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
21 - 28
28 - 35
35 - 42
42 - 49
49 - 56
Frequency
90
82
14
52
65
(ii)
Class-Interval
21 - 28
28 - 35
35 - 42
42 - 49
49 - 56
Frequency
90
14
82
52
65
(iii)
Class-Interval
21 - 28
28 - 35
35 - 42
42 - 49
49 - 56
Frequency
90
65
14
52
82
(iv)
Class-Interval
21 - 28
28 - 35
35 - 42
42 - 49
49 - 56
Frequency
90
84
14
52
65
(v)
Class-Interval
21 - 28
28 - 35
35 - 42
42 - 49
49 - 56
Frequency
90
82
19
52
65
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 - 38
38 - 43
43 - 48
48 - 53
53 - 58
No. of doctors
26
28
48
38
15
(ii)
Age (in years)
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
No. of doctors
26
15
48
38
28
(iii)
Age (in years)
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
No. of doctors
26
30
48
38
15
(iv)
Age (in years)
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
No. of doctors
26
48
28
38
15
(v)
Age (in years)
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
No. of doctors
26
28
46
38
15
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
5
5
7
5
(ii)
Cost of living index (in rupees)
116 - 126
126 - 136
136 - 146
146 - 156
156 - 166
166 - 176
No. of weeks
10
9
5
7
7
5
(iii)
Cost of living index (in rupees)
116 - 126
126 - 136
136 - 146
146 - 156
156 - 166
166 - 176
No. of weeks
10
5
5
5
7
9
(iv)
Cost of living index (in rupees)
116 - 126
126 - 136
136 - 146
146 - 156
156 - 166
166 - 176
No. of weeks
10
5
9
5
7
5
(v)
Cost of living index (in rupees)
116 - 126
126 - 136
136 - 146
146 - 156
156 - 166
166 - 176
No. of weeks
10
9
3
5
7
5
Question
4
4.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
38 - 46
47 - 55
56 - 64
65 - 73
74 - 82
83 - 91
92 - 100
101 - 109
Frequency
79
52
37
41
81
54
76
34
(ii)
Class-Interval
38 - 46
47 - 55
56 - 64
65 - 73
74 - 82
83 - 91
92 - 100
101 - 109
Frequency
79
52
41
42
81
54
76
34
(iii)
Class-Interval
38 - 46
47 - 55
56 - 64
65 - 73
74 - 82
83 - 91
92 - 100
101 - 109
Frequency
79
52
42
41
81
54
76
34
(iv)
Class-Interval
38 - 46
47 - 55
56 - 64
65 - 73
74 - 82
83 - 91
92 - 100
101 - 109
Frequency
79
52
42
41
84
54
76
34
(v)
Class-Interval
38 - 46
47 - 55
56 - 64
65 - 73
74 - 82
83 - 91
92 - 100
101 - 109
Frequency
79
34
42
41
81
54
76
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)
29 - 39
40 - 50
51 - 61
62 - 72
73 - 83
84 - 94
No. of doctors
20
10
16
43
49
46
(ii)
Age (in years)
29 - 39
40 - 50
51 - 61
62 - 72
73 - 83
84 - 94
No. of doctors
20
16
10
38
49
46
(iii)
Age (in years)
29 - 39
40 - 50
51 - 61
62 - 72
73 - 83
84 - 94
No. of doctors
20
46
10
43
49
16
(iv)
Age (in years)
29 - 39
40 - 50
51 - 61
62 - 72
73 - 83
84 - 94
No. of doctors
20
16
8
43
49
46
(v)
Age (in years)
29 - 39
40 - 50
51 - 61
62 - 72
73 - 83
84 - 94
No. of doctors
20
16
10
43
49
46
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)
193 - 200
201 - 208
209 - 216
217 - 224
225 - 232
233 - 240
No. of weeks
10
6
5
10
9
10
(ii)
Cost of living index (in rupees)
193 - 200
201 - 208
209 - 216
217 - 224
225 - 232
233 - 240
No. of weeks
10
5
6
8
9
10
(iii)
Cost of living index (in rupees)
193 - 200
201 - 208
209 - 216
217 - 224
225 - 232
233 - 240
No. of weeks
10
6
10
8
9
10
(iv)
Cost of living index (in rupees)
193 - 200
201 - 208
209 - 216
217 - 224
225 - 232
233 - 240
No. of weeks
10
10
5
8
9
6
(v)
Cost of living index (in rupees)
193 - 200
201 - 208
209 - 216
217 - 224
225 - 232
233 - 240
No. of weeks
10
6
5
8
9
10
Question
7
7.
