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
19 - 27
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
Frequency
25
85
17
75
59
48
85
(ii)
Class-Interval
19 - 27
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
Frequency
25
85
21
75
59
48
85
(iii)
Class-Interval
19 - 27
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
Frequency
25
21
85
75
59
48
85
(iv)
Class-Interval
19 - 27
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
Frequency
25
85
21
79
59
48
85
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
No. of doctors
16
43
17
27
46
(ii)
Age (in years)
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
No. of doctors
16
17
48
27
46
(iii)
Age (in years)
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
No. of doctors
16
17
43
27
46
(iv)
Age (in years)
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
No. of doctors
16
46
43
27
17
(v)
Age (in years)
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
No. of doctors
16
20
43
27
46
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)
155 - 161
161 - 167
167 - 173
173 - 179
179 - 185
185 - 191
No. of weeks
7
5
7
6
10
8
(ii)
Cost of living index (in rupees)
155 - 161
161 - 167
167 - 173
173 - 179
179 - 185
185 - 191
No. of weeks
7
7
5
6
10
8
(iii)
Cost of living index (in rupees)
155 - 161
161 - 167
167 - 173
173 - 179
179 - 185
185 - 191
No. of weeks
7
5
12
6
10
8
(iv)
Cost of living index (in rupees)
155 - 161
161 - 167
167 - 173
173 - 179
179 - 185
185 - 191
No. of weeks
7
5
7
8
10
8
(v)
Cost of living index (in rupees)
155 - 161
161 - 167
167 - 173
173 - 179
179 - 185
185 - 191
No. of weeks
7
8
7
6
10
5
Question
4
4.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
14 - 24
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
Frequency
23
31
14
75
24
72
(ii)
Class-Interval
14 - 24
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
Frequency
23
72
17
75
24
31
(iii)
Class-Interval
14 - 24
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
Frequency
23
14
72
75
24
31
(iv)
Class-Interval
14 - 24
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
Frequency
23
72
14
78
24
31
(v)
Class-Interval
14 - 24
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
Frequency
23
72
14
75
24
31
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)
30 - 38
39 - 47
48 - 56
57 - 65
66 - 74
75 - 83
No. of doctors
25
38
53
30
16
44
(ii)
Age (in years)
30 - 38
39 - 47
48 - 56
57 - 65
66 - 74
75 - 83
No. of doctors
25
38
48
30
16
44
(iii)
Age (in years)
30 - 38
39 - 47
48 - 56
57 - 65
66 - 74
75 - 83
No. of doctors
25
44
48
30
16
38
(iv)
Age (in years)
30 - 38
39 - 47
48 - 56
57 - 65
66 - 74
75 - 83
No. of doctors
25
38
48
35
16
44
(v)
Age (in years)
30 - 38
39 - 47
48 - 56
57 - 65
66 - 74
75 - 83
No. of doctors
25
48
38
30
16
44
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)
172 - 177
178 - 183
184 - 189
190 - 195
196 - 201
No. of weeks
6
4
6
7
5
(ii)
Cost of living index (in rupees)
172 - 177
178 - 183
184 - 189
190 - 195
196 - 201
No. of weeks
6
6
8
7
5
(iii)
Cost of living index (in rupees)
172 - 177
178 - 183
184 - 189
190 - 195
196 - 201
No. of weeks
6
8
6
7
5
(iv)
Cost of living index (in rupees)
172 - 177
178 - 183
184 - 189
190 - 195
196 - 201
No. of weeks
6
5
6
7
8
(v)
Cost of living index (in rupees)
172 - 177
178 - 183
184 - 189
190 - 195
196 - 201
No. of weeks
6
8
4
7
5
Question
7
7.
