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
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
80
49
87
28
14
24
86
(ii)
Class-Interval
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
80
86
83
28
14
24
49
(iii)
Class-Interval
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
80
83
49
28
14
24
86
(iv)
Class-Interval
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
80
49
83
23
14
24
86
(v)
Class-Interval
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
80
49
83
28
14
24
86
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 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
No. of doctors
13
19
23
23
11
25
(ii)
Age (in years)
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
No. of doctors
13
19
21
28
11
25
(iii)
Age (in years)
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
No. of doctors
13
25
23
28
11
19
(iv)
Age (in years)
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
No. of doctors
13
23
19
28
11
25
(v)
Age (in years)
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
No. of doctors
13
19
23
28
11
25
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)
154 - 161
161 - 168
168 - 175
175 - 182
182 - 189
189 - 196
No. of weeks
7
5
9
5
7
5
(ii)
Cost of living index (in rupees)
154 - 161
161 - 168
168 - 175
175 - 182
182 - 189
189 - 196
No. of weeks
7
5
9
9
7
5
(iii)
Cost of living index (in rupees)
154 - 161
161 - 168
168 - 175
175 - 182
182 - 189
189 - 196
No. of weeks
7
9
5
9
7
5
(iv)
Cost of living index (in rupees)
154 - 161
161 - 168
168 - 175
175 - 182
182 - 189
189 - 196
No. of weeks
7
5
14
9
7
5
Question
4
4.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
Frequency
30
78
37
27
11
(ii)
Class-Interval
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
Frequency
30
40
78
27
11
(iii)
Class-Interval
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
Frequency
30
78
40
27
11
(iv)
Class-Interval
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
Frequency
30
11
40
27
78
(v)
Class-Interval
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
Frequency
30
83
40
27
11
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)
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
No. of doctors
16
19
13
31
26
(ii)
Age (in years)
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
No. of doctors
16
13
14
31
26
(iii)
Age (in years)
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
No. of doctors
16
26
13
31
14
(iv)
Age (in years)
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
No. of doctors
16
14
8
31
26
(v)
Age (in years)
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
No. of doctors
16
14
13
31
26
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)
157 - 162
163 - 168
169 - 174
175 - 180
181 - 186
No. of weeks
8
5
9
6
6
(ii)
Cost of living index (in rupees)
157 - 162
163 - 168
169 - 174
175 - 180
181 - 186
No. of weeks
8
7
5
6
6
(iii)
Cost of living index (in rupees)
157 - 162
163 - 168
169 - 174
175 - 180
181 - 186
No. of weeks
8
5
5
6
6
(iv)
Cost of living index (in rupees)
157 - 162
163 - 168
169 - 174
175 - 180
181 - 186
No. of weeks
8
6
5
6
5
Question
7
7.
Heights of 202 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 - 133
133 - 141
141 - 149
149 - 157
157 - 165
165 - 173
No. of students
48
13
43
38
17
40
(ii)
Height (in cm)
125 - 133
133 - 141
141 - 149
149 - 157
157 - 165
165 - 173
No. of students
48
13
46
38
17
40
(iii)
Height (in cm)
125 - 133
133 - 141
141 - 149
149 - 157
157 - 165
165 - 173
No. of students
48
13
46
34
17
40
(iv)
Height (in cm)
125 - 133
133 - 141
141 - 149
149 - 157
157 - 165
165 - 173
No. of students
48
46
13
38
17
40
(v)
Height (in cm)
125 - 133
133 - 141
141 - 149
149 - 157
157 - 165
165 - 173
No. of students
48
40
46
38
17
13
Question
8
8.
Heights of 215 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)
120 - 130
131 - 141
142 - 152
153 - 163
164 - 174
175 - 185
186 - 196
No. of students
48
38
42
16
38
11
22
(ii)
Height (in cm)
120 - 130
131 - 141
142 - 152
153 - 163
164 - 174
175 - 185
186 - 196
No. of students
48
22
42
14
38
11
38
(iii)
Height (in cm)
120 - 130
131 - 141
142 - 152
153 - 163
164 - 174
175 - 185
186 - 196
No. of students
48
22
37
16
38
11
38
(iv)
Height (in cm)
120 - 130
131 - 141
142 - 152
153 - 163
164 - 174
175 - 185
186 - 196
No. of students
48
42
22
16
38
11
38
(v)
Height (in cm)
120 - 130
131 - 141
142 - 152
153 - 163
164 - 174
175 - 185
186 - 196
No. of students
48
22
42
16
38
11
38
Question
9
9.
