
32
37
25
41
(ii)
Age (in years)
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
No. of doctors
46
35
33
25
41
(iii)
Age (in years)
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
No. of doctors
46
41
33
25
32
(iv)
Age (in years)
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
No. of doctors
46
33
32
25
41
(v)
Age (in years)
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
No. of doctors
46
32
33
25
41
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)
194 - 199
199 - 204
204 - 209
209 - 214
214 - 219
219 - 224
No. of weeks
8
7
10
8
8
6
(ii)
Cost of living index (in rupees)
194 - 199
199 - 204
204 - 209
209 - 214
214 - 219
219 - 224
No. of weeks
8
6
7
8
8
10
(iii)
Cost of living index (in rupees)
194 - 199
199 - 204
204 - 209
209 - 214
214 - 219
219 - 224
No. of weeks
8
10
7
4
8
6
(iv)
Cost of living index (in rupees)
194 - 199
199 - 204
204 - 209
209 - 214
214 - 219
219 - 224
No. of weeks
8
10
12
8
8
6
(v)
Cost of living index (in rupees)
194 - 199
199 - 204
204 - 209
209 - 214
214 - 219
219 - 224
No. of weeks
8
10
7
8
8
6
Question
4
4.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
30 - 38
39 - 47
48 - 56
57 - 65
66 - 74
75 - 83
84 - 92
Frequency
81
24
48
18
43
44
52
(ii)
Class-Interval
30 - 38
39 - 47
48 - 56
57 - 65
66 - 74
75 - 83
84 - 92
Frequency
81
24
48
22
43
44
52
(iii)
Class-Interval
30 - 38
39 - 47
48 - 56
57 - 65
66 - 74
75 - 83
84 - 92
Frequency
81
24
50
22
43
44
52
(iv)
Class-Interval
30 - 38
39 - 47
48 - 56
57 - 65
66 - 74
75 - 83
84 - 92
Frequency
81
52
48
22
43
44
24
(v)
Class-Interval
30 - 38
39 - 47
48 - 56
57 - 65
66 - 74
75 - 83
84 - 92
Frequency
81
48
24
22
43
44
52
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)
33 - 40
41 - 48
49 - 56
57 - 64
65 - 72
73 - 80
81 - 88
89 - 96
No. of doctors
15
50
48
35
17
45
25
46
(ii)
Age (in years)
33 - 40
41 - 48
49 - 56
57 - 64
65 - 72
73 - 80
81 - 88
89 - 96
No. of doctors
15
50
35
48
17
45
25
46
(iii)
Age (in years)
33 - 40
41 - 48
49 - 56
57 - 64
65 - 72
73 - 80
81 - 88
89 - 96
No. of doctors
15
50
48
35
20
45
25
46
(iv)
Age (in years)
33 - 40
41 - 48
49 - 56
57 - 64
65 - 72
73 - 80
81 - 88
89 - 96
No. of doctors
15
50
46
35
17
45
25
46
(v)
Age (in years)
33 - 40
41 - 48
49 - 56
57 - 64
65 - 72
73 - 80
81 - 88
89 - 96
No. of doctors
15
46
48
35
17
45
25
50
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)
124 - 132
133 - 141
142 - 150
151 - 159
160 - 168
169 - 177
No. of weeks
6
5
8
10
9
5
(ii)
Cost of living index (in rupees)
124 - 132
133 - 141
142 - 150
151 - 159
160 - 168
169 - 177
No. of weeks
6
8
5
8
9
5
(iii)
Cost of living index (in rupees)
124 - 132
133 - 141
142 - 150
151 - 159
160 - 168
169 - 177
No. of weeks
6
8
10
10
9
5
(iv)
Cost of living index (in rupees)
124 - 132
133 - 141
142 - 150
151 - 159
160 - 168
169 - 177
No. of weeks
6
5
5
10
9
8
(v)
Cost of living index (in rupees)
124 - 132
133 - 141
142 - 150
151 - 159
160 - 168
169 - 177
No. of weeks
6
8
5
10
9
5
Question
7
7.
