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
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
Frequency
29
26
22
84
65
(ii)
Class-Interval
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
Frequency
29
21
22
84
65
(iii)
Class-Interval
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
Frequency
29
26
17
84
65
(iv)
Class-Interval
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
Frequency
29
22
26
84
65
(v)
Class-Interval
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
Frequency
29
65
22
84
26
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)
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
No. of doctors
14
30
37
37
12
(ii)
Age (in years)
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
No. of doctors
14
8
37
37
30
(iii)
Age (in years)
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
No. of doctors
14
12
37
37
30
(iv)
Age (in years)
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
No. of doctors
14
12
40
37
30
(v)
Age (in years)
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
No. of doctors
14
37
12
37
30
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)
133 - 140
140 - 147
147 - 154
154 - 161
161 - 168
No. of weeks
10
10
4
10
8
(ii)
Cost of living index (in rupees)
133 - 140
140 - 147
147 - 154
154 - 161
161 - 168
No. of weeks
10
10
8
10
8
(iii)
Cost of living index (in rupees)
133 - 140
140 - 147
147 - 154
154 - 161
161 - 168
No. of weeks
10
13
8
10
8
(iv)
Cost of living index (in rupees)
133 - 140
140 - 147
147 - 154
154 - 161
161 - 168
No. of weeks
10
8
10
10
8
(v)
Cost of living index (in rupees)
133 - 140
140 - 147
147 - 154
154 - 161
161 - 168
No. of weeks
10
8
8
10
10
Question
4
4.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
Frequency
19
26
73
64
87
80
29
(ii)
Class-Interval
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
Frequency
19
29
73
64
87
80
26
(iii)
Class-Interval
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
Frequency
19
73
26
64
87
80
29
(iv)
Class-Interval
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
Frequency
19
26
76
64
87
80
29
(v)
Class-Interval
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
Frequency
19
26
73
62
87
80
29
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
58 - 63
64 - 69
70 - 75
No. of doctors
48
46
17
31
28
24
30
20
(ii)
Age (in years)
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
70 - 75
No. of doctors
48
46
31
15
28
24
30
20
(iii)
Age (in years)
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
70 - 75
No. of doctors
48
46
15
31
28
24
30
20
(iv)
Age (in years)
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
70 - 75
No. of doctors
48
46
15
31
23
24
30
20
(v)
Age (in years)
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
70 - 75
No. of doctors
48
20
15
31
28
24
30
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)
116 - 124
125 - 133
134 - 142
143 - 151
152 - 160
161 - 169
No. of weeks
9
5
5
6
8
9
(ii)
Cost of living index (in rupees)
116 - 124
125 - 133
134 - 142
143 - 151
152 - 160
161 - 169
No. of weeks
9
9
8
6
8
5
(iii)
Cost of living index (in rupees)
116 - 124
125 - 133
134 - 142
143 - 151
152 - 160
161 - 169
No. of weeks
9
9
5
11
8
5
(iv)
Cost of living index (in rupees)
116 - 124
125 - 133
134 - 142
143 - 151
152 - 160
161 - 169
No. of weeks
9
5
9
6
8
5
(v)
Cost of living index (in rupees)
116 - 124
125 - 133
134 - 142
143 - 151
152 - 160
161 - 169
No. of weeks
9
9
5
6
8
5
Question
7
7.
Heights of 186 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)
130 - 136
136 - 142
142 - 148
148 - 154
154 - 160
160 - 166
166 - 172
No. of students
34
35
25
17
38
30
7
(ii)
Height (in cm)
130 - 136
136 - 142
142 - 148
148 - 154
154 - 160
160 - 166
166 - 172
No. of students
34
35
22
17
38
30
7
(iii)
Height (in cm)
130 - 136
136 - 142
142 - 148
148 - 154
154 - 160
160 - 166
166 - 172
No. of students
34
25
35
17
38
30
7
(iv)
Height (in cm)
130 - 136
136 - 142
142 - 148
148 - 154
154 - 160
160 - 166
166 - 172
No. of students
34
35
25
19
38
30
7
(v)
Height (in cm)
130 - 136
136 - 142
142 - 148
148 - 154
154 - 160
160 - 166
166 - 172
No. of students
34
7
25
17
38
30
35
Question
8
8.
