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
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
Frequency
43
42
13
27
90
73
56
(ii)
Class-Interval
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
Frequency
43
13
56
27
90
73
42
(iii)
Class-Interval
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
Frequency
43
56
13
27
90
73
42
(iv)
Class-Interval
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
Frequency
43
56
18
27
90
73
42
(v)
Class-Interval
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
Frequency
43
56
13
30
90
73
42
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)
33 - 43
43 - 53
53 - 63
63 - 73
73 - 83
No. of doctors
31
50
25
40
46
(ii)
Age (in years)
33 - 43
43 - 53
53 - 63
63 - 73
73 - 83
No. of doctors
31
42
25
40
50
(iii)
Age (in years)
33 - 43
43 - 53
53 - 63
63 - 73
73 - 83
No. of doctors
31
46
25
40
50
(iv)
Age (in years)
33 - 43
43 - 53
53 - 63
63 - 73
73 - 83
No. of doctors
31
25
46
40
50
(v)
Age (in years)
33 - 43
43 - 53
53 - 63
63 - 73
73 - 83
No. of doctors
31
46
27
40
50
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)
116 - 126
126 - 136
136 - 146
146 - 156
156 - 166
166 - 176
No. of weeks
10
9
8
10
9
8
(ii)
Cost of living index (in rupees)
116 - 126
126 - 136
136 - 146
146 - 156
156 - 166
166 - 176
No. of weeks
10
9
8
8
9
8
(iii)
Cost of living index (in rupees)
116 - 126
126 - 136
136 - 146
146 - 156
156 - 166
166 - 176
No. of weeks
10
8
9
8
9
8
(iv)
Cost of living index (in rupees)
116 - 126
126 - 136
136 - 146
146 - 156
156 - 166
166 - 176
No. of weeks
10
8
8
8
9
9
(v)
Cost of living index (in rupees)
116 - 126
126 - 136
136 - 146
146 - 156
156 - 166
166 - 176
No. of weeks
10
9
13
8
9
8
Question
4
4.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
82 - 90
91 - 99
Frequency
83
51
38
63
21
10
29
39
(ii)
Class-Interval
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
82 - 90
91 - 99
Frequency
83
51
63
38
18
10
29
39
(iii)
Class-Interval
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
82 - 90
91 - 99
Frequency
83
39
63
38
21
10
29
51
(iv)
Class-Interval
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
82 - 90
91 - 99
Frequency
83
51
63
38
21
10
29
39
(v)
Class-Interval
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
82 - 90
91 - 99
Frequency
83
51
60
38
21
10
29
39
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)
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
101 - 111
No. of doctors
30
14
18
25
10
19
16
(ii)
Age (in years)
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
101 - 111
No. of doctors
30
14
13
28
10
19
16
(iii)
Age (in years)
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
101 - 111
No. of doctors
30
14
18
28
10
19
16
(iv)
Age (in years)
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
101 - 111
No. of doctors
30
16
18
28
10
19
14
(v)
Age (in years)
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
101 - 111
No. of doctors
30
18
14
28
10
19
16
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)
168 - 173
174 - 179
180 - 185
186 - 191
192 - 197
198 - 203
No. of weeks
5
8
7
9
7
7
(ii)
Cost of living index (in rupees)
168 - 173
174 - 179
180 - 185
186 - 191
192 - 197
198 - 203
No. of weeks
5
7
10
9
7
8
(iii)
Cost of living index (in rupees)
168 - 173
174 - 179
180 - 185
186 - 191
192 - 197
198 - 203
No. of weeks
5
7
7
9
7
8
(iv)
Cost of living index (in rupees)
168 - 173
174 - 179
180 - 185
186 - 191
192 - 197
198 - 203
No. of weeks
5
7
7
4
7
8
Question
7
7.
Heights of 177 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)
122 - 127
127 - 132
132 - 137
137 - 142
142 - 147
147 - 152
152 - 157
No. of students
27
22
35
21
31
15
26
(ii)
Height (in cm)
122 - 127
127 - 132
132 - 137
137 - 142
142 - 147
147 - 152
152 - 157
No. of students
27
35
22
21
31
15
26
(iii)
Height (in cm)
122 - 127
127 - 132
132 - 137
137 - 142
142 - 147
147 - 152
152 - 157
No. of students
27
26
22
21
31
15
35
(iv)
Height (in cm)
122 - 127
127 - 132
132 - 137
137 - 142
142 - 147
147 - 152
152 - 157
No. of students
27
35
22
19
31
15
26
(v)
Height (in cm)
122 - 127
127 - 132
132 - 137
137 - 142
142 - 147
147 - 152
152 - 157
No. of students
27
35
27
21
31
15
26
Question
8
8.
