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
27 - 36
36 - 45
45 - 54
54 - 63
63 - 72
72 - 81
Frequency
50
42
67
84
85
68
(ii)
Class-Interval
27 - 36
36 - 45
45 - 54
54 - 63
63 - 72
72 - 81
Frequency
50
68
67
80
85
42
(iii)
Class-Interval
27 - 36
36 - 45
45 - 54
54 - 63
63 - 72
72 - 81
Frequency
50
68
69
84
85
42
(iv)
Class-Interval
27 - 36
36 - 45
45 - 54
54 - 63
63 - 72
72 - 81
Frequency
50
67
68
84
85
42
(v)
Class-Interval
27 - 36
36 - 45
45 - 54
54 - 63
63 - 72
72 - 81
Frequency
50
68
67
84
85
42
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
20
31
28
25
49
(ii)
Age (in years)
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
No. of doctors
20
31
23
25
49
(iii)
Age (in years)
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
No. of doctors
20
33
23
25
49
(iv)
Age (in years)
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
No. of doctors
20
49
23
25
31
(v)
Age (in years)
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
No. of doctors
20
23
31
25
49
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)
179 - 188
188 - 197
197 - 206
206 - 215
215 - 224
No. of weeks
8
6
9
9
10
(ii)
Cost of living index (in rupees)
179 - 188
188 - 197
197 - 206
206 - 215
215 - 224
No. of weeks
8
5
9
9
6
(iii)
Cost of living index (in rupees)
179 - 188
188 - 197
197 - 206
206 - 215
215 - 224
No. of weeks
8
9
10
9
6
(iv)
Cost of living index (in rupees)
179 - 188
188 - 197
197 - 206
206 - 215
215 - 224
No. of weeks
8
10
7
9
6
(v)
Cost of living index (in rupees)
179 - 188
188 - 197
197 - 206
206 - 215
215 - 224
No. of weeks
8
10
9
9
6
Question
4
4.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
71 - 78
79 - 86
87 - 94
Frequency
64
42
23
11
65
27
38
72
(ii)
Class-Interval
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
71 - 78
79 - 86
87 - 94
Frequency
64
42
11
23
70
27
38
72
(iii)
Class-Interval
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
71 - 78
79 - 86
87 - 94
Frequency
64
42
8
23
65
27
38
72
(iv)
Class-Interval
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
71 - 78
79 - 86
87 - 94
Frequency
64
72
11
23
65
27
38
42
(v)
Class-Interval
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
71 - 78
79 - 86
87 - 94
Frequency
64
42
11
23
65
27
38
72
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 - 44
45 - 55
56 - 66
67 - 77
78 - 88
89 - 99
100 - 110
111 - 121
No. of doctors
44
48
11
14
16
47
27
38
(ii)
Age (in years)
34 - 44
45 - 55
56 - 66
67 - 77
78 - 88
89 - 99
100 - 110
111 - 121
No. of doctors
44
38
14
11
16
47
27
48
(iii)
Age (in years)
34 - 44
45 - 55
56 - 66
67 - 77
78 - 88
89 - 99
100 - 110
111 - 121
No. of doctors
44
48
14
11
16
47
27
38
(iv)
Age (in years)
34 - 44
45 - 55
56 - 66
67 - 77
78 - 88
89 - 99
100 - 110
111 - 121
No. of doctors
44
48
11
11
16
47
27
38
(v)
Age (in years)
34 - 44
45 - 55
56 - 66
67 - 77
78 - 88
89 - 99
100 - 110
111 - 121
No. of doctors
44
48
14
11
19
47
27
38
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)
180 - 185
186 - 191
192 - 197
198 - 203
204 - 209
210 - 215
No. of weeks
9
9
5
6
7
6
(ii)
Cost of living index (in rupees)
180 - 185
186 - 191
192 - 197
198 - 203
204 - 209
210 - 215
No. of weeks
9
6
9
6
7
5
(iii)
Cost of living index (in rupees)
180 - 185
186 - 191
192 - 197
198 - 203
204 - 209
210 - 215
No. of weeks
9
5
9
4
7
6
(iv)
Cost of living index (in rupees)
180 - 185
186 - 191
192 - 197
198 - 203
204 - 209
210 - 215
No. of weeks
9
5
5
6
7
6
(v)
Cost of living index (in rupees)
180 - 185
186 - 191
192 - 197
198 - 203
204 - 209
210 - 215
No. of weeks
9
5
9
6
7
6
Question
7
7.
