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
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
Frequency
19
50
17
72
66
(ii)
Class-Interval
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
Frequency
19
54
20
72
66
(iii)
Class-Interval
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
Frequency
19
54
17
72
66
(iv)
Class-Interval
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
Frequency
19
17
54
72
66
(v)
Class-Interval
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
Frequency
19
66
17
72
54
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
15
18
16
23
47
(ii)
Age (in years)
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
No. of doctors
15
47
18
23
16
(iii)
Age (in years)
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
No. of doctors
15
16
16
23
47
(iv)
Age (in years)
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
No. of doctors
15
11
18
23
47
(v)
Age (in years)
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
No. of doctors
15
16
18
23
47
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)
169 - 174
174 - 179
179 - 184
184 - 189
189 - 194
No. of weeks
9
5
6
9
8
(ii)
Cost of living index (in rupees)
169 - 174
174 - 179
179 - 184
184 - 189
189 - 194
No. of weeks
9
6
7
9
8
(iii)
Cost of living index (in rupees)
169 - 174
174 - 179
179 - 184
184 - 189
189 - 194
No. of weeks
9
8
5
9
6
(iv)
Cost of living index (in rupees)
169 - 174
174 - 179
179 - 184
184 - 189
189 - 194
No. of weeks
9
8
5
9
8
(v)
Cost of living index (in rupees)
169 - 174
174 - 179
179 - 184
184 - 189
189 - 194
No. of weeks
9
6
5
9
8
Question
4
4.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
Frequency
70
16
18
45
61
22
(ii)
Class-Interval
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
Frequency
70
22
18
45
61
16
(iii)
Class-Interval
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
Frequency
70
18
16
45
61
22
(iv)
Class-Interval
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
Frequency
70
16
21
45
61
22
(v)
Class-Interval
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
Frequency
70
16
18
42
61
22
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 - 34
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
No. of doctors
27
29
38
23
13
22
26
20
(ii)
Age (in years)
29 - 34
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
No. of doctors
27
29
38
23
18
22
26
20
(iii)
Age (in years)
29 - 34
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
No. of doctors
27
29
23
38
18
22
26
20
(iv)
Age (in years)
29 - 34
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
No. of doctors
27
20
38
23
18
22
26
29
(v)
Age (in years)
29 - 34
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
No. of doctors
27
29
35
23
18
22
26
20
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)
109 - 119
120 - 130
131 - 141
142 - 152
153 - 163
164 - 174
No. of weeks
10
8
6
10
5
10
(ii)
Cost of living index (in rupees)
109 - 119
120 - 130
131 - 141
142 - 152
153 - 163
164 - 174
No. of weeks
10
8
9
12
5
10
(iii)
Cost of living index (in rupees)
109 - 119
120 - 130
131 - 141
142 - 152
153 - 163
164 - 174
No. of weeks
10
10
9
10
5
8
(iv)
Cost of living index (in rupees)
109 - 119
120 - 130
131 - 141
142 - 152
153 - 163
164 - 174
No. of weeks
10
9
8
10
5
10
(v)
Cost of living index (in rupees)
109 - 119
120 - 130
131 - 141
142 - 152
153 - 163
164 - 174
No. of weeks
10
8
9
10
5
10
Question
7
7.
Heights of 237 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 - 139
139 - 148
148 - 157
157 - 166
166 - 175
175 - 184
184 - 193
193 - 202
No. of students
5
30
49
28
40
26
34
25
(ii)
Height (in cm)
130 - 139
139 - 148
148 - 157
157 - 166
166 - 175
175 - 184
184 - 193
193 - 202
No. of students
5
30
28
49
40
26
34
25
(iii)
Height (in cm)
130 - 139
139 - 148
148 - 157
157 - 166
166 - 175
175 - 184
184 - 193
193 - 202
No. of students
5
30
28
49
37
26
34
25
(iv)
Height (in cm)
130 - 139
139 - 148
148 - 157
157 - 166
166 - 175
175 - 184
184 - 193
193 - 202
No. of students
5
30
25
49
40
26
34
25
(v)
Height (in cm)
130 - 139
139 - 148
148 - 157
157 - 166
166 - 175
175 - 184
184 - 193
193 - 202
No. of students
5
25
28
49
40
26
34
30
Question
8
8.