Heights of 224 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 - 135
136 - 146
147 - 157
158 - 168
169 - 179
180 - 190
191 - 201
No. of students
50
36
27
22
33
9
47
(ii)
Height (in cm)
125 - 135
136 - 146
147 - 157
158 - 168
169 - 179
180 - 190
191 - 201
No. of students
50
36
22
22
33
9
47
(iii)
Height (in cm)
125 - 135
136 - 146
147 - 157
158 - 168
169 - 179
180 - 190
191 - 201
No. of students
50
36
27
17
33
9
47
(iv)
Height (in cm)
125 - 135
136 - 146
147 - 157
158 - 168
169 - 179
180 - 190
191 - 201
No. of students
50
47
27
22
33
9
36
(v)
Height (in cm)
125 - 135
136 - 146
147 - 157
158 - 168
169 - 179
180 - 190
191 - 201
No. of students
50
27
36
22
33
9
47
Question
9
9.
Heights of 200 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)
51 - 58
58 - 65
65 - 72
72 - 79
79 - 86
86 - 93
93 - 100
No. of plants
40
49
27
23
40
12
7
(ii)
Height (in cm)
51 - 58
58 - 65
65 - 72
72 - 79
79 - 86
86 - 93
93 - 100
No. of plants
40
29
49
23
40
12
7
(iii)
Height (in cm)
51 - 58
58 - 65
65 - 72
72 - 79
79 - 86
86 - 93
93 - 100
No. of plants
40
7
29
23
40
12
49
(iv)
Height (in cm)
51 - 58
58 - 65
65 - 72
72 - 79
79 - 86
86 - 93
93 - 100
No. of plants
40
49
29
23
40
12
7
(v)
Height (in cm)
51 - 58
58 - 65
65 - 72
72 - 79
79 - 86
86 - 93
93 - 100
No. of plants
40
49
29
27
40
12
7
Question
10
10.
Heights of 152 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)
65 - 70
71 - 76
77 - 82
83 - 88
89 - 94
95 - 100
101 - 106
107 - 112
No. of plants
5
8
16
40
7
25
32
19
(ii)
Height (in cm)
65 - 70
71 - 76
77 - 82
83 - 88
89 - 94
95 - 100
101 - 106
107 - 112
No. of plants
5
19
40
16
7
25
32
8
(iii)
Height (in cm)
65 - 70
71 - 76
77 - 82
83 - 88
89 - 94
95 - 100
101 - 106
107 - 112
No. of plants
5
8
40
16
3
25
32
19
(iv)
Height (in cm)
65 - 70
71 - 76
77 - 82
83 - 88
89 - 94
95 - 100
101 - 106
107 - 112
No. of plants
5
8
43
16
7
25
32
19
(v)
Height (in cm)
65 - 70
71 - 76
77 - 82
83 - 88
89 - 94
95 - 100
101 - 106
107 - 112
No. of plants
5
8
40
16
7
25
32
19
Question
11
11.
Ages of 198 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)
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
No. of students
17
17
28
46
18
7
18
50
(ii)
Age (in years)
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
No. of students
17
17
28
46
15
7
18
50
(iii)
Age (in years)
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
No. of students
17
50
28
46
15
7
18
17
(iv)
Age (in years)
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
No. of students
17
17
24
46
15
7
18
50
(v)
Age (in years)
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
No. of students
17
17
46
28
15
7
18
50
Question
12
12.
Ages of 221 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)
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
No. of students
26
29
44
29
18
49
26
(ii)
Age (in years)
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
No. of students
26
29
44
32
18
49
26
(iii)
Age (in years)
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
No. of students
26
44
29
29
18
49
26
(iv)
Age (in years)
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
No. of students
26
29
39
29
18
49
26
(v)
Age (in years)
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
No. of students
26
26
44
29
18
49
29
Question
13
13.
