EduSahara™ Assignment
Name : Histogram and Frequency Polygon on the same Graph
Chapter : Frequency Distribution Tables and Graphs
Grade : SSC Grade VIII
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
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
Frequency
62
33
26
82
70
(ii)
Class-Interval
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
Frequency
62
70
33
82
26
(iii)
Class-Interval
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
Frequency
62
31
33
82
70
(iv)
Class-Interval
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
Frequency
62
26
33
82
70
(v)
Class-Interval
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
Frequency
62
26
36
82
70
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)
28 - 34
34 - 40
40 - 46
46 - 52
52 - 58
58 - 64
No. of doctors
37
22
34
28
23
46
(ii)
Age (in years)
28 - 34
34 - 40
40 - 46
46 - 52
52 - 58
58 - 64
No. of doctors
37
34
22
28
23
46
(iii)
Age (in years)
28 - 34
34 - 40
40 - 46
46 - 52
52 - 58
58 - 64
No. of doctors
37
34
27
28
23
46
(iv)
Age (in years)
28 - 34
34 - 40
40 - 46
46 - 52
52 - 58
58 - 64
No. of doctors
37
34
22
26
23
46
(v)
Age (in years)
28 - 34
34 - 40
40 - 46
46 - 52
52 - 58
58 - 64
No. of doctors
37
46
22
28
23
34
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)
146 - 155
155 - 164
164 - 173
173 - 182
182 - 191
No. of weeks
5
12
9
5
9
(ii)
Cost of living index (in rupees)
146 - 155
155 - 164
164 - 173
173 - 182
182 - 191
No. of weeks
5
9
5
5
9
(iii)
Cost of living index (in rupees)
146 - 155
155 - 164
164 - 173
173 - 182
182 - 191
No. of weeks
5
9
9
5
9
Question
4
4.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
69 - 77
78 - 86
87 - 95
Frequency
72
38
83
63
64
83
68
49
(ii)
Class-Interval
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
69 - 77
78 - 86
87 - 95
Frequency
72
38
83
63
68
83
68
49
(iii)
Class-Interval
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
69 - 77
78 - 86
87 - 95
Frequency
72
38
85
63
68
83
68
49
(iv)
Class-Interval
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
69 - 77
78 - 86
87 - 95
Frequency
72
38
63
83
68
83
68
49
(v)
Class-Interval
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
69 - 77
78 - 86
87 - 95
Frequency
72
49
83
63
68
83
68
38
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 - 36
37 - 44
45 - 52
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
No. of doctors
33
48
23
12
21
28
13
49
(ii)
Age (in years)
29 - 36
37 - 44
45 - 52
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
No. of doctors
33
49
19
12
21
28
13
48
(iii)
Age (in years)
29 - 36
37 - 44
45 - 52
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
No. of doctors
33
49
23
12
24
28
13
48
(iv)
Age (in years)
29 - 36
37 - 44
45 - 52
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
No. of doctors
33
49
12
23
21
28
13
48
(v)
Age (in years)
29 - 36
37 - 44
45 - 52
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
No. of doctors
33
49
23
12
21
28
13
48
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)
170 - 177
178 - 185
186 - 193
194 - 201
202 - 209
210 - 217
No. of weeks
8
6
6
6
10
5
(ii)
Cost of living index (in rupees)
170 - 177
178 - 185
186 - 193
194 - 201
202 - 209
210 - 217
No. of weeks
8
5
10
6
10
6
(iii)
Cost of living index (in rupees)
170 - 177
178 - 185
186 - 193
194 - 201
202 - 209
210 - 217
No. of weeks
8
5
6
6
10
6
(iv)
Cost of living index (in rupees)
170 - 177
178 - 185
186 - 193
194 - 201
202 - 209
210 - 217
No. of weeks
8
5
6
2
10
6
(v)
Cost of living index (in rupees)
170 - 177
178 - 185
186 - 193
194 - 201
202 - 209
210 - 217
No. of weeks
8
6
5
6
10
6
Question
7
7.