Heights of 219 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 - 134
134 - 140
140 - 146
146 - 152
152 - 158
158 - 164
164 - 170
170 - 176
No. of students
29
15
11
7
42
42
33
44
(ii)
Height (in cm)
128 - 134
134 - 140
140 - 146
146 - 152
152 - 158
158 - 164
164 - 170
170 - 176
No. of students
29
44
7
7
42
42
33
15
(iii)
Height (in cm)
128 - 134
134 - 140
140 - 146
146 - 152
152 - 158
158 - 164
164 - 170
170 - 176
No. of students
29
15
7
7
42
42
33
44
(iv)
Height (in cm)
128 - 134
134 - 140
140 - 146
146 - 152
152 - 158
158 - 164
164 - 170
170 - 176
No. of students
29
15
7
7
40
42
33
44
Question
8
8.
Heights of 143 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)
123 - 129
130 - 136
137 - 143
144 - 150
151 - 157
158 - 164
165 - 171
No. of students
29
8
8
31
28
25
16
(ii)
Height (in cm)
123 - 129
130 - 136
137 - 143
144 - 150
151 - 157
158 - 164
165 - 171
No. of students
29
8
11
29
28
25
16
(iii)
Height (in cm)
123 - 129
130 - 136
137 - 143
144 - 150
151 - 157
158 - 164
165 - 171
No. of students
29
8
8
29
28
25
16
(iv)
Height (in cm)
123 - 129
130 - 136
137 - 143
144 - 150
151 - 157
158 - 164
165 - 171
No. of students
29
16
8
29
28
25
8
Question
9
9.
Heights of 273 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)
54 - 63
63 - 72
72 - 81
81 - 90
90 - 99
99 - 108
108 - 117
117 - 126
No. of plants
29
37
47
18
47
14
49
32
(ii)
Height (in cm)
54 - 63
63 - 72
72 - 81
81 - 90
90 - 99
99 - 108
108 - 117
117 - 126
No. of plants
29
32
18
47
47
14
49
37
(iii)
Height (in cm)
54 - 63
63 - 72
72 - 81
81 - 90
90 - 99
99 - 108
108 - 117
117 - 126
No. of plants
29
37
16
47
47
14
49
32
(iv)
Height (in cm)
54 - 63
63 - 72
72 - 81
81 - 90
90 - 99
99 - 108
108 - 117
117 - 126
No. of plants
29
37
18
47
47
14
49
32
(v)
Height (in cm)
54 - 63
63 - 72
72 - 81
81 - 90
90 - 99
99 - 108
108 - 117
117 - 126
No. of plants
29
37
18
47
49
14
49
32
Question
10
10.
Heights of 246 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 - 64
65 - 73
74 - 82
83 - 91
92 - 100
101 - 109
110 - 118
No. of plants
18
47
45
36
44
42
14
(ii)
Height (in cm)
56 - 64
65 - 73
74 - 82
83 - 91
92 - 100
101 - 109
110 - 118
No. of plants
18
47
49
36
44
42
14
(iii)
Height (in cm)
56 - 64
65 - 73
74 - 82
83 - 91
92 - 100
101 - 109
110 - 118
No. of plants
18
14
45
36
44
42
47
(iv)
Height (in cm)
56 - 64
65 - 73
74 - 82
83 - 91
92 - 100
101 - 109
110 - 118
No. of plants
18
45
47
36
44
42
14
(v)
Height (in cm)
56 - 64
65 - 73
74 - 82
83 - 91
92 - 100
101 - 109
110 - 118
No. of plants
18
47
45
34
44
42
14
Question
11
11.
Ages of 224 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 - 28
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
No. of students
26
25
18
22
18
36
48
28
(ii)
Age (in years)
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
No. of students
26
25
18
22
21
36
48
28
(iii)
Age (in years)
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
No. of students
26
25
22
18
21
36
48
28
(iv)
Age (in years)
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
No. of students
26
28
18
22
21
36
48
25
(v)
Age (in years)
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
No. of students
26
25
13
22
21
36
48
28
Question
12
12.