Heights of 195 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)
127 - 136
136 - 145
145 - 154
154 - 163
163 - 172
172 - 181
181 - 190
No. of students
45
44
10
9
19
44
19
(ii)
Height (in cm)
127 - 136
136 - 145
145 - 154
154 - 163
163 - 172
172 - 181
181 - 190
No. of students
45
10
44
14
19
44
19
(iii)
Height (in cm)
127 - 136
136 - 145
145 - 154
154 - 163
163 - 172
172 - 181
181 - 190
No. of students
45
44
10
14
19
44
19
(iv)
Height (in cm)
127 - 136
136 - 145
145 - 154
154 - 163
163 - 172
172 - 181
181 - 190
No. of students
45
19
10
14
19
44
44
(v)
Height (in cm)
127 - 136
136 - 145
145 - 154
154 - 163
163 - 172
172 - 181
181 - 190
No. of students
45
44
6
14
19
44
19
Question
8
8.
Heights of 253 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
135 - 141
142 - 148
149 - 155
156 - 162
163 - 169
170 - 176
177 - 183
No. of students
39
43
43
19
24
33
30
22
(ii)
Height (in cm)
128 - 134
135 - 141
142 - 148
149 - 155
156 - 162
163 - 169
170 - 176
177 - 183
No. of students
39
43
17
43
24
33
30
22
(iii)
Height (in cm)
128 - 134
135 - 141
142 - 148
149 - 155
156 - 162
163 - 169
170 - 176
177 - 183
No. of students
39
22
19
43
24
33
30
43
(iv)
Height (in cm)
128 - 134
135 - 141
142 - 148
149 - 155
156 - 162
163 - 169
170 - 176
177 - 183
No. of students
39
43
19
43
24
33
30
22
(v)
Height (in cm)
128 - 134
135 - 141
142 - 148
149 - 155
156 - 162
163 - 169
170 - 176
177 - 183
No. of students
39
43
19
43
26
33
30
22
Question
9
9.
Heights of 185 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 - 64
64 - 73
73 - 82
82 - 91
91 - 100
No. of plants
27
48
51
47
17
(ii)
Height (in cm)
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
No. of plants
27
17
46
47
48
(iii)
Height (in cm)
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
No. of plants
27
46
48
47
17
(iv)
Height (in cm)
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
No. of plants
27
51
46
47
17
(v)
Height (in cm)
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
No. of plants
27
48
46
47
17
Question
10
10.
Heights of 128 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)
62 - 72
73 - 83
84 - 94
95 - 105
106 - 116
117 - 127
No. of plants
13
41
24
18
29
5
(ii)
Height (in cm)
62 - 72
73 - 83
84 - 94
95 - 105
106 - 116
117 - 127
No. of plants
13
41
24
16
29
5
(iii)
Height (in cm)
62 - 72
73 - 83
84 - 94
95 - 105
106 - 116
117 - 127
No. of plants
13
24
41
16
29
5
(iv)
Height (in cm)
62 - 72
73 - 83
84 - 94
95 - 105
106 - 116
117 - 127
No. of plants
13
41
28
16
29
5
(v)
Height (in cm)
62 - 72
73 - 83
84 - 94
95 - 105
106 - 116
117 - 127
No. of plants
13
5
24
16
29
41
Question
11
11.
Ages of 257 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
61 - 67
No. of students
42
16
45
37
26
11
34
46
(ii)
Age (in years)
19 - 25
25 - 31
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
No. of students
42
16
49
37
26
11
34
46
(iii)
Age (in years)
19 - 25
25 - 31
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
No. of students
42
16
45
37
24
11
34
46
(iv)
Age (in years)
19 - 25
25 - 31
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
No. of students
42
16
37
45
26
11
34
46
(v)
Age (in years)
19 - 25
25 - 31
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
No. of students
42
46
45
37
26
11
34
16
Question
12
12.
Ages of 171 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
29 - 38
39 - 48
49 - 58
59 - 68
No. of students
36
43
8
36
48
(ii)
Age (in years)
19 - 28
29 - 38
39 - 48
49 - 58
59 - 68
No. of students
36
8
43
36
48
(iii)
Age (in years)
19 - 28
29 - 38
39 - 48
49 - 58
59 - 68
No. of students
36
8
38
36
48
(iv)
Age (in years)
19 - 28
29 - 38
39 - 48
49 - 58
59 - 68
No. of students
36
48
43
36
8
(v)
Age (in years)
19 - 28
29 - 38
39 - 48
49 - 58
59 - 68
No. of students
36
6
43
36
48
Question
13
13.