Heights of 120 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)
68 - 75
75 - 82
82 - 89
89 - 96
96 - 103
No. of plants
26
29
21
17
24
(ii)
Height (in cm)
68 - 75
75 - 82
82 - 89
89 - 96
96 - 103
No. of plants
26
24
24
17
29
(iii)
Height (in cm)
68 - 75
75 - 82
82 - 89
89 - 96
96 - 103
No. of plants
26
27
24
17
24
(iv)
Height (in cm)
68 - 75
75 - 82
82 - 89
89 - 96
96 - 103
No. of plants
26
24
29
17
24
(v)
Height (in cm)
68 - 75
75 - 82
82 - 89
89 - 96
96 - 103
No. of plants
26
29
24
17
24
Question
10
10.
Heights of 203 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)
60 - 70
71 - 81
82 - 92
93 - 103
104 - 114
115 - 125
126 - 136
137 - 147
No. of plants
38
38
15
8
40
10
25
25
(ii)
Height (in cm)
60 - 70
71 - 81
82 - 92
93 - 103
104 - 114
115 - 125
126 - 136
137 - 147
No. of plants
38
38
8
19
40
10
25
25
(iii)
Height (in cm)
60 - 70
71 - 81
82 - 92
93 - 103
104 - 114
115 - 125
126 - 136
137 - 147
No. of plants
38
38
19
8
42
10
25
25
(iv)
Height (in cm)
60 - 70
71 - 81
82 - 92
93 - 103
104 - 114
115 - 125
126 - 136
137 - 147
No. of plants
38
25
19
8
40
10
25
38
(v)
Height (in cm)
60 - 70
71 - 81
82 - 92
93 - 103
104 - 114
115 - 125
126 - 136
137 - 147
No. of plants
38
38
19
8
40
10
25
25
Question
11
11.
Ages of 251 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)
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
No. of students
21
25
42
27
33
11
46
46
(ii)
Age (in years)
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
No. of students
21
25
42
27
37
11
46
46
(iii)
Age (in years)
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
No. of students
21
25
44
27
33
11
46
46
(iv)
Age (in years)
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
No. of students
21
46
42
27
33
11
46
25
(v)
Age (in years)
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
No. of students
21
25
27
42
33
11
46
46
Question
12
12.
Ages of 186 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)
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
No. of students
42
13
7
36
41
47
(ii)
Age (in years)
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
No. of students
42
47
13
36
41
7
(iii)
Age (in years)
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
No. of students
42
7
13
36
41
47
(iv)
Age (in years)
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
No. of students
42
7
10
36
41
47
(v)
Age (in years)
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
No. of students
42
7
13
33
41
47
Question
13
13.
Scores of 200 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
80 - 86
86 - 92
92 - 98
98 - 104
104 - 110
110 - 116
116 - 122
122 - 128
No. of students
50
13
24
19
10
27
31
26
(ii)
Score
80 - 86
86 - 92
92 - 98
98 - 104
104 - 110
110 - 116
116 - 122
122 - 128
No. of students
50
13
19
24
12
27
31
26
(iii)
Score
80 - 86
86 - 92
92 - 98
98 - 104
104 - 110
110 - 116
116 - 122
122 - 128
No. of students
50
13
17
24
10
27
31
26
(iv)
Score
80 - 86
86 - 92
92 - 98
98 - 104
104 - 110
110 - 116
116 - 122
122 - 128
No. of students
50
26
19
24
10
27
31
13
(v)
Score
80 - 86
86 - 92
92 - 98
98 - 104
104 - 110
110 - 116
116 - 122
122 - 128
No. of students
50
13
19
24
10
27
31
26
Question
14
14.
Scores of 135 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
86 - 94
95 - 103
104 - 112
113 - 121
122 - 130
131 - 139
140 - 148
No. of students
12
30
34
6
5
5
43
(ii)
Score
86 - 94
95 - 103
104 - 112
113 - 121
122 - 130
131 - 139
140 - 148
No. of students
12
30
39
6
5
5
43
(iii)
Score
86 - 94
95 - 103
104 - 112
113 - 121
122 - 130
131 - 139
140 - 148
No. of students
12
34
30
6
5
5
43
(iv)
Score
86 - 94
95 - 103
104 - 112
113 - 121
122 - 130
131 - 139
140 - 148
No. of students
12
43
34
6
5
5
30
(v)
Score
86 - 94
95 - 103
104 - 112
113 - 121
122 - 130
131 - 139
140 - 148
No. of students
12
30
34
2
5
5
43
Question
15
15.
Rainfall of 197 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)
9 - 17
17 - 25
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
No. of days
15
31
13
23
38
16
15
46
(ii)
Rainfall (in mm)
9 - 17
17 - 25
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
No. of days
15
46
23
13
38
16
15
31
(iii)
Rainfall (in mm)
9 - 17
17 - 25
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
No. of days
15
31
23
13
40
16
15
46
(iv)
Rainfall (in mm)
9 - 17
17 - 25
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
No. of days
15
31
23
13
38
16
15
46
(v)
Rainfall (in mm)
9 - 17
17 - 25
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
No. of days
15
31
28
13
38
16
15
46
Question
16
16.