Heights of 170 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)
126 - 131
131 - 136
136 - 141
141 - 146
146 - 151
151 - 156
156 - 161
No. of students
10
7
28
48
35
5
37
(ii)
Height (in cm)
126 - 131
131 - 136
136 - 141
141 - 146
146 - 151
151 - 156
156 - 161
No. of students
10
28
11
48
35
5
37
(iii)
Height (in cm)
126 - 131
131 - 136
136 - 141
141 - 146
146 - 151
151 - 156
156 - 161
No. of students
10
28
7
48
35
5
37
(iv)
Height (in cm)
126 - 131
131 - 136
136 - 141
141 - 146
146 - 151
151 - 156
156 - 161
No. of students
10
37
7
48
35
5
28
(v)
Height (in cm)
126 - 131
131 - 136
136 - 141
141 - 146
146 - 151
151 - 156
156 - 161
No. of students
10
28
7
44
35
5
37
Question
8
8.
Heights of 147 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)
128 - 137
138 - 147
148 - 157
158 - 167
168 - 177
No. of students
37
41
20
12
37
(ii)
Height (in cm)
128 - 137
138 - 147
148 - 157
158 - 167
168 - 177
No. of students
37
20
41
12
37
(iii)
Height (in cm)
128 - 137
138 - 147
148 - 157
158 - 167
168 - 177
No. of students
37
41
25
12
37
(iv)
Height (in cm)
128 - 137
138 - 147
148 - 157
158 - 167
168 - 177
No. of students
37
43
20
12
37
(v)
Height (in cm)
128 - 137
138 - 147
148 - 157
158 - 167
168 - 177
No. of students
37
37
20
12
41
Question
9
9.
Heights of 172 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)
55 - 63
63 - 71
71 - 79
79 - 87
87 - 95
95 - 103
No. of plants
26
36
1
49
31
25
(ii)
Height (in cm)
55 - 63
63 - 71
71 - 79
79 - 87
87 - 95
95 - 103
No. of plants
26
36
5
46
31
25
(iii)
Height (in cm)
55 - 63
63 - 71
71 - 79
79 - 87
87 - 95
95 - 103
No. of plants
26
25
5
49
31
36
(iv)
Height (in cm)
55 - 63
63 - 71
71 - 79
79 - 87
87 - 95
95 - 103
No. of plants
26
5
36
49
31
25
(v)
Height (in cm)
55 - 63
63 - 71
71 - 79
79 - 87
87 - 95
95 - 103
No. of plants
26
36
5
49
31
25
Question
10
10.
Heights of 283 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)
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
91 - 96
97 - 102
103 - 108
No. of plants
32
41
44
34
42
43
20
27
(ii)
Height (in cm)
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
91 - 96
97 - 102
103 - 108
No. of plants
32
41
44
34
38
43
20
27
(iii)
Height (in cm)
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
91 - 96
97 - 102
103 - 108
No. of plants
32
27
44
34
42
43
20
41
(iv)
Height (in cm)
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
91 - 96
97 - 102
103 - 108
No. of plants
32
41
34
44
42
43
20
27
(v)
Height (in cm)
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
91 - 96
97 - 102
103 - 108
No. of plants
32
41
41
34
42
43
20
27
Question
11
11.
Ages of 141 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)
19 - 25
25 - 31
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
No. of students
24
21
27
5
16
28
20
(ii)
Age (in years)
19 - 25
25 - 31
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
No. of students
24
27
23
5
16
28
20
(iii)
Age (in years)
19 - 25
25 - 31
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
No. of students
24
27
21
5
16
28
20
(iv)
Age (in years)
19 - 25
25 - 31
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
No. of students
24
20
21
5
16
28
27
(v)
Age (in years)
19 - 25
25 - 31
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
No. of students
24
27
21
2
16
28
20
Question
12
12.
Ages of 202 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)
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
No. of students
22
19
17
6
47
16
44
31
(ii)
Age (in years)
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
No. of students
22
19
6
17
44
16
44
31
(iii)
Age (in years)
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
No. of students
22
19
6
17
47
16
44
31
(iv)
Age (in years)
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
No. of students
22
19
3
17
47
16
44
31
(v)
Age (in years)
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
No. of students
22
31
6
17
47
16
44
19
Question
13
13.