Heights of 136 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 - 131
132 - 140
141 - 149
150 - 158
159 - 167
168 - 176
No. of students
12
49
24
20
14
14
(ii)
Height (in cm)
123 - 131
132 - 140
141 - 149
150 - 158
159 - 167
168 - 176
No. of students
12
14
27
20
14
49
(iii)
Height (in cm)
123 - 131
132 - 140
141 - 149
150 - 158
159 - 167
168 - 176
No. of students
12
49
27
20
14
14
(iv)
Height (in cm)
123 - 131
132 - 140
141 - 149
150 - 158
159 - 167
168 - 176
No. of students
12
27
49
20
14
14
(v)
Height (in cm)
123 - 131
132 - 140
141 - 149
150 - 158
159 - 167
168 - 176
No. of students
12
49
27
25
14
14
Question
9
9.
Heights of 211 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
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
95 - 100
No. of plants
38
25
38
23
50
21
16
(ii)
Height (in cm)
65 - 70
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
95 - 100
No. of plants
38
16
38
28
50
21
25
(iii)
Height (in cm)
65 - 70
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
95 - 100
No. of plants
38
16
38
23
50
21
25
(iv)
Height (in cm)
65 - 70
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
95 - 100
No. of plants
38
38
16
23
50
21
25
(v)
Height (in cm)
65 - 70
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
95 - 100
No. of plants
38
16
41
23
50
21
25
Question
10
10.
Heights of 115 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 - 56
57 - 63
64 - 70
71 - 77
78 - 84
85 - 91
92 - 98
No. of plants
12
25
10
22
5
32
5
(ii)
Height (in cm)
50 - 56
57 - 63
64 - 70
71 - 77
78 - 84
85 - 91
92 - 98
No. of plants
12
5
10
26
5
32
25
(iii)
Height (in cm)
50 - 56
57 - 63
64 - 70
71 - 77
78 - 84
85 - 91
92 - 98
No. of plants
12
25
10
26
5
32
5
(iv)
Height (in cm)
50 - 56
57 - 63
64 - 70
71 - 77
78 - 84
85 - 91
92 - 98
No. of plants
12
25
13
26
5
32
5
(v)
Height (in cm)
50 - 56
57 - 63
64 - 70
71 - 77
78 - 84
85 - 91
92 - 98
No. of plants
12
10
25
26
5
32
5
Question
11
11.
Ages of 243 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)
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
59 - 65
No. of students
34
8
34
20
31
34
47
37
(ii)
Age (in years)
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
59 - 65
No. of students
34
8
20
32
31
34
47
37
(iii)
Age (in years)
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
59 - 65
No. of students
34
8
32
20
27
34
47
37
(iv)
Age (in years)
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
59 - 65
No. of students
34
8
32
20
31
34
47
37
(v)
Age (in years)
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
59 - 65
No. of students
34
37
32
20
31
34
47
8
Question
12
12.
Ages of 194 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)
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of students
20
14
11
27
35
7
49
35
(ii)
Age (in years)
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of students
20
14
27
7
35
7
49
35
(iii)
Age (in years)
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of students
20
35
7
27
35
7
49
14
(iv)
Age (in years)
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of students
20
14
7
27
35
7
49
35
(v)
Age (in years)
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of students
20
14
7
27
39
7
49
35
Question
13
13.
