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
12 - 20
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
Frequency
44
31
46
75
90
13
75
(ii)
Class-Interval
12 - 20
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
Frequency
44
75
46
77
90
13
31
(iii)
Class-Interval
12 - 20
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
Frequency
44
75
41
75
90
13
31
(iv)
Class-Interval
12 - 20
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
Frequency
44
46
75
75
90
13
31
(v)
Class-Interval
12 - 20
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
Frequency
44
75
46
75
90
13
31
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)
32 - 37
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
62 - 67
67 - 72
No. of doctors
12
31
39
39
30
18
41
22
(ii)
Age (in years)
32 - 37
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
62 - 67
67 - 72
No. of doctors
12
22
44
39
30
18
41
31
(iii)
Age (in years)
32 - 37
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
62 - 67
67 - 72
No. of doctors
12
22
39
39
30
18
41
31
(iv)
Age (in years)
32 - 37
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
62 - 67
67 - 72
No. of doctors
12
22
39
39
35
18
41
31
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)
159 - 168
168 - 177
177 - 186
186 - 195
195 - 204
204 - 213
No. of weeks
7
9
9
6
7
5
(ii)
Cost of living index (in rupees)
159 - 168
168 - 177
177 - 186
186 - 195
195 - 204
204 - 213
No. of weeks
7
5
9
6
7
9
(iii)
Cost of living index (in rupees)
159 - 168
168 - 177
177 - 186
186 - 195
195 - 204
204 - 213
No. of weeks
7
9
9
2
7
5
(iv)
Cost of living index (in rupees)
159 - 168
168 - 177
177 - 186
186 - 195
195 - 204
204 - 213
No. of weeks
7
9
4
6
7
5
Question
4
4.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
Frequency
82
90
50
16
35
30
87
(ii)
Class-Interval
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
Frequency
82
90
54
16
35
30
87
(iii)
Class-Interval
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
Frequency
82
90
50
13
35
30
87
(iv)
Class-Interval
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
Frequency
82
50
90
16
35
30
87
(v)
Class-Interval
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
Frequency
82
87
50
16
35
30
90
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)
34 - 42
43 - 51
52 - 60
61 - 69
70 - 78
79 - 87
No. of doctors
13
26
40
29
22
38
(ii)
Age (in years)
34 - 42
43 - 51
52 - 60
61 - 69
70 - 78
79 - 87
No. of doctors
13
26
36
24
22
38
(iii)
Age (in years)
34 - 42
43 - 51
52 - 60
61 - 69
70 - 78
79 - 87
No. of doctors
13
40
26
24
22
38
(iv)
Age (in years)
34 - 42
43 - 51
52 - 60
61 - 69
70 - 78
79 - 87
No. of doctors
13
26
40
24
22
38
(v)
Age (in years)
34 - 42
43 - 51
52 - 60
61 - 69
70 - 78
79 - 87
No. of doctors
13
38
40
24
22
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)
169 - 176
177 - 184
185 - 192
193 - 200
201 - 208
209 - 216
No. of weeks
6
7
5
9
10
7
(ii)
Cost of living index (in rupees)
169 - 176
177 - 184
185 - 192
193 - 200
201 - 208
209 - 216
No. of weeks
6
7
5
7
10
7
(iii)
Cost of living index (in rupees)
169 - 176
177 - 184
185 - 192
193 - 200
201 - 208
209 - 216
No. of weeks
6
5
7
9
10
7
(iv)
Cost of living index (in rupees)
169 - 176
177 - 184
185 - 192
193 - 200
201 - 208
209 - 216
No. of weeks
6
7
7
9
10
7
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
24
13
47
49
30
23
13
(ii)
Height (in cm)
127 - 136
136 - 145
145 - 154
154 - 163
163 - 172
172 - 181
181 - 190
No. of students
24
13
43
49
30
23
13
(iii)
Height (in cm)
127 - 136
136 - 145
145 - 154
154 - 163
163 - 172
172 - 181
181 - 190
No. of students
24
43
13
49
30
23
13
(iv)
Height (in cm)
127 - 136
136 - 145
145 - 154
154 - 163
163 - 172
172 - 181
181 - 190
No. of students
24
13
43
46
30
23
13
Question
8
8.
Heights of 252 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)
129 - 135
136 - 142
143 - 149
150 - 156
157 - 163
164 - 170
171 - 177
178 - 184
No. of students
32
11
43
31
50
43
34
8
(ii)
Height (in cm)
129 - 135
136 - 142
143 - 149
150 - 156
157 - 163
164 - 170
171 - 177
178 - 184
No. of students
32
8
43
31
52
43
34
11
(iii)
Height (in cm)
129 - 135
136 - 142
143 - 149
150 - 156
157 - 163
164 - 170
171 - 177
178 - 184
No. of students
32
8
48
31
50
43
34
11
(iv)
Height (in cm)
129 - 135
136 - 142
143 - 149
150 - 156
157 - 163
164 - 170
171 - 177
178 - 184
No. of students
32
8
43
31
50
43
34
11
(v)
Height (in cm)
129 - 135
136 - 142
143 - 149
150 - 156
157 - 163
164 - 170
171 - 177
178 - 184
No. of students
32
8
31
43
50
43
34
11
Question
9
9.