Heights of 77 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)
122 - 131
132 - 141
142 - 151
152 - 161
162 - 171
172 - 181
No. of students
25
11
22
6
6
7
(ii)
Height (in cm)
122 - 131
132 - 141
142 - 151
152 - 161
162 - 171
172 - 181
No. of students
25
22
7
6
6
11
(iii)
Height (in cm)
122 - 131
132 - 141
142 - 151
152 - 161
162 - 171
172 - 181
No. of students
25
7
22
3
6
11
(iv)
Height (in cm)
122 - 131
132 - 141
142 - 151
152 - 161
162 - 171
172 - 181
No. of students
25
7
20
6
6
11
(v)
Height (in cm)
122 - 131
132 - 141
142 - 151
152 - 161
162 - 171
172 - 181
No. of students
25
7
22
6
6
11
Question
9
9.
Heights of 111 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)
67 - 74
74 - 81
81 - 88
88 - 95
95 - 102
No. of plants
26
12
18
17
38
(ii)
Height (in cm)
67 - 74
74 - 81
81 - 88
88 - 95
95 - 102
No. of plants
26
43
18
17
12
(iii)
Height (in cm)
67 - 74
74 - 81
81 - 88
88 - 95
95 - 102
No. of plants
26
18
38
17
12
(iv)
Height (in cm)
67 - 74
74 - 81
81 - 88
88 - 95
95 - 102
No. of plants
26
38
23
17
12
(v)
Height (in cm)
67 - 74
74 - 81
81 - 88
88 - 95
95 - 102
No. of plants
26
38
18
17
12
Question
10
10.
Heights of 237 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)
56 - 65
66 - 75
76 - 85
86 - 95
96 - 105
106 - 115
116 - 125
No. of plants
45
47
21
14
48
47
15
(ii)
Height (in cm)
56 - 65
66 - 75
76 - 85
86 - 95
96 - 105
106 - 115
116 - 125
No. of plants
45
47
21
16
48
47
15
(iii)
Height (in cm)
56 - 65
66 - 75
76 - 85
86 - 95
96 - 105
106 - 115
116 - 125
No. of plants
45
21
47
14
48
47
15
(iv)
Height (in cm)
56 - 65
66 - 75
76 - 85
86 - 95
96 - 105
106 - 115
116 - 125
No. of plants
45
47
18
14
48
47
15
(v)
Height (in cm)
56 - 65
66 - 75
76 - 85
86 - 95
96 - 105
106 - 115
116 - 125
No. of plants
45
15
21
14
48
47
47
Question
11
11.
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)
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
8
49
11
30
50
11
15
(ii)
Age (in years)
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
8
11
49
30
50
11
15
(iii)
Age (in years)
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
8
15
11
30
50
11
49
(iv)
Age (in years)
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
8
49
11
34
50
11
15
(v)
Age (in years)
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
8
49
6
30
50
11
15
Question
12
12.
Ages of 187 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)
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
No. of students
50
39
28
22
48
(ii)
Age (in years)
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
No. of students
50
41
28
22
48
(iii)
Age (in years)
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
No. of students
50
39
33
22
48
(iv)
Age (in years)
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
No. of students
50
48
28
22
39
(v)
Age (in years)
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
No. of students
50
28
39
22
48
Question
13
13.
Scores of 218 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
85 - 94
94 - 103
103 - 112
112 - 121
121 - 130
130 - 139
139 - 148
No. of students
35
42
25
15
50
44
7
(ii)
Score
85 - 94
94 - 103
103 - 112
112 - 121
121 - 130
130 - 139
139 - 148
No. of students
35
25
39
15
50
44
7
(iii)
Score
85 - 94
94 - 103
103 - 112
112 - 121
121 - 130
130 - 139
139 - 148
No. of students
35
25
42
15
50
44
7
(iv)
Score
85 - 94
94 - 103
103 - 112
112 - 121
121 - 130
130 - 139
139 - 148
No. of students
35
7
42
15
50
44
25
(v)
Score
85 - 94
94 - 103
103 - 112
112 - 121
121 - 130
130 - 139
139 - 148
No. of students
35
25
42
20
50
44
7
Question
14
14.
Scores of 152 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
76 - 81
82 - 87
88 - 93
94 - 99
100 - 105
No. of students
44
25
37
39
7
(ii)
Score
76 - 81
82 - 87
88 - 93
94 - 99
100 - 105
No. of students
44
37
20
39
7
(iii)
Score
76 - 81
82 - 87
88 - 93
94 - 99
100 - 105
No. of students
44
37
25
39
7
(iv)
Score
76 - 81
82 - 87
88 - 93
94 - 99
100 - 105
No. of students
44
7
25
39
37
(v)
Score
76 - 81
82 - 87
88 - 93
94 - 99
100 - 105
No. of students
44
39
25
39
7
Question
15
15.