Scores of 297 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
77 - 87
87 - 97
97 - 107
107 - 117
117 - 127
127 - 137
137 - 147
147 - 157
No. of students
46
35
40
27
48
10
43
48
(ii)
Score
77 - 87
87 - 97
97 - 107
107 - 117
117 - 127
127 - 137
137 - 147
147 - 157
No. of students
46
48
40
27
48
10
43
35
(iii)
Score
77 - 87
87 - 97
97 - 107
107 - 117
117 - 127
127 - 137
137 - 147
147 - 157
No. of students
46
35
27
40
48
10
43
48
(iv)
Score
77 - 87
87 - 97
97 - 107
107 - 117
117 - 127
127 - 137
137 - 147
147 - 157
No. of students
46
35
40
27
52
10
43
48
(v)
Score
77 - 87
87 - 97
97 - 107
107 - 117
117 - 127
127 - 137
137 - 147
147 - 157
No. of students
46
35
44
27
48
10
43
48
Question
14
14.
Scores of 171 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
71 - 76
77 - 82
83 - 88
89 - 94
95 - 100
101 - 106
107 - 112
113 - 118
No. of students
22
16
42
36
11
8
26
10
(ii)
Score
71 - 76
77 - 82
83 - 88
89 - 94
95 - 100
101 - 106
107 - 112
113 - 118
No. of students
22
10
42
36
11
8
26
16
(iii)
Score
71 - 76
77 - 82
83 - 88
89 - 94
95 - 100
101 - 106
107 - 112
113 - 118
No. of students
22
10
39
36
11
8
26
16
(iv)
Score
71 - 76
77 - 82
83 - 88
89 - 94
95 - 100
101 - 106
107 - 112
113 - 118
No. of students
22
10
42
36
8
8
26
16
(v)
Score
71 - 76
77 - 82
83 - 88
89 - 94
95 - 100
101 - 106
107 - 112
113 - 118
No. of students
22
10
36
42
11
8
26
16
Question
15
15.
Rainfall of 138 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)
13 - 22
22 - 31
31 - 40
40 - 49
49 - 58
No. of days
37
37
25
26
13
(ii)
Rainfall (in mm)
13 - 22
22 - 31
31 - 40
40 - 49
49 - 58
No. of days
37
33
25
26
13
(iii)
Rainfall (in mm)
13 - 22
22 - 31
31 - 40
40 - 49
49 - 58
No. of days
37
25
37
26
13
(iv)
Rainfall (in mm)
13 - 22
22 - 31
31 - 40
40 - 49
49 - 58
No. of days
37
13
25
26
37
(v)
Rainfall (in mm)
13 - 22
22 - 31
31 - 40
40 - 49
49 - 58
No. of days
37
37
30
26
13
Question
16
16.
Rainfall of 220 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 - 13
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
No. of days
37
30
39
46
35
30
(ii)
Rainfall (in mm)
8 - 13
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
No. of days
37
39
30
49
35
30
(iii)
Rainfall (in mm)
8 - 13
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
No. of days
37
30
39
49
35
30
(iv)
Rainfall (in mm)
8 - 13
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
No. of days
37
30
36
49
35
30
Question
17
17.
Temperatures of 102 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 - 37
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
No. of days
46
14
23
8
6
5
(ii)
Temperature (in degree)
32 - 37
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
No. of days
46
5
21
8
6
14
(iii)
Temperature (in degree)
32 - 37
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
No. of days
46
5
23
13
6
14
(iv)
Temperature (in degree)
32 - 37
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
No. of days
46
23
5
8
6
14
(v)
Temperature (in degree)
32 - 37
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
No. of days
46
5
23
8
6
14
Question
18
18.
Temperatures of 211 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)
34 - 43
44 - 53
54 - 63
64 - 73
74 - 83
84 - 93
No. of days
49
22
23
44
25
48
(ii)
Temperature (in degree)
34 - 43
44 - 53
54 - 63
64 - 73
74 - 83
84 - 93
No. of days
49
23
22
44
25
48
(iii)
Temperature (in degree)
34 - 43
44 - 53
54 - 63
64 - 73
74 - 83
84 - 93
No. of days
49
23
27
44
25
48
(iv)
Temperature (in degree)
34 - 43
44 - 53
54 - 63
64 - 73
74 - 83
84 - 93
No. of days
49
23
22
49
25
48
(v)
Temperature (in degree)
34 - 43
44 - 53
54 - 63
64 - 73
74 - 83
84 - 93
No. of days
49
48
22
44
25
23
Question
19
19.