Heights of 200 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)
120 - 129
129 - 138
138 - 147
147 - 156
156 - 165
165 - 174
174 - 183
183 - 192
No. of students
12
25
21
29
17
31
34
34
(ii)
Height (in cm)
120 - 129
129 - 138
138 - 147
147 - 156
156 - 165
165 - 174
174 - 183
183 - 192
No. of students
12
25
29
21
14
31
34
34
(iii)
Height (in cm)
120 - 129
129 - 138
138 - 147
147 - 156
156 - 165
165 - 174
174 - 183
183 - 192
No. of students
12
25
25
29
14
31
34
34
(iv)
Height (in cm)
120 - 129
129 - 138
138 - 147
147 - 156
156 - 165
165 - 174
174 - 183
183 - 192
No. of students
12
25
21
29
14
31
34
34
(v)
Height (in cm)
120 - 129
129 - 138
138 - 147
147 - 156
156 - 165
165 - 174
174 - 183
183 - 192
No. of students
12
34
21
29
14
31
34
25
Question
8
8.
Heights of 196 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 - 126
127 - 132
133 - 138
139 - 144
145 - 150
151 - 156
157 - 162
No. of students
23
36
22
44
10
49
15
(ii)
Height (in cm)
121 - 126
127 - 132
133 - 138
139 - 144
145 - 150
151 - 156
157 - 162
No. of students
23
36
19
44
10
49
15
(iii)
Height (in cm)
121 - 126
127 - 132
133 - 138
139 - 144
145 - 150
151 - 156
157 - 162
No. of students
23
36
19
47
10
49
15
(iv)
Height (in cm)
121 - 126
127 - 132
133 - 138
139 - 144
145 - 150
151 - 156
157 - 162
No. of students
23
15
19
44
10
49
36
(v)
Height (in cm)
121 - 126
127 - 132
133 - 138
139 - 144
145 - 150
151 - 156
157 - 162
No. of students
23
19
36
44
10
49
15
Question
9
9.
Heights of 140 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)
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
No. of plants
35
14
12
21
21
32
(ii)
Height (in cm)
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
No. of plants
35
14
12
26
21
32
(iii)
Height (in cm)
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
No. of plants
35
12
14
26
21
32
(iv)
Height (in cm)
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
No. of plants
35
32
12
26
21
14
(v)
Height (in cm)
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
No. of plants
35
14
16
26
21
32
Question
10
10.
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)
59 - 64
65 - 70
71 - 76
77 - 82
83 - 88
89 - 94
95 - 100
101 - 106
No. of plants
40
5
30
47
27
15
9
16
(ii)
Height (in cm)
59 - 64
65 - 70
71 - 76
77 - 82
83 - 88
89 - 94
95 - 100
101 - 106
No. of plants
40
5
47
30
23
15
9
16
(iii)
Height (in cm)
59 - 64
65 - 70
71 - 76
77 - 82
83 - 88
89 - 94
95 - 100
101 - 106
No. of plants
40
16
30
47
23
15
9
5
(iv)
Height (in cm)
59 - 64
65 - 70
71 - 76
77 - 82
83 - 88
89 - 94
95 - 100
101 - 106
No. of plants
40
5
30
47
23
15
9
16
(v)
Height (in cm)
59 - 64
65 - 70
71 - 76
77 - 82
83 - 88
89 - 94
95 - 100
101 - 106
No. of plants
40
5
34
47
23
15
9
16
Question
11
11.
Ages of 161 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 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
No. of students
15
46
10
24
17
15
34
(ii)
Age (in years)
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
No. of students
15
34
46
24
17
15
10
(iii)
Age (in years)
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
No. of students
15
10
46
24
17
15
34
(iv)
Age (in years)
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
No. of students
15
10
50
24
17
15
34
(v)
Age (in years)
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
No. of students
15
10
46
29
17
15
34
Question
12
12.
Ages of 122 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)
11 - 16
17 - 22
23 - 28
29 - 34
35 - 40
No. of students
40
23
6
20
31
(ii)
Age (in years)
11 - 16
17 - 22
23 - 28
29 - 34
35 - 40
No. of students
40
6
25
20
31
(iii)
Age (in years)
11 - 16
17 - 22
23 - 28
29 - 34
35 - 40
No. of students
40
25
3
20
31
(iv)
Age (in years)
11 - 16
17 - 22
23 - 28
29 - 34
35 - 40
No. of students
40
31
6
20
25
(v)
Age (in years)
11 - 16
17 - 22
23 - 28
29 - 34
35 - 40
No. of students
40
25
6
20
31
Question
13
13.