Rainfall of 150 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 - 14
14 - 20
20 - 26
26 - 32
32 - 38
No. of days
28
19
35
28
43
(ii)
Rainfall (in mm)
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
No. of days
28
16
40
28
43
(iii)
Rainfall (in mm)
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
No. of days
28
43
35
28
16
(iv)
Rainfall (in mm)
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
No. of days
28
35
16
28
43
(v)
Rainfall (in mm)
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
No. of days
28
16
35
28
43
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)
10 - 20
21 - 31
32 - 42
43 - 53
54 - 64
65 - 75
No. of days
13
18
5
44
20
24
(ii)
Rainfall (in mm)
10 - 20
21 - 31
32 - 42
43 - 53
54 - 64
65 - 75
No. of days
13
18
2
46
20
24
(iii)
Rainfall (in mm)
10 - 20
21 - 31
32 - 42
43 - 53
54 - 64
65 - 75
No. of days
13
24
5
46
20
18
(iv)
Rainfall (in mm)
10 - 20
21 - 31
32 - 42
43 - 53
54 - 64
65 - 75
No. of days
13
18
5
46
20
24
(v)
Rainfall (in mm)
10 - 20
21 - 31
32 - 42
43 - 53
54 - 64
65 - 75
No. of days
13
5
18
46
20
24
Question
17
17.
Temperatures of 197 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 - 30
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
No. of days
25
16
35
27
23
21
17
28
(ii)
Temperature (in degree)
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
No. of days
25
16
27
35
28
21
17
28
(iii)
Temperature (in degree)
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
No. of days
25
16
30
27
28
21
17
28
(iv)
Temperature (in degree)
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
No. of days
25
16
35
27
28
21
17
28
(v)
Temperature (in degree)
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
No. of days
25
28
35
27
28
21
17
16
Question
18
18.
Temperatures of 123 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)
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
74 - 81
No. of days
38
21
6
9
23
11
11
(ii)
Temperature (in degree)
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
74 - 81
No. of days
38
10
21
9
23
11
11
(iii)
Temperature (in degree)
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
74 - 81
No. of days
38
11
10
9
23
11
21
(iv)
Temperature (in degree)
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
74 - 81
No. of days
38
21
10
6
23
11
11
(v)
Temperature (in degree)
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
74 - 81
No. of days
38
21
10
9
23
11
11
Question
19
19.
Weights of 251 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)
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
99 - 106
106 - 113
No. of students
33
8
29
18
50
38
40
35
(ii)
Weight (in kg)
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
99 - 106
106 - 113
No. of students
33
8
18
29
50
38
40
35
(iii)
Weight (in kg)
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
99 - 106
106 - 113
No. of students
33
35
18
29
50
38
40
8
(iv)
Weight (in kg)
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
99 - 106
106 - 113
No. of students
33
8
18
29
55
38
40
35
(v)
Weight (in kg)
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
99 - 106
106 - 113
No. of students
33
8
22
29
50
38
40
35
Question
20
20.
Weights of 177 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)
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
No. of students
30
50
25
49
23
(ii)
Weight (in kg)
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
No. of students
30
23
25
49
50
(iii)
Weight (in kg)
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
No. of students
30
23
20
49
50
(iv)
Weight (in kg)
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
No. of students
30
27
25
49
50
(v)
Weight (in kg)
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
No. of students
30
25
23
49
50
Question
21
21.
Daily wages of 153 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)
275 - 283
283 - 291
291 - 299
299 - 307
307 - 315
No. of labourers
39
29
49
27
9
(ii)
Daily wage(in Rs)
275 - 283
283 - 291
291 - 299
299 - 307
307 - 315
No. of labourers
39
5
49
27
29
(iii)
Daily wage(in Rs)
275 - 283
283 - 291
291 - 299
299 - 307
307 - 315
No. of labourers
39
9
45
27
29
(iv)
Daily wage(in Rs)
275 - 283
283 - 291
291 - 299
299 - 307
307 - 315
No. of labourers
39
9
49
27
29
(v)
Daily wage(in Rs)
275 - 283
283 - 291
291 - 299
299 - 307
307 - 315
No. of labourers
39
49
9
27
29
Question
22
22.
Daily wages of 139 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)
285 - 291
292 - 298
299 - 305
306 - 312
313 - 319
No. of labourers
24
40
8
34
33
(ii)
Daily wage(in Rs)
285 - 291
292 - 298
299 - 305
306 - 312
313 - 319
No. of labourers
24
37
8
34
40
(iii)
Daily wage(in Rs)
285 - 291
292 - 298
299 - 305
306 - 312
313 - 319
No. of labourers
24
33
11
34
40
(iv)
Daily wage(in Rs)
285 - 291
292 - 298
299 - 305
306 - 312
313 - 319
No. of labourers
24
33
8
34
40
(v)
Daily wage(in Rs)
285 - 291
292 - 298
299 - 305
306 - 312
313 - 319
No. of labourers
24
8
33
34
40
Assignment Key
1) (iii)
2) (iii)
3) (ii)
4) (iv)
5) (iii)
6) (iii)
7) (ii)
8) (v)
9) (v)
10) (i)
11) (i)
12) (i)
13) (iii)
14) (iii)
15) (v)
16) (iv)
17) (iv)
18) (v)
19) (ii)
20) (ii)
21) (iv)
22) (iv)