Scores of 232 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
118 - 124
124 - 130
130 - 136
No. of students
44
47
9
19
7
21
37
48
(ii)
Score
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
118 - 124
124 - 130
130 - 136
No. of students
44
47
9
19
10
21
37
48
(iii)
Score
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
118 - 124
124 - 130
130 - 136
No. of students
44
47
13
19
7
21
37
48
(iv)
Score
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
118 - 124
124 - 130
130 - 136
No. of students
44
47
19
9
7
21
37
48
(v)
Score
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
118 - 124
124 - 130
130 - 136
No. of students
44
48
9
19
7
21
37
47
Question
14
14.
Scores of 188 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
72 - 80
81 - 89
90 - 98
99 - 107
108 - 116
117 - 125
126 - 134
No. of students
18
27
10
11
47
46
26
(ii)
Score
72 - 80
81 - 89
90 - 98
99 - 107
108 - 116
117 - 125
126 - 134
No. of students
18
26
13
11
47
46
27
(iii)
Score
72 - 80
81 - 89
90 - 98
99 - 107
108 - 116
117 - 125
126 - 134
No. of students
18
27
13
16
47
46
26
(iv)
Score
72 - 80
81 - 89
90 - 98
99 - 107
108 - 116
117 - 125
126 - 134
No. of students
18
13
27
11
47
46
26
(v)
Score
72 - 80
81 - 89
90 - 98
99 - 107
108 - 116
117 - 125
126 - 134
No. of students
18
27
13
11
47
46
26
Question
15
15.
Rainfall of 316 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)
6 - 15
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
60 - 69
69 - 78
No. of days
49
46
5
36
40
49
50
39
(ii)
Rainfall (in mm)
6 - 15
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
60 - 69
69 - 78
No. of days
49
46
5
36
42
49
50
39
(iii)
Rainfall (in mm)
6 - 15
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
60 - 69
69 - 78
No. of days
49
46
36
5
42
49
50
39
(iv)
Rainfall (in mm)
6 - 15
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
60 - 69
69 - 78
No. of days
49
46
10
36
42
49
50
39
(v)
Rainfall (in mm)
6 - 15
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
60 - 69
69 - 78
No. of days
49
39
5
36
42
49
50
46
Question
16
16.
Rainfall of 218 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)
7 - 16
17 - 26
27 - 36
37 - 46
47 - 56
57 - 66
67 - 76
No. of days
12
50
46
29
12
48
25
(ii)
Rainfall (in mm)
7 - 16
17 - 26
27 - 36
37 - 46
47 - 56
57 - 66
67 - 76
No. of days
12
50
42
32
12
48
25
(iii)
Rainfall (in mm)
7 - 16
17 - 26
27 - 36
37 - 46
47 - 56
57 - 66
67 - 76
No. of days
12
25
42
29
12
48
50
(iv)
Rainfall (in mm)
7 - 16
17 - 26
27 - 36
37 - 46
47 - 56
57 - 66
67 - 76
No. of days
12
50
42
29
12
48
25
(v)
Rainfall (in mm)
7 - 16
17 - 26
27 - 36
37 - 46
47 - 56
57 - 66
67 - 76
No. of days
12
42
50
29
12
48
25
Question
17
17.
Temperatures of 277 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
83 - 91
No. of days
28
50
21
44
42
13
39
38
(ii)
Temperature (in degree)
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
No. of days
28
50
44
21
44
13
39
38
(iii)
Temperature (in degree)
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
No. of days
28
50
17
44
44
13
39
38
(iv)
Temperature (in degree)
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
No. of days
28
38
21
44
44
13
39
50
(v)
Temperature (in degree)
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
No. of days
28
50
21
44
44
13
39
38
Question
18
18.