Heights of 207 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 - 134
134 - 141
141 - 148
148 - 155
155 - 162
162 - 169
169 - 176
176 - 183
No. of students
19
44
22
37
29
22
25
13
(ii)
Height (in cm)
127 - 134
134 - 141
141 - 148
148 - 155
155 - 162
162 - 169
169 - 176
176 - 183
No. of students
19
44
18
37
29
22
25
13
(iii)
Height (in cm)
127 - 134
134 - 141
141 - 148
148 - 155
155 - 162
162 - 169
169 - 176
176 - 183
No. of students
19
13
18
37
29
22
25
44
(iv)
Height (in cm)
127 - 134
134 - 141
141 - 148
148 - 155
155 - 162
162 - 169
169 - 176
176 - 183
No. of students
19
44
37
18
29
22
25
13
(v)
Height (in cm)
127 - 134
134 - 141
141 - 148
148 - 155
155 - 162
162 - 169
169 - 176
176 - 183
No. of students
19
44
18
37
24
22
25
13
Question
8
8.
Heights of 250 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)
121 - 128
129 - 136
137 - 144
145 - 152
153 - 160
161 - 168
169 - 176
177 - 184
No. of students
45
31
35
46
10
31
8
44
(ii)
Height (in cm)
121 - 128
129 - 136
137 - 144
145 - 152
153 - 160
161 - 168
169 - 176
177 - 184
No. of students
45
44
35
46
10
31
8
31
(iii)
Height (in cm)
121 - 128
129 - 136
137 - 144
145 - 152
153 - 160
161 - 168
169 - 176
177 - 184
No. of students
45
44
31
46
10
31
8
31
(iv)
Height (in cm)
121 - 128
129 - 136
137 - 144
145 - 152
153 - 160
161 - 168
169 - 176
177 - 184
No. of students
45
44
46
35
10
31
8
31
(v)
Height (in cm)
121 - 128
129 - 136
137 - 144
145 - 152
153 - 160
161 - 168
169 - 176
177 - 184
No. of students
45
44
35
46
15
31
8
31
Question
9
9.
Heights of 162 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)
63 - 71
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
No. of plants
38
31
25
10
45
13
(ii)
Height (in cm)
63 - 71
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
No. of plants
38
25
31
10
45
13
(iii)
Height (in cm)
63 - 71
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
No. of plants
38
13
25
10
45
31
(iv)
Height (in cm)
63 - 71
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
No. of plants
38
31
30
10
45
13
(v)
Height (in cm)
63 - 71
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
No. of plants
38
31
25
14
45
13
Question
10
10.
Heights of 179 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)
50 - 57
58 - 65
66 - 73
74 - 81
82 - 89
90 - 97
98 - 105
No. of plants
29
7
30
7
47
26
31
(ii)
Height (in cm)
50 - 57
58 - 65
66 - 73
74 - 81
82 - 89
90 - 97
98 - 105
No. of plants
29
7
32
7
47
26
31
(iii)
Height (in cm)
50 - 57
58 - 65
66 - 73
74 - 81
82 - 89
90 - 97
98 - 105
No. of plants
29
7
32
4
47
26
31
(iv)
Height (in cm)
50 - 57
58 - 65
66 - 73
74 - 81
82 - 89
90 - 97
98 - 105
No. of plants
29
32
7
7
47
26
31
(v)
Height (in cm)
50 - 57
58 - 65
66 - 73
74 - 81
82 - 89
90 - 97
98 - 105
No. of plants
29
31
32
7
47
26
7
Question
11
11.