Scores of 215 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
95 - 100
100 - 105
105 - 110
No. of students
15
13
49
9
23
12
47
47
(ii)
Score
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
95 - 100
100 - 105
105 - 110
No. of students
15
47
49
9
23
12
47
13
(iii)
Score
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
95 - 100
100 - 105
105 - 110
No. of students
15
13
9
49
23
12
47
47
(iv)
Score
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
95 - 100
100 - 105
105 - 110
No. of students
15
13
49
9
18
12
47
47
(v)
Score
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
95 - 100
100 - 105
105 - 110
No. of students
15
13
44
9
23
12
47
47
Question
14
14.
Scores of 159 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
82 - 89
90 - 97
98 - 105
106 - 113
114 - 121
122 - 129
130 - 137
No. of students
42
13
16
23
33
6
31
(ii)
Score
82 - 89
90 - 97
98 - 105
106 - 113
114 - 121
122 - 129
130 - 137
No. of students
42
16
13
18
33
6
31
(iii)
Score
82 - 89
90 - 97
98 - 105
106 - 113
114 - 121
122 - 129
130 - 137
No. of students
42
13
16
18
33
6
31
(iv)
Score
82 - 89
90 - 97
98 - 105
106 - 113
114 - 121
122 - 129
130 - 137
No. of students
42
13
18
18
33
6
31
(v)
Score
82 - 89
90 - 97
98 - 105
106 - 113
114 - 121
122 - 129
130 - 137
No. of students
42
31
16
18
33
6
13
Question
15
15.
Rainfall of 184 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
38 - 44
No. of days
12
19
42
48
40
23
(ii)
Rainfall (in mm)
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
No. of days
12
42
19
52
40
23
(iii)
Rainfall (in mm)
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
No. of days
12
23
19
48
40
42
(iv)
Rainfall (in mm)
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
No. of days
12
42
23
48
40
23
(v)
Rainfall (in mm)
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
No. of days
12
42
19
48
40
23
Question
16
16.
Rainfall of 252 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)
12 - 22
23 - 33
34 - 44
45 - 55
56 - 66
67 - 77
78 - 88
89 - 99
No. of days
18
18
26
20
49
45
36
40
(ii)
Rainfall (in mm)
12 - 22
23 - 33
34 - 44
45 - 55
56 - 66
67 - 77
78 - 88
89 - 99
No. of days
18
18
20
26
49
45
36
40
(iii)
Rainfall (in mm)
12 - 22
23 - 33
34 - 44
45 - 55
56 - 66
67 - 77
78 - 88
89 - 99
No. of days
18
18
26
20
54
45
36
40
(iv)
Rainfall (in mm)
12 - 22
23 - 33
34 - 44
45 - 55
56 - 66
67 - 77
78 - 88
89 - 99
No. of days
18
40
26
20
49
45
36
18
(v)
Rainfall (in mm)
12 - 22
23 - 33
34 - 44
45 - 55
56 - 66
67 - 77
78 - 88
89 - 99
No. of days
18
18
29
20
49
45
36
40
Question
17
17.
Temperatures of 113 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)
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
No. of days
28
50
28
6
5
(ii)
Temperature (in degree)
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
No. of days
28
5
24
6
50
(iii)
Temperature (in degree)
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
No. of days
28
45
24
6
5
(iv)
Temperature (in degree)
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
No. of days
28
24
50
6
5
(v)
Temperature (in degree)
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
No. of days
28
50
24
6
5
Question
18
18.
Temperatures of 182 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)
35 - 43
44 - 52
53 - 61
62 - 70
71 - 79
80 - 88
No. of days
26
20
29
33
36
41
(ii)
Temperature (in degree)
35 - 43
44 - 52
53 - 61
62 - 70
71 - 79
80 - 88
No. of days
26
20
26
33
36
41
(iii)
Temperature (in degree)
35 - 43
44 - 52
53 - 61
62 - 70
71 - 79
80 - 88
No. of days
26
41
26
33
36
20
(iv)
Temperature (in degree)
35 - 43
44 - 52
53 - 61
62 - 70
71 - 79
80 - 88
No. of days
26
20
26
38
36
41
(v)
Temperature (in degree)
35 - 43
44 - 52
53 - 61
62 - 70
71 - 79
80 - 88
No. of days
26
26
20
33
36
41
Question
19
19.