Scores of 142 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
85 - 91
91 - 97
97 - 103
103 - 109
109 - 115
115 - 121
No. of students
9
30
42
19
27
13
(ii)
Score
85 - 91
91 - 97
97 - 103
103 - 109
109 - 115
115 - 121
No. of students
9
30
44
19
27
13
(iii)
Score
85 - 91
91 - 97
97 - 103
103 - 109
109 - 115
115 - 121
No. of students
9
30
44
24
27
13
(iv)
Score
85 - 91
91 - 97
97 - 103
103 - 109
109 - 115
115 - 121
No. of students
9
44
30
19
27
13
(v)
Score
85 - 91
91 - 97
97 - 103
103 - 109
109 - 115
115 - 121
No. of students
9
13
44
19
27
30
Question
14
14.
Scores of 187 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
135 - 143
No. of students
13
35
33
23
13
21
18
31
(ii)
Score
72 - 80
81 - 89
90 - 98
99 - 107
108 - 116
117 - 125
126 - 134
135 - 143
No. of students
13
35
23
33
13
21
18
31
(iii)
Score
72 - 80
81 - 89
90 - 98
99 - 107
108 - 116
117 - 125
126 - 134
135 - 143
No. of students
13
35
31
23
13
21
18
31
(iv)
Score
72 - 80
81 - 89
90 - 98
99 - 107
108 - 116
117 - 125
126 - 134
135 - 143
No. of students
13
31
33
23
13
21
18
35
(v)
Score
72 - 80
81 - 89
90 - 98
99 - 107
108 - 116
117 - 125
126 - 134
135 - 143
No. of students
13
35
33
23
16
21
18
31
Question
15
15.
Rainfall of 148 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)
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
No. of days
27
43
33
27
18
(ii)
Rainfall (in mm)
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
No. of days
27
39
33
27
18
(iii)
Rainfall (in mm)
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
No. of days
27
43
30
27
18
(iv)
Rainfall (in mm)
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
No. of days
27
18
33
27
43
(v)
Rainfall (in mm)
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
No. of days
27
33
43
27
18
Question
16
16.
Rainfall of 114 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)
9 - 14
15 - 20
21 - 26
27 - 32
33 - 38
No. of days
13
5
45
23
23
(ii)
Rainfall (in mm)
9 - 14
15 - 20
21 - 26
27 - 32
33 - 38
No. of days
13
10
45
23
23
(iii)
Rainfall (in mm)
9 - 14
15 - 20
21 - 26
27 - 32
33 - 38
No. of days
13
45
10
23
23
(iv)
Rainfall (in mm)
9 - 14
15 - 20
21 - 26
27 - 32
33 - 38
No. of days
13
23
45
23
10
(v)
Rainfall (in mm)
9 - 14
15 - 20
21 - 26
27 - 32
33 - 38
No. of days
13
10
47
23
23
Question
17
17.
Temperatures of 183 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 - 41
41 - 47
47 - 53
53 - 59
59 - 65
No. of days
43
43
33
50
17
(ii)
Temperature (in degree)
35 - 41
41 - 47
47 - 53
53 - 59
59 - 65
No. of days
43
17
30
50
43
(iii)
Temperature (in degree)
35 - 41
41 - 47
47 - 53
53 - 59
59 - 65
No. of days
43
30
43
50
17
(iv)
Temperature (in degree)
35 - 41
41 - 47
47 - 53
53 - 59
59 - 65
No. of days
43
45
30
50
17
(v)
Temperature (in degree)
35 - 41
41 - 47
47 - 53
53 - 59
59 - 65
No. of days
43
43
30
50
17
Question
18
18.