Ages of 142 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 - 27
27 - 36
36 - 45
45 - 54
54 - 63
63 - 72
No. of students
27
32
30
30
7
14
(ii)
Age (in years)
18 - 27
27 - 36
36 - 45
45 - 54
54 - 63
63 - 72
No. of students
27
14
32
30
7
32
(iii)
Age (in years)
18 - 27
27 - 36
36 - 45
45 - 54
54 - 63
63 - 72
No. of students
27
32
32
34
7
14
(iv)
Age (in years)
18 - 27
27 - 36
36 - 45
45 - 54
54 - 63
63 - 72
No. of students
27
32
32
30
7
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)
10 - 18
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
No. of students
38
27
16
22
7
11
12
(ii)
Age (in years)
10 - 18
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
No. of students
38
12
16
22
7
11
27
(iii)
Age (in years)
10 - 18
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
No. of students
38
12
16
25
7
11
27
(iv)
Age (in years)
10 - 18
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
No. of students
38
16
12
22
7
11
27
(v)
Age (in years)
10 - 18
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
No. of students
38
12
14
22
7
11
27
Question
13
13.
Scores of 139 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
71 - 81
81 - 91
91 - 101
101 - 111
111 - 121
121 - 131
No. of students
14
23
6
50
37
13
(ii)
Score
71 - 81
81 - 91
91 - 101
101 - 111
111 - 121
121 - 131
No. of students
14
13
6
46
37
23
(iii)
Score
71 - 81
81 - 91
91 - 101
101 - 111
111 - 121
121 - 131
No. of students
14
23
6
46
37
13
(iv)
Score
71 - 81
81 - 91
91 - 101
101 - 111
111 - 121
121 - 131
No. of students
14
23
1
46
37
13
(v)
Score
71 - 81
81 - 91
91 - 101
101 - 111
111 - 121
121 - 131
No. of students
14
6
23
46
37
13
Question
14
14.
Scores of 148 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
75 - 82
83 - 90
91 - 98
99 - 106
107 - 114
No. of students
16
24
48
25
35
(ii)
Score
75 - 82
83 - 90
91 - 98
99 - 106
107 - 114
No. of students
16
35
24
25
48
(iii)
Score
75 - 82
83 - 90
91 - 98
99 - 106
107 - 114
No. of students
16
48
20
25
35
(iv)
Score
75 - 82
83 - 90
91 - 98
99 - 106
107 - 114
No. of students
16
48
24
25
35
(v)
Score
75 - 82
83 - 90
91 - 98
99 - 106
107 - 114
No. of students
16
50
24
25
35
Question
15
15.
Rainfall of 229 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)
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
No. of days
32
15
34
48
42
7
46
8
(ii)
Rainfall (in mm)
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
No. of days
32
15
48
34
39
7
46
8
(iii)
Rainfall (in mm)
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
No. of days
32
8
34
48
39
7
46
15
(iv)
Rainfall (in mm)
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
No. of days
32
15
34
48
39
7
46
8
(v)
Rainfall (in mm)
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
No. of days
32
15
39
48
39
7
46
8
Question
16
16.
Rainfall of 279 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 - 11
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
No. of days
43
43
22
41
45
28
38
19
(ii)
Rainfall (in mm)
5 - 11
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
No. of days
43
43
26
41
45
28
38
19
(iii)
Rainfall (in mm)
5 - 11
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
No. of days
43
19
22
41
45
28
38
43
(iv)
Rainfall (in mm)
5 - 11
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
No. of days
43
43
22
41
48
28
38
19
(v)
Rainfall (in mm)
5 - 11
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
No. of days
43
43
41
22
45
28
38
19
Question
17
17.
Temperatures of 124 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
No. of days
25
21
34
8
36
(ii)
Temperature (in degree)
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
No. of days
25
34
25
8
36
(iii)
Temperature (in degree)
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
No. of days
25
34
21
8
36
(iv)
Temperature (in degree)
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
No. of days
25
29
21
8
36
(v)
Temperature (in degree)
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
No. of days
25
36
21
8
34
Question
18
18.
Temperatures of 117 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 - 33
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
No. of days
10
11
24
37
20
10
(ii)
Temperature (in degree)
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
No. of days
10
24
11
42
20
10
(iii)
Temperature (in degree)
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
No. of days
10
11
29
42
20
10
(iv)
Temperature (in degree)
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
No. of days
10
11
24
42
20
10
(v)
Temperature (in degree)
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
No. of days
10
10
24
42
20
11
Question
19
19.