Rainfall of 97 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)
14 - 20
21 - 27
28 - 34
35 - 41
42 - 48
No. of days
13
11
22
26
21
(ii)
Rainfall (in mm)
14 - 20
21 - 27
28 - 34
35 - 41
42 - 48
No. of days
13
22
15
26
21
(iii)
Rainfall (in mm)
14 - 20
21 - 27
28 - 34
35 - 41
42 - 48
No. of days
13
15
20
26
21
(iv)
Rainfall (in mm)
14 - 20
21 - 27
28 - 34
35 - 41
42 - 48
No. of days
13
15
22
26
21
(v)
Rainfall (in mm)
14 - 20
21 - 27
28 - 34
35 - 41
42 - 48
No. of days
13
21
22
26
15
Question
17
17.
Temperatures of 167 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 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
No. of days
21
15
44
21
32
31
(ii)
Temperature (in degree)
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
No. of days
21
15
46
24
32
31
(iii)
Temperature (in degree)
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
No. of days
21
15
44
24
32
31
(iv)
Temperature (in degree)
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
No. of days
21
44
15
24
32
31
(v)
Temperature (in degree)
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
No. of days
21
31
44
24
32
15
Question
18
18.
Temperatures of 188 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 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
No. of days
40
10
28
18
25
45
17
(ii)
Temperature (in degree)
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
No. of days
40
10
33
18
25
45
17
(iii)
Temperature (in degree)
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
No. of days
40
17
33
18
25
45
10
(iv)
Temperature (in degree)
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
No. of days
40
33
10
18
25
45
17
(v)
Temperature (in degree)
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
No. of days
40
10
33
20
25
45
17
Question
19
19.
Weights of 197 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)
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
100 - 109
No. of students
45
27
23
17
18
39
28
(ii)
Weight (in kg)
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
100 - 109
No. of students
45
28
23
17
18
39
27
(iii)
Weight (in kg)
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
100 - 109
No. of students
45
23
28
17
18
39
27
(iv)
Weight (in kg)
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
100 - 109
No. of students
45
28
23
19
18
39
27
(v)
Weight (in kg)
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
100 - 109
No. of students
45
28
19
17
18
39
27
Question
20
20.
Weights of 185 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)
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
78 - 84
No. of students
46
36
25
41
12
25
(ii)
Weight (in kg)
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
78 - 84
No. of students
46
25
32
41
12
25
(iii)
Weight (in kg)
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
78 - 84
No. of students
46
25
36
37
12
25
(iv)
Weight (in kg)
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
78 - 84
No. of students
46
25
36
41
12
25
Question
21
21.
Daily wages of 172 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)
287 - 294
294 - 301
301 - 308
308 - 315
315 - 322
322 - 329
329 - 336
336 - 343
No. of labourers
8
20
16
18
30
43
15
20
(ii)
Daily wage(in Rs)
287 - 294
294 - 301
301 - 308
308 - 315
315 - 322
322 - 329
329 - 336
336 - 343
No. of labourers
8
20
18
16
32
43
15
20
(iii)
Daily wage(in Rs)
287 - 294
294 - 301
301 - 308
308 - 315
315 - 322
322 - 329
329 - 336
336 - 343
No. of labourers
8
20
21
18
32
43
15
20
(iv)
Daily wage(in Rs)
287 - 294
294 - 301
301 - 308
308 - 315
315 - 322
322 - 329
329 - 336
336 - 343
No. of labourers
8
20
16
18
32
43
15
20
Question
22
22.
Daily wages of 195 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)
259 - 264
265 - 270
271 - 276
277 - 282
283 - 288
289 - 294
295 - 300
301 - 306
No. of labourers
8
21
12
22
41
29
47
15
(ii)
Daily wage(in Rs)
259 - 264
265 - 270
271 - 276
277 - 282
283 - 288
289 - 294
295 - 300
301 - 306
No. of labourers
8
21
19
12
41
29
47
15
(iii)
Daily wage(in Rs)
259 - 264
265 - 270
271 - 276
277 - 282
283 - 288
289 - 294
295 - 300
301 - 306
No. of labourers
8
15
22
12
41
29
47
21
(iv)
Daily wage(in Rs)
259 - 264
265 - 270
271 - 276
277 - 282
283 - 288
289 - 294
295 - 300
301 - 306
No. of labourers
8
21
22
12
41
29
47
15
(v)
Daily wage(in Rs)
259 - 264
265 - 270
271 - 276
277 - 282
283 - 288
289 - 294
295 - 300
301 - 306
No. of labourers
8
21
22
12
43
29
47
15
Assignment Key
1) (v)
2) (v)
3) (ii)
4) (iii)
5) (v)
6) (iii)
7) (ii)
8) (v)
9) (v)
10) (v)
11) (i)
12) (iii)
13) (v)
14) (i)
15) (iv)
16) (iv)
17) (iii)
18) (ii)
19) (ii)
20) (iv)
21) (iv)
22) (iv)