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)
54 - 62
62 - 70
70 - 78
78 - 86
86 - 94
94 - 102
102 - 110
No. of plants
23
12
50
49
48
17
38
(ii)
Height (in cm)
54 - 62
62 - 70
70 - 78
78 - 86
86 - 94
94 - 102
102 - 110
No. of plants
23
50
38
49
48
17
12
(iii)
Height (in cm)
54 - 62
62 - 70
70 - 78
78 - 86
86 - 94
94 - 102
102 - 110
No. of plants
23
38
50
44
48
17
12
(iv)
Height (in cm)
54 - 62
62 - 70
70 - 78
78 - 86
86 - 94
94 - 102
102 - 110
No. of plants
23
38
52
49
48
17
12
(v)
Height (in cm)
54 - 62
62 - 70
70 - 78
78 - 86
86 - 94
94 - 102
102 - 110
No. of plants
23
38
50
49
48
17
12
Question
10
10.
Heights of 121 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)
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
No. of plants
34
12
6
42
24
(ii)
Height (in cm)
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
No. of plants
34
12
9
42
24
(iii)
Height (in cm)
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
No. of plants
34
24
9
42
12
(iv)
Height (in cm)
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
No. of plants
34
9
12
42
24
(v)
Height (in cm)
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
No. of plants
34
15
9
42
24
Question
11
11.
Ages of 208 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 - 22
22 - 31
31 - 40
40 - 49
49 - 58
58 - 67
No. of students
42
39
30
38
41
14
(ii)
Age (in years)
13 - 22
22 - 31
31 - 40
40 - 49
49 - 58
58 - 67
No. of students
42
39
34
33
41
14
(iii)
Age (in years)
13 - 22
22 - 31
31 - 40
40 - 49
49 - 58
58 - 67
No. of students
42
39
34
38
41
14
(iv)
Age (in years)
13 - 22
22 - 31
31 - 40
40 - 49
49 - 58
58 - 67
No. of students
42
14
34
38
41
39
(v)
Age (in years)
13 - 22
22 - 31
31 - 40
40 - 49
49 - 58
58 - 67
No. of students
42
34
39
38
41
14
Question
12
12.
Ages of 133 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 - 22
23 - 32
33 - 42
43 - 52
53 - 62
No. of students
8
32
13
38
37
(ii)
Age (in years)
13 - 22
23 - 32
33 - 42
43 - 52
53 - 62
No. of students
8
37
18
38
32
(iii)
Age (in years)
13 - 22
23 - 32
33 - 42
43 - 52
53 - 62
No. of students
8
18
32
38
37
(iv)
Age (in years)
13 - 22
23 - 32
33 - 42
43 - 52
53 - 62
No. of students
8
32
18
38
37
(v)
Age (in years)
13 - 22
23 - 32
33 - 42
43 - 52
53 - 62
No. of students
8
35
18
38
37
Question
13
13.
Scores of 154 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
86 - 94
94 - 102
102 - 110
110 - 118
118 - 126
126 - 134
134 - 142
No. of students
7
13
9
34
42
14
37
(ii)
Score
86 - 94
94 - 102
102 - 110
110 - 118
118 - 126
126 - 134
134 - 142
No. of students
7
13
9
32
42
14
37
(iii)
Score
86 - 94
94 - 102
102 - 110
110 - 118
118 - 126
126 - 134
134 - 142
No. of students
7
13
6
32
42
14
37
(iv)
Score
86 - 94
94 - 102
102 - 110
110 - 118
118 - 126
126 - 134
134 - 142
No. of students
7
9
13
32
42
14
37
(v)
Score
86 - 94
94 - 102
102 - 110
110 - 118
118 - 126
126 - 134
134 - 142
No. of students
7
37
9
32
42
14
13
Question
14
14.
Scores of 164 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
120 - 127
No. of students
10
11
34
39
27
47
(ii)
Score
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
120 - 127
No. of students
10
34
11
35
27
47
(iii)
Score
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
120 - 127
No. of students
10
47
34
35
27
11
(iv)
Score
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
120 - 127
No. of students
10
11
34
35
27
47
(v)
Score
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
120 - 127
No. of students
10
11
37
35
27
47
Question
15
15.
Rainfall of 112 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 - 12
12 - 18
18 - 24
24 - 30
30 - 36
No. of days
20
44
26
13
9
(ii)
Rainfall (in mm)
6 - 12
12 - 18
18 - 24
24 - 30
30 - 36
No. of days
20
23
44
13
9
(iii)
Rainfall (in mm)
6 - 12
12 - 18
18 - 24
24 - 30
30 - 36
No. of days
20
26
49
13
9
(iv)
Rainfall (in mm)
6 - 12
12 - 18
18 - 24
24 - 30
30 - 36
No. of days
20
26
44
13
9
(v)
Rainfall (in mm)
6 - 12
12 - 18
18 - 24
24 - 30
30 - 36
No. of days
20
9
44
13
26
Question
16
16.