Weights of 232 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)
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
81 - 86
No. of students
28
40
30
40
37
26
31
(ii)
Weight (in kg)
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
81 - 86
No. of students
28
30
36
40
37
26
31
(iii)
Weight (in kg)
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
81 - 86
No. of students
28
30
40
40
37
26
31
(iv)
Weight (in kg)
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
81 - 86
No. of students
28
31
40
40
37
26
30
(v)
Weight (in kg)
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
81 - 86
No. of students
28
30
40
45
37
26
31
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)
51 - 58
59 - 66
67 - 74
75 - 82
83 - 90
91 - 98
99 - 106
No. of students
19
19
34
30
19
32
43
(ii)
Weight (in kg)
51 - 58
59 - 66
67 - 74
75 - 82
83 - 90
91 - 98
99 - 106
No. of students
19
34
19
30
19
32
43
(iii)
Weight (in kg)
51 - 58
59 - 66
67 - 74
75 - 82
83 - 90
91 - 98
99 - 106
No. of students
19
43
34
30
19
32
19
(iv)
Weight (in kg)
51 - 58
59 - 66
67 - 74
75 - 82
83 - 90
91 - 98
99 - 106
No. of students
19
19
34
35
19
32
43
(v)
Weight (in kg)
51 - 58
59 - 66
67 - 74
75 - 82
83 - 90
91 - 98
99 - 106
No. of students
19
19
31
30
19
32
43
Question
21
21.
Daily wages of 197 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)
291 - 300
300 - 309
309 - 318
318 - 327
327 - 336
336 - 345
No. of labourers
43
39
40
38
10
32
(ii)
Daily wage(in Rs)
291 - 300
300 - 309
309 - 318
318 - 327
327 - 336
336 - 345
No. of labourers
43
40
39
33
10
32
(iii)
Daily wage(in Rs)
291 - 300
300 - 309
309 - 318
318 - 327
327 - 336
336 - 345
No. of labourers
43
32
40
33
10
39
(iv)
Daily wage(in Rs)
291 - 300
300 - 309
309 - 318
318 - 327
327 - 336
336 - 345
No. of labourers
43
39
45
33
10
32
(v)
Daily wage(in Rs)
291 - 300
300 - 309
309 - 318
318 - 327
327 - 336
336 - 345
No. of labourers
43
39
40
33
10
32
Question
22
22.
Daily wages of 123 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)
297 - 307
308 - 318
319 - 329
330 - 340
341 - 351
352 - 362
363 - 373
No. of labourers
36
9
12
5
18
23
20
(ii)
Daily wage(in Rs)
297 - 307
308 - 318
319 - 329
330 - 340
341 - 351
352 - 362
363 - 373
No. of labourers
36
12
20
5
18
23
9
(iii)
Daily wage(in Rs)
297 - 307
308 - 318
319 - 329
330 - 340
341 - 351
352 - 362
363 - 373
No. of labourers
36
20
12
5
18
23
9
(iv)
Daily wage(in Rs)
297 - 307
308 - 318
319 - 329
330 - 340
341 - 351
352 - 362
363 - 373
No. of labourers
36
20
17
5
18
23
9
(v)
Daily wage(in Rs)
297 - 307
308 - 318
319 - 329
330 - 340
341 - 351
352 - 362
363 - 373
No. of labourers
36
20
12
10
18
23
9
Assignment Key
1) (iv)
2) (ii)
3) (iii)
4) (ii)
5) (v)
6) (iii)
7) (ii)
8) (ii)
9) (i)
10) (ii)
11) (iv)
12) (ii)
13) (iii)
14) (iv)
15) (iv)
16) (i)
17) (iii)
18) (iv)
19) (iii)
20) (i)
21) (v)
22) (iii)