Temperatures of 208 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)
31 - 36
37 - 42
43 - 48
49 - 54
55 - 60
61 - 66
67 - 72
73 - 78
No. of days
39
16
12
22
42
25
26
26
(ii)
Temperature (in degree)
31 - 36
37 - 42
43 - 48
49 - 54
55 - 60
61 - 66
67 - 72
73 - 78
No. of days
39
26
22
12
42
25
26
16
(iii)
Temperature (in degree)
31 - 36
37 - 42
43 - 48
49 - 54
55 - 60
61 - 66
67 - 72
73 - 78
No. of days
39
26
17
22
42
25
26
16
(iv)
Temperature (in degree)
31 - 36
37 - 42
43 - 48
49 - 54
55 - 60
61 - 66
67 - 72
73 - 78
No. of days
39
26
12
22
42
25
26
16
(v)
Temperature (in degree)
31 - 36
37 - 42
43 - 48
49 - 54
55 - 60
61 - 66
67 - 72
73 - 78
No. of days
39
26
12
22
45
25
26
16
Question
19
19.
Weights of 180 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 - 53
53 - 58
58 - 63
63 - 68
68 - 73
73 - 78
No. of students
41
34
24
15
22
44
(ii)
Weight (in kg)
48 - 53
53 - 58
58 - 63
63 - 68
68 - 73
73 - 78
No. of students
41
24
44
15
22
34
(iii)
Weight (in kg)
48 - 53
53 - 58
58 - 63
63 - 68
68 - 73
73 - 78
No. of students
41
44
24
15
22
34
(iv)
Weight (in kg)
48 - 53
53 - 58
58 - 63
63 - 68
68 - 73
73 - 78
No. of students
41
44
20
15
22
34
(v)
Weight (in kg)
48 - 53
53 - 58
58 - 63
63 - 68
68 - 73
73 - 78
No. of students
41
44
24
18
22
34
Question
20
20.
Weights of 175 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)
45 - 51
52 - 58
59 - 65
66 - 72
73 - 79
80 - 86
87 - 93
No. of students
9
35
14
48
28
18
23
(ii)
Weight (in kg)
45 - 51
52 - 58
59 - 65
66 - 72
73 - 79
80 - 86
87 - 93
No. of students
9
14
35
48
28
18
23
(iii)
Weight (in kg)
45 - 51
52 - 58
59 - 65
66 - 72
73 - 79
80 - 86
87 - 93
No. of students
9
23
35
48
28
18
14
(iv)
Weight (in kg)
45 - 51
52 - 58
59 - 65
66 - 72
73 - 79
80 - 86
87 - 93
No. of students
9
14
35
46
28
18
23
(v)
Weight (in kg)
45 - 51
52 - 58
59 - 65
66 - 72
73 - 79
80 - 86
87 - 93
No. of students
9
14
37
48
28
18
23
Question
21
21.
Daily wages of 111 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)
273 - 280
280 - 287
287 - 294
294 - 301
301 - 308
No. of labourers
15
22
12
29
33
(ii)
Daily wage(in Rs)
273 - 280
280 - 287
287 - 294
294 - 301
301 - 308
No. of labourers
15
24
12
29
33
(iii)
Daily wage(in Rs)
273 - 280
280 - 287
287 - 294
294 - 301
301 - 308
No. of labourers
15
22
10
29
33
(iv)
Daily wage(in Rs)
273 - 280
280 - 287
287 - 294
294 - 301
301 - 308
No. of labourers
15
12
22
29
33
(v)
Daily wage(in Rs)
273 - 280
280 - 287
287 - 294
294 - 301
301 - 308
No. of labourers
15
33
12
29
22
Question
22
22.
Daily wages of 200 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)
284 - 291
292 - 299
300 - 307
308 - 315
316 - 323
No. of labourers
34
46
43
31
46
(ii)
Daily wage(in Rs)
284 - 291
292 - 299
300 - 307
308 - 315
316 - 323
No. of labourers
34
46
46
31
43
(iii)
Daily wage(in Rs)
284 - 291
292 - 299
300 - 307
308 - 315
316 - 323
No. of labourers
34
48
46
31
46
(iv)
Daily wage(in Rs)
284 - 291
292 - 299
300 - 307
308 - 315
316 - 323
No. of labourers
34
43
50
31
46
(v)
Daily wage(in Rs)
284 - 291
292 - 299
300 - 307
308 - 315
316 - 323
No. of labourers
34
43
46
31
46
Assignment Key
1) (v)
2) (ii)
3) (v)
4) (v)
5) (iii)
6) (v)
7) (iv)
8) (ii)
9) (ii)
10) (iv)
11) (iii)
12) (v)
13) (ii)
14) (i)
15) (i)
16) (ii)
17) (v)
18) (iv)
19) (iii)
20) (ii)
21) (i)
22) (v)