Scores of 181 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
86 - 96
96 - 106
106 - 116
116 - 126
126 - 136
136 - 146
No. of students
41
24
29
38
5
44
(ii)
Score
86 - 96
96 - 106
106 - 116
116 - 126
126 - 136
136 - 146
No. of students
41
29
24
38
5
44
(iii)
Score
86 - 96
96 - 106
106 - 116
116 - 126
126 - 136
136 - 146
No. of students
41
44
29
38
5
24
(iv)
Score
86 - 96
96 - 106
106 - 116
116 - 126
126 - 136
136 - 146
No. of students
41
24
31
38
5
44
(v)
Score
86 - 96
96 - 106
106 - 116
116 - 126
126 - 136
136 - 146
No. of students
41
24
29
36
5
44
Question
14
14.
Scores of 191 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
71 - 78
79 - 86
87 - 94
95 - 102
103 - 110
No. of students
33
26
41
50
41
(ii)
Score
71 - 78
79 - 86
87 - 94
95 - 102
103 - 110
No. of students
33
41
41
50
26
(iii)
Score
71 - 78
79 - 86
87 - 94
95 - 102
103 - 110
No. of students
33
41
26
50
41
(iv)
Score
71 - 78
79 - 86
87 - 94
95 - 102
103 - 110
No. of students
33
28
41
50
41
(v)
Score
71 - 78
79 - 86
87 - 94
95 - 102
103 - 110
No. of students
33
26
39
50
41
Question
15
15.
Rainfall of 196 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 - 17
17 - 22
22 - 27
27 - 32
32 - 37
37 - 42
42 - 47
No. of days
13
41
26
35
25
19
37
(ii)
Rainfall (in mm)
12 - 17
17 - 22
22 - 27
27 - 32
32 - 37
37 - 42
42 - 47
No. of days
13
37
41
35
25
19
26
(iii)
Rainfall (in mm)
12 - 17
17 - 22
22 - 27
27 - 32
32 - 37
37 - 42
42 - 47
No. of days
13
26
38
35
25
19
37
(iv)
Rainfall (in mm)
12 - 17
17 - 22
22 - 27
27 - 32
32 - 37
37 - 42
42 - 47
No. of days
13
26
41
33
25
19
37
(v)
Rainfall (in mm)
12 - 17
17 - 22
22 - 27
27 - 32
32 - 37
37 - 42
42 - 47
No. of days
13
26
41
35
25
19
37
Question
16
16.
Rainfall of 193 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 - 10
11 - 16
17 - 22
23 - 28
29 - 34
35 - 40
41 - 46
47 - 52
No. of days
9
16
49
32
10
24
21
32
(ii)
Rainfall (in mm)
5 - 10
11 - 16
17 - 22
23 - 28
29 - 34
35 - 40
41 - 46
47 - 52
No. of days
9
16
32
49
10
24
21
32
(iii)
Rainfall (in mm)
5 - 10
11 - 16
17 - 22
23 - 28
29 - 34
35 - 40
41 - 46
47 - 52
No. of days
9
16
32
49
5
24
21
32
(iv)
Rainfall (in mm)
5 - 10
11 - 16
17 - 22
23 - 28
29 - 34
35 - 40
41 - 46
47 - 52
No. of days
9
16
27
49
10
24
21
32
(v)
Rainfall (in mm)
5 - 10
11 - 16
17 - 22
23 - 28
29 - 34
35 - 40
41 - 46
47 - 52
No. of days
9
32
32
49
10
24
21
16
Question
17
17.
Temperatures of 186 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 - 45
45 - 55
55 - 65
65 - 75
75 - 85
85 - 95
No. of days
28
36
30
16
34
38
(ii)
Temperature (in degree)
35 - 45
45 - 55
55 - 65
65 - 75
75 - 85
85 - 95
No. of days
28
38
30
20
34
36
(iii)
Temperature (in degree)
35 - 45
45 - 55
55 - 65
65 - 75
75 - 85
85 - 95
No. of days
28
30
36
20
34
38
(iv)
Temperature (in degree)
35 - 45
45 - 55
55 - 65
65 - 75
75 - 85
85 - 95
No. of days
28
36
35
20
34
38
(v)
Temperature (in degree)
35 - 45
45 - 55
55 - 65
65 - 75
75 - 85
85 - 95
No. of days
28
36
30
20
34
38
Question
18
18.