Ages of 209 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 - 18
19 - 24
25 - 30
31 - 36
37 - 42
43 - 48
49 - 54
No. of students
46
35
31
17
48
27
5
(ii)
Age (in years)
13 - 18
19 - 24
25 - 30
31 - 36
37 - 42
43 - 48
49 - 54
No. of students
46
35
31
13
48
27
5
(iii)
Age (in years)
13 - 18
19 - 24
25 - 30
31 - 36
37 - 42
43 - 48
49 - 54
No. of students
46
35
35
17
48
27
5
(iv)
Age (in years)
13 - 18
19 - 24
25 - 30
31 - 36
37 - 42
43 - 48
49 - 54
No. of students
46
31
35
17
48
27
5
(v)
Age (in years)
13 - 18
19 - 24
25 - 30
31 - 36
37 - 42
43 - 48
49 - 54
No. of students
46
5
31
17
48
27
35
Question
13
13.
Scores of 217 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
73 - 78
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
103 - 108
108 - 113
No. of students
50
41
19
14
30
33
21
9
(ii)
Score
73 - 78
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
103 - 108
108 - 113
No. of students
50
9
19
14
30
33
21
41
(iii)
Score
73 - 78
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
103 - 108
108 - 113
No. of students
50
9
14
19
30
33
21
41
(iv)
Score
73 - 78
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
103 - 108
108 - 113
No. of students
50
9
24
14
30
33
21
41
(v)
Score
73 - 78
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
103 - 108
108 - 113
No. of students
50
9
19
14
33
33
21
41
Question
14
14.
Scores of 208 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
75 - 80
81 - 86
87 - 92
93 - 98
99 - 104
105 - 110
111 - 116
No. of students
27
8
43
42
36
32
20
(ii)
Score
75 - 80
81 - 86
87 - 92
93 - 98
99 - 104
105 - 110
111 - 116
No. of students
27
8
43
45
36
32
20
(iii)
Score
75 - 80
81 - 86
87 - 92
93 - 98
99 - 104
105 - 110
111 - 116
No. of students
27
43
8
42
36
32
20
(iv)
Score
75 - 80
81 - 86
87 - 92
93 - 98
99 - 104
105 - 110
111 - 116
No. of students
27
20
43
42
36
32
8
(v)
Score
75 - 80
81 - 86
87 - 92
93 - 98
99 - 104
105 - 110
111 - 116
No. of students
27
8
40
42
36
32
20
Question
15
15.
Rainfall of 95 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)
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
No. of days
12
16
30
12
20
(ii)
Rainfall (in mm)
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
No. of days
12
16
35
12
20
(iii)
Rainfall (in mm)
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
No. of days
12
12
35
12
20
(iv)
Rainfall (in mm)
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
No. of days
12
35
16
12
20
(v)
Rainfall (in mm)
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
No. of days
12
20
35
12
16
Question
16
16.
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)
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
No. of days
30
18
27
12
41
40
34
(ii)
Rainfall (in mm)
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
No. of days
30
34
22
12
41
40
18
(iii)
Rainfall (in mm)
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
No. of days
30
22
18
12
41
40
34
(iv)
Rainfall (in mm)
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
No. of days
30
18
22
12
41
40
34
(v)
Rainfall (in mm)
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
No. of days
30
18
22
16
41
40
34
Question
17
17.
Temperatures of 210 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)
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
No. of days
29
12
47
35
17
35
35
(ii)
Temperature (in degree)
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
No. of days
29
35
45
35
17
35
12
(iii)
Temperature (in degree)
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
No. of days
29
35
47
30
17
35
12
(iv)
Temperature (in degree)
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
No. of days
29
47
35
35
17
35
12
(v)
Temperature (in degree)
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
No. of days
29
35
47
35
17
35
12
Question
18
18.
Temperatures of 122 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)
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
No. of days
26
23
27
31
11
(ii)
Temperature (in degree)
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
No. of days
26
31
23
31
11
(iii)
Temperature (in degree)
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
No. of days
26
11
31
31
23
(iv)
Temperature (in degree)
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
No. of days
26
23
31
31
11
(v)
Temperature (in degree)
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
No. of days
26
25
31
31
11
Question
19
19.