Rainfall of 202 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)
5 - 13
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
No. of days
27
29
13
13
48
49
28
(ii)
Rainfall (in mm)
5 - 13
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
No. of days
27
8
29
13
48
49
28
(iii)
Rainfall (in mm)
5 - 13
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
No. of days
27
29
8
16
48
49
28
(iv)
Rainfall (in mm)
5 - 13
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
No. of days
27
29
8
13
48
49
28
(v)
Rainfall (in mm)
5 - 13
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
No. of days
27
28
8
13
48
49
29
Question
17
17.
Temperatures of 203 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 - 34
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
No. of days
38
47
2
41
35
15
10
10
(ii)
Temperature (in degree)
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
No. of days
38
47
41
7
35
15
10
10
(iii)
Temperature (in degree)
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
No. of days
38
10
7
41
35
15
10
47
(iv)
Temperature (in degree)
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
No. of days
38
47
7
41
32
15
10
10
(v)
Temperature (in degree)
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
No. of days
38
47
7
41
35
15
10
10
Question
18
18.
Temperatures of 146 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)
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
96 - 106
107 - 117
No. of days
10
29
31
49
7
9
6
7
(ii)
Temperature (in degree)
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
96 - 106
107 - 117
No. of days
10
29
31
49
5
9
6
7
(iii)
Temperature (in degree)
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
96 - 106
107 - 117
No. of days
10
29
49
31
5
9
6
7
(iv)
Temperature (in degree)
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
96 - 106
107 - 117
No. of days
10
29
29
49
5
9
6
7
(v)
Temperature (in degree)
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
96 - 106
107 - 117
No. of days
10
7
31
49
5
9
6
29
Question
19
19.
Weights of 190 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 - 50
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
No. of students
7
10
49
14
45
37
28
(ii)
Weight (in kg)
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
No. of students
7
49
28
14
45
37
10
(iii)
Weight (in kg)
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
No. of students
7
28
47
14
45
37
10
(iv)
Weight (in kg)
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
No. of students
7
28
49
14
45
37
10
(v)
Weight (in kg)
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
No. of students
7
28
49
11
45
37
10
Question
20
20.
Weights of 160 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 - 52
53 - 59
60 - 66
67 - 73
74 - 80
No. of students
43
32
33
42
10
(ii)
Weight (in kg)
46 - 52
53 - 59
60 - 66
67 - 73
74 - 80
No. of students
43
10
33
42
32
(iii)
Weight (in kg)
46 - 52
53 - 59
60 - 66
67 - 73
74 - 80
No. of students
43
32
28
42
10
(iv)
Weight (in kg)
46 - 52
53 - 59
60 - 66
67 - 73
74 - 80
No. of students
43
33
32
42
10
(v)
Weight (in kg)
46 - 52
53 - 59
60 - 66
67 - 73
74 - 80
No. of students
43
37
33
42
10
Question
21
21.
Daily wages of 196 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)
205 - 210
210 - 215
215 - 220
220 - 225
225 - 230
230 - 235
235 - 240
No. of labourers
21
24
31
28
48
23
26
(ii)
Daily wage(in Rs)
205 - 210
210 - 215
215 - 220
220 - 225
225 - 230
230 - 235
235 - 240
No. of labourers
21
24
31
23
48
23
26
(iii)
Daily wage(in Rs)
205 - 210
210 - 215
215 - 220
220 - 225
225 - 230
230 - 235
235 - 240
No. of labourers
21
26
31
23
48
23
24
(iv)
Daily wage(in Rs)
205 - 210
210 - 215
215 - 220
220 - 225
225 - 230
230 - 235
235 - 240
No. of labourers
21
31
24
23
48
23
26
(v)
Daily wage(in Rs)
205 - 210
210 - 215
215 - 220
220 - 225
225 - 230
230 - 235
235 - 240
No. of labourers
21
24
28
23
48
23
26
Question
22
22.
Daily wages of 164 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 - 292
293 - 298
299 - 304
305 - 310
311 - 316
317 - 322
No. of labourers
9
21
47
38
13
36
(ii)
Daily wage(in Rs)
287 - 292
293 - 298
299 - 304
305 - 310
311 - 316
317 - 322
No. of labourers
9
21
44
38
13
36
(iii)
Daily wage(in Rs)
287 - 292
293 - 298
299 - 304
305 - 310
311 - 316
317 - 322
No. of labourers
9
21
47
34
13
36
(iv)
Daily wage(in Rs)
287 - 292
293 - 298
299 - 304
305 - 310
311 - 316
317 - 322
No. of labourers
9
36
47
38
13
21
(v)
Daily wage(in Rs)
287 - 292
293 - 298
299 - 304
305 - 310
311 - 316
317 - 322
No. of labourers
9
47
21
38
13
36
Assignment Key
1) (v)
2) (iii)
3) (i)
4) (i)
5) (iv)
6) (i)
7) (ii)
8) (iv)
9) (v)
10) (ii)
11) (iii)
12) (iv)
13) (ii)
14) (iv)
15) (iv)
16) (iv)
17) (v)
18) (ii)
19) (iv)
20) (i)
21) (ii)
22) (i)