Temperatures of 151 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 - 35
36 - 46
47 - 57
58 - 68
69 - 79
No. of days
23
38
27
36
22
(ii)
Temperature (in degree)
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
No. of days
23
38
32
36
22
(iii)
Temperature (in degree)
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
No. of days
23
32
38
36
22
(iv)
Temperature (in degree)
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
No. of days
23
22
32
36
38
(v)
Temperature (in degree)
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
No. of days
23
42
32
36
22
Question
19
19.
Weights of 122 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)
47 - 56
56 - 65
65 - 74
74 - 83
83 - 92
92 - 101
101 - 110
No. of students
5
26
33
12
15
12
19
(ii)
Weight (in kg)
47 - 56
56 - 65
65 - 74
74 - 83
83 - 92
92 - 101
101 - 110
No. of students
5
26
38
12
15
12
19
(iii)
Weight (in kg)
47 - 56
56 - 65
65 - 74
74 - 83
83 - 92
92 - 101
101 - 110
No. of students
5
33
26
12
15
12
19
(iv)
Weight (in kg)
47 - 56
56 - 65
65 - 74
74 - 83
83 - 92
92 - 101
101 - 110
No. of students
5
26
33
10
15
12
19
(v)
Weight (in kg)
47 - 56
56 - 65
65 - 74
74 - 83
83 - 92
92 - 101
101 - 110
No. of students
5
19
33
12
15
12
26
Question
20
20.
Weights of 169 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)
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
80 - 87
88 - 95
No. of students
13
40
30
33
11
16
26
(ii)
Weight (in kg)
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
80 - 87
88 - 95
No. of students
13
26
30
33
11
16
40
(iii)
Weight (in kg)
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
80 - 87
88 - 95
No. of students
13
30
26
33
11
16
40
(iv)
Weight (in kg)
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
80 - 87
88 - 95
No. of students
13
26
30
30
11
16
40
(v)
Weight (in kg)
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
80 - 87
88 - 95
No. of students
13
26
35
33
11
16
40
Question
21
21.
Daily wages of 182 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)
272 - 282
282 - 292
292 - 302
302 - 312
312 - 322
No. of labourers
38
50
44
41
9
(ii)
Daily wage(in Rs)
272 - 282
282 - 292
292 - 302
302 - 312
312 - 322
No. of labourers
38
9
39
41
50
(iii)
Daily wage(in Rs)
272 - 282
282 - 292
292 - 302
302 - 312
312 - 322
No. of labourers
38
7
44
41
50
(iv)
Daily wage(in Rs)
272 - 282
282 - 292
292 - 302
302 - 312
312 - 322
No. of labourers
38
9
44
41
50
(v)
Daily wage(in Rs)
272 - 282
282 - 292
292 - 302
302 - 312
312 - 322
No. of labourers
38
44
9
41
50
Question
22
22.
Daily wages of 176 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)
201 - 207
208 - 214
215 - 221
222 - 228
229 - 235
236 - 242
No. of labourers
30
50
8
12
48
28
(ii)
Daily wage(in Rs)
201 - 207
208 - 214
215 - 221
222 - 228
229 - 235
236 - 242
No. of labourers
30
8
50
9
48
28
(iii)
Daily wage(in Rs)
201 - 207
208 - 214
215 - 221
222 - 228
229 - 235
236 - 242
No. of labourers
30
8
52
12
48
28
(iv)
Daily wage(in Rs)
201 - 207
208 - 214
215 - 221
222 - 228
229 - 235
236 - 242
No. of labourers
30
8
50
12
48
28
(v)
Daily wage(in Rs)
201 - 207
208 - 214
215 - 221
222 - 228
229 - 235
236 - 242
No. of labourers
30
28
50
12
48
8
Assignment Key
1) (i)
2) (iii)
3) (ii)
4) (i)
5) (iii)
6) (v)
7) (i)
8) (i)
9) (iv)
10) (v)
11) (ii)
12) (i)
13) (i)
14) (v)
15) (ii)
16) (iv)
17) (v)
18) (ii)
19) (i)
20) (ii)
21) (iv)
22) (iv)