Weights of 139 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)
59 - 66
66 - 73
73 - 80
80 - 87
87 - 94
No. of students
49
14
6
37
33
(ii)
Weight (in kg)
59 - 66
66 - 73
73 - 80
80 - 87
87 - 94
No. of students
49
6
14
37
33
(iii)
Weight (in kg)
59 - 66
66 - 73
73 - 80
80 - 87
87 - 94
No. of students
49
6
19
37
33
(iv)
Weight (in kg)
59 - 66
66 - 73
73 - 80
80 - 87
87 - 94
No. of students
49
2
14
37
33
(v)
Weight (in kg)
59 - 66
66 - 73
73 - 80
80 - 87
87 - 94
No. of students
49
33
14
37
6
Question
20
20.
Weights of 196 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 - 63
64 - 73
74 - 83
84 - 93
94 - 103
104 - 113
114 - 123
No. of students
25
40
2
32
37
16
41
(ii)
Weight (in kg)
54 - 63
64 - 73
74 - 83
84 - 93
94 - 103
104 - 113
114 - 123
No. of students
25
5
40
32
37
16
41
(iii)
Weight (in kg)
54 - 63
64 - 73
74 - 83
84 - 93
94 - 103
104 - 113
114 - 123
No. of students
25
41
5
32
37
16
40
(iv)
Weight (in kg)
54 - 63
64 - 73
74 - 83
84 - 93
94 - 103
104 - 113
114 - 123
No. of students
25
40
5
32
37
16
41
(v)
Weight (in kg)
54 - 63
64 - 73
74 - 83
84 - 93
94 - 103
104 - 113
114 - 123
No. of students
25
40
5
29
37
16
41
Question
21
21.
Daily wages of 229 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)
253 - 261
261 - 269
269 - 277
277 - 285
285 - 293
293 - 301
301 - 309
No. of labourers
26
37
38
34
49
18
27
(ii)
Daily wage(in Rs)
253 - 261
261 - 269
269 - 277
277 - 285
285 - 293
293 - 301
301 - 309
No. of labourers
26
27
38
34
49
18
37
(iii)
Daily wage(in Rs)
253 - 261
261 - 269
269 - 277
277 - 285
285 - 293
293 - 301
301 - 309
No. of labourers
26
37
38
38
49
18
27
(iv)
Daily wage(in Rs)
253 - 261
261 - 269
269 - 277
277 - 285
285 - 293
293 - 301
301 - 309
No. of labourers
26
37
41
34
49
18
27
(v)
Daily wage(in Rs)
253 - 261
261 - 269
269 - 277
277 - 285
285 - 293
293 - 301
301 - 309
No. of labourers
26
38
37
34
49
18
27
Question
22
22.
Daily wages of 156 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)
280 - 288
289 - 297
298 - 306
307 - 315
316 - 324
325 - 333
334 - 342
No. of labourers
6
6
24
33
22
44
19
(ii)
Daily wage(in Rs)
280 - 288
289 - 297
298 - 306
307 - 315
316 - 324
325 - 333
334 - 342
No. of labourers
6
24
6
35
22
44
19
(iii)
Daily wage(in Rs)
280 - 288
289 - 297
298 - 306
307 - 315
316 - 324
325 - 333
334 - 342
No. of labourers
6
19
24
35
22
44
6
(iv)
Daily wage(in Rs)
280 - 288
289 - 297
298 - 306
307 - 315
316 - 324
325 - 333
334 - 342
No. of labourers
6
6
22
35
22
44
19
(v)
Daily wage(in Rs)
280 - 288
289 - 297
298 - 306
307 - 315
316 - 324
325 - 333
334 - 342
No. of labourers
6
6
24
35
22
44
19
Assignment Key
1) (i)
2) (i)
3) (i)
4) (iii)
5) (v)
6) (v)
7) (iii)
8) (iii)
9) (iv)
10) (i)
11) (ii)
12) (i)
13) (ii)
14) (i)
15) (ii)
16) (iv)
17) (v)
18) (iv)
19) (ii)
20) (iv)
21) (i)
22) (v)