Temperatures of 127 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 - 42
43 - 50
51 - 58
59 - 66
67 - 74
No. of days
13
15
4
50
42
(ii)
Temperature (in degree)
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
No. of days
13
10
7
50
42
(iii)
Temperature (in degree)
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
No. of days
13
42
7
50
15
(iv)
Temperature (in degree)
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
No. of days
13
7
15
50
42
(v)
Temperature (in degree)
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
No. of days
13
15
7
50
42
Question
19
19.
Weights of 145 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)
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
No. of students
7
46
12
34
41
(ii)
Weight (in kg)
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
No. of students
7
50
17
34
41
(iii)
Weight (in kg)
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
No. of students
7
17
46
34
41
(iv)
Weight (in kg)
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
No. of students
7
46
17
34
41
(v)
Weight (in kg)
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
No. of students
7
41
17
34
46
Question
20
20.
Weights of 224 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)
57 - 63
64 - 70
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
106 - 112
No. of students
25
25
42
37
23
18
35
19
(ii)
Weight (in kg)
57 - 63
64 - 70
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
106 - 112
No. of students
25
19
42
37
23
18
35
25
(iii)
Weight (in kg)
57 - 63
64 - 70
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
106 - 112
No. of students
25
19
37
42
23
18
35
25
(iv)
Weight (in kg)
57 - 63
64 - 70
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
106 - 112
No. of students
25
19
42
37
21
18
35
25
(v)
Weight (in kg)
57 - 63
64 - 70
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
106 - 112
No. of students
25
19
37
37
23
18
35
25
Question
21
21.
Daily wages of 135 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)
246 - 254
254 - 262
262 - 270
270 - 278
278 - 286
286 - 294
No. of labourers
16
44
48
5
12
10
(ii)
Daily wage(in Rs)
246 - 254
254 - 262
262 - 270
270 - 278
278 - 286
286 - 294
No. of labourers
16
10
48
5
12
44
(iii)
Daily wage(in Rs)
246 - 254
254 - 262
262 - 270
270 - 278
278 - 286
286 - 294
No. of labourers
16
10
48
3
12
44
(iv)
Daily wage(in Rs)
246 - 254
254 - 262
262 - 270
270 - 278
278 - 286
286 - 294
No. of labourers
16
10
46
5
12
44
(v)
Daily wage(in Rs)
246 - 254
254 - 262
262 - 270
270 - 278
278 - 286
286 - 294
No. of labourers
16
48
10
5
12
44
Question
22
22.
Daily wages of 279 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 - 214
215 - 223
224 - 232
233 - 241
242 - 250
251 - 259
260 - 268
269 - 277
No. of labourers
50
38
25
34
7
46
49
30
(ii)
Daily wage(in Rs)
206 - 214
215 - 223
224 - 232
233 - 241
242 - 250
251 - 259
260 - 268
269 - 277
No. of labourers
50
30
22
34
7
46
49
38
(iii)
Daily wage(in Rs)
206 - 214
215 - 223
224 - 232
233 - 241
242 - 250
251 - 259
260 - 268
269 - 277
No. of labourers
50
30
34
25
7
46
49
38
(iv)
Daily wage(in Rs)
206 - 214
215 - 223
224 - 232
233 - 241
242 - 250
251 - 259
260 - 268
269 - 277
No. of labourers
50
30
25
34
7
46
49
38
(v)
Daily wage(in Rs)
206 - 214
215 - 223
224 - 232
233 - 241
242 - 250
251 - 259
260 - 268
269 - 277
No. of labourers
50
30
25
34
3
46
49
38
Assignment Key
1) (iii)
2) (v)
3) (v)
4) (i)
5) (ii)
6) (v)
7) (ii)
8) (iii)
9) (iii)
10) (iii)
11) (iv)
12) (iv)
13) (i)
14) (i)
15) (v)
16) (ii)
17) (v)
18) (v)
19) (iv)
20) (ii)
21) (ii)
22) (iv)