Weights of 228 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)
48 - 58
58 - 68
68 - 78
78 - 88
88 - 98
98 - 108
108 - 118
118 - 128
No. of students
11
5
46
50
28
44
17
23
(ii)
Weight (in kg)
48 - 58
58 - 68
68 - 78
78 - 88
88 - 98
98 - 108
108 - 118
118 - 128
No. of students
11
23
50
50
28
44
17
5
(iii)
Weight (in kg)
48 - 58
58 - 68
68 - 78
78 - 88
88 - 98
98 - 108
108 - 118
118 - 128
No. of students
11
5
50
50
28
44
17
23
(iv)
Weight (in kg)
48 - 58
58 - 68
68 - 78
78 - 88
88 - 98
98 - 108
108 - 118
118 - 128
No. of students
11
5
50
50
32
44
17
23
Question
20
20.
Weights of 243 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)
48 - 58
59 - 69
70 - 80
81 - 91
92 - 102
103 - 113
114 - 124
No. of students
11
50
23
47
48
49
15
(ii)
Weight (in kg)
48 - 58
59 - 69
70 - 80
81 - 91
92 - 102
103 - 113
114 - 124
No. of students
11
23
50
47
48
49
15
(iii)
Weight (in kg)
48 - 58
59 - 69
70 - 80
81 - 91
92 - 102
103 - 113
114 - 124
No. of students
11
15
23
47
48
49
50
(iv)
Weight (in kg)
48 - 58
59 - 69
70 - 80
81 - 91
92 - 102
103 - 113
114 - 124
No. of students
11
50
23
44
48
49
15
(v)
Weight (in kg)
48 - 58
59 - 69
70 - 80
81 - 91
92 - 102
103 - 113
114 - 124
No. of students
11
50
19
47
48
49
15
Question
21
21.
Daily wages of 244 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)
266 - 272
272 - 278
278 - 284
284 - 290
290 - 296
296 - 302
302 - 308
308 - 314
No. of labourers
23
29
44
23
36
23
37
29
(ii)
Daily wage(in Rs)
266 - 272
272 - 278
278 - 284
284 - 290
290 - 296
296 - 302
302 - 308
308 - 314
No. of labourers
23
29
23
44
38
23
37
29
(iii)
Daily wage(in Rs)
266 - 272
272 - 278
278 - 284
284 - 290
290 - 296
296 - 302
302 - 308
308 - 314
No. of labourers
23
29
23
44
36
23
37
29
(iv)
Daily wage(in Rs)
266 - 272
272 - 278
278 - 284
284 - 290
290 - 296
296 - 302
302 - 308
308 - 314
No. of labourers
23
29
18
44
36
23
37
29
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)
206 - 212
213 - 219
220 - 226
227 - 233
234 - 240
241 - 247
No. of labourers
40
7
47
40
46
17
(ii)
Daily wage(in Rs)
206 - 212
213 - 219
220 - 226
227 - 233
234 - 240
241 - 247
No. of labourers
40
7
45
45
46
17
(iii)
Daily wage(in Rs)
206 - 212
213 - 219
220 - 226
227 - 233
234 - 240
241 - 247
No. of labourers
40
45
7
40
46
17
(iv)
Daily wage(in Rs)
206 - 212
213 - 219
220 - 226
227 - 233
234 - 240
241 - 247
No. of labourers
40
17
45
40
46
7
(v)
Daily wage(in Rs)
206 - 212
213 - 219
220 - 226
227 - 233
234 - 240
241 - 247
No. of labourers
40
7
45
40
46
17
Assignment Key
1) (ii)
2) (iii)
3) (i)
4) (v)
5) (ii)
6) (iii)
7) (iii)
8) (iv)
9) (v)
10) (ii)
11) (i)
12) (ii)
13) (i)
14) (iii)
15) (v)
16) (i)
17) (v)
18) (ii)
19) (iii)
20) (i)
21) (iii)
22) (v)