Weights of 238 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)
49 - 59
59 - 69
69 - 79
79 - 89
89 - 99
99 - 109
109 - 119
No. of students
46
47
44
20
18
43
15
(ii)
Weight (in kg)
49 - 59
59 - 69
69 - 79
79 - 89
89 - 99
99 - 109
109 - 119
No. of students
46
15
44
25
18
43
47
(iii)
Weight (in kg)
49 - 59
59 - 69
69 - 79
79 - 89
89 - 99
99 - 109
109 - 119
No. of students
46
47
46
25
18
43
15
(iv)
Weight (in kg)
49 - 59
59 - 69
69 - 79
79 - 89
89 - 99
99 - 109
109 - 119
No. of students
46
47
44
25
18
43
15
(v)
Weight (in kg)
49 - 59
59 - 69
69 - 79
79 - 89
89 - 99
99 - 109
109 - 119
No. of students
46
44
47
25
18
43
15
Question
20
20.
Weights of 226 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)
54 - 61
62 - 69
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
110 - 117
No. of students
11
46
16
38
34
17
34
28
(ii)
Weight (in kg)
54 - 61
62 - 69
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
110 - 117
No. of students
11
28
16
38
36
17
34
46
(iii)
Weight (in kg)
54 - 61
62 - 69
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
110 - 117
No. of students
11
46
16
38
36
17
34
28
(iv)
Weight (in kg)
54 - 61
62 - 69
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
110 - 117
No. of students
11
46
38
16
36
17
34
28
(v)
Weight (in kg)
54 - 61
62 - 69
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
110 - 117
No. of students
11
46
21
38
36
17
34
28
Question
21
21.
Daily wages of 192 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)
223 - 228
228 - 233
233 - 238
238 - 243
243 - 248
248 - 253
253 - 258
No. of labourers
46
6
14
17
48
30
31
(ii)
Daily wage(in Rs)
223 - 228
228 - 233
233 - 238
238 - 243
243 - 248
248 - 253
253 - 258
No. of labourers
46
31
14
21
48
30
6
(iii)
Daily wage(in Rs)
223 - 228
228 - 233
233 - 238
238 - 243
243 - 248
248 - 253
253 - 258
No. of labourers
46
14
31
17
48
30
6
(iv)
Daily wage(in Rs)
223 - 228
228 - 233
233 - 238
238 - 243
243 - 248
248 - 253
253 - 258
No. of labourers
46
31
17
17
48
30
6
(v)
Daily wage(in Rs)
223 - 228
228 - 233
233 - 238
238 - 243
243 - 248
248 - 253
253 - 258
No. of labourers
46
31
14
17
48
30
6
Question
22
22.
Daily wages of 217 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)
279 - 284
285 - 290
291 - 296
297 - 302
303 - 308
309 - 314
315 - 320
321 - 326
No. of labourers
36
25
39
41
11
14
47
7
(ii)
Daily wage(in Rs)
279 - 284
285 - 290
291 - 296
297 - 302
303 - 308
309 - 314
315 - 320
321 - 326
No. of labourers
36
7
36
41
11
14
47
25
(iii)
Daily wage(in Rs)
279 - 284
285 - 290
291 - 296
297 - 302
303 - 308
309 - 314
315 - 320
321 - 326
No. of labourers
36
25
36
41
11
14
47
7
(iv)
Daily wage(in Rs)
279 - 284
285 - 290
291 - 296
297 - 302
303 - 308
309 - 314
315 - 320
321 - 326
No. of labourers
36
25
41
36
11
14
47
7
(v)
Daily wage(in Rs)
279 - 284
285 - 290
291 - 296
297 - 302
303 - 308
309 - 314
315 - 320
321 - 326
No. of labourers
36
25
36
41
6
14
47
7
Assignment Key
1) (ii)
2) (v)
3) (v)
4) (ii)
5) (i)
6) (v)
7) (iii)
8) (i)
9) (v)
10) (i)
11) (iii)
12) (iii)
13) (i)
14) (ii)
15) (i)
16) (iii)
17) (v)
18) (ii)
19) (iv)
20) (iii)
21) (v)
22) (iii)