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
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
51 - 56
Frequency
25
65
8
36
87
59
64
(ii)
Class-Interval
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
51 - 56
Frequency
25
64
11
36
87
59
65
(iii)
Class-Interval
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
51 - 56
Frequency
25
65
11
32
87
59
64
(iv)
Class-Interval
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
51 - 56
Frequency
25
65
11
36
87
59
64
(v)
Class-Interval
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
51 - 56
Frequency
25
11
65
36
87
59
64
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)
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
No. of doctors
35
47
21
54
47
35
(ii)
Age (in years)
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
No. of doctors
35
47
25
49
47
35
(iii)
Age (in years)
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
No. of doctors
35
35
21
49
47
47
(iv)
Age (in years)
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
No. of doctors
35
21
47
49
47
35
(v)
Age (in years)
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
No. of doctors
35
47
21
49
47
35
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)
125 - 133
133 - 141
141 - 149
149 - 157
157 - 165
165 - 173
No. of weeks
7
5
7
5
5
7
(ii)
Cost of living index (in rupees)
125 - 133
133 - 141
141 - 149
149 - 157
157 - 165
165 - 173
No. of weeks
7
7
7
5
5
5
(iii)
Cost of living index (in rupees)
125 - 133
133 - 141
141 - 149
149 - 157
157 - 165
165 - 173
No. of weeks
7
7
4
5
5
5
(iv)
Cost of living index (in rupees)
125 - 133
133 - 141
141 - 149
149 - 157
157 - 165
165 - 173
No. of weeks
7
7
7
3
5
5
Question
4
4.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
Frequency
82
53
34
64
44
(ii)
Class-Interval
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
Frequency
82
34
51
64
44
(iii)
Class-Interval
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
Frequency
82
44
53
64
34
(iv)
Class-Interval
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
Frequency
82
32
53
64
44
(v)
Class-Interval
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
Frequency
82
34
53
64
44
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)
26 - 36
37 - 47
48 - 58
59 - 69
70 - 80
81 - 91
No. of doctors
10
25
43
33
29
21
(ii)
Age (in years)
26 - 36
37 - 47
48 - 58
59 - 69
70 - 80
81 - 91
No. of doctors
10
25
39
31
29
21
(iii)
Age (in years)
26 - 36
37 - 47
48 - 58
59 - 69
70 - 80
81 - 91
No. of doctors
10
21
43
31
29
25
(iv)
Age (in years)
26 - 36
37 - 47
48 - 58
59 - 69
70 - 80
81 - 91
No. of doctors
10
43
25
31
29
21
(v)
Age (in years)
26 - 36
37 - 47
48 - 58
59 - 69
70 - 80
81 - 91
No. of doctors
10
25
43
31
29
21
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)
193 - 203
204 - 214
215 - 225
226 - 236
237 - 247
248 - 258
No. of weeks
5
7
9
9
5
6
(ii)
Cost of living index (in rupees)
193 - 203
204 - 214
215 - 225
226 - 236
237 - 247
248 - 258
No. of weeks
5
6
9
9
5
7
(iii)
Cost of living index (in rupees)
193 - 203
204 - 214
215 - 225
226 - 236
237 - 247
248 - 258
No. of weeks
5
9
6
9
5
7
(iv)
Cost of living index (in rupees)
193 - 203
204 - 214
215 - 225
226 - 236
237 - 247
248 - 258
No. of weeks
5
6
5
9
5
7
(v)
Cost of living index (in rupees)
193 - 203
204 - 214
215 - 225
226 - 236
237 - 247
248 - 258
No. of weeks
5
6
9
5
5
7
Question
7
7.
Heights of 185 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)
125 - 130
130 - 135
135 - 140
140 - 145
145 - 150
150 - 155
No. of students
19
40
30
36
27
33
(ii)
Height (in cm)
125 - 130
130 - 135
135 - 140
140 - 145
145 - 150
150 - 155
No. of students
19
33
30
36
27
40
(iii)
Height (in cm)
125 - 130
130 - 135
135 - 140
140 - 145
145 - 150
150 - 155
No. of students
19
40
27
36
27
33
(iv)
Height (in cm)
125 - 130
130 - 135
135 - 140
140 - 145
145 - 150
150 - 155
No. of students
19
30
40
36
27
33
(v)
Height (in cm)
125 - 130
130 - 135
135 - 140
140 - 145
145 - 150
150 - 155
No. of students
19
40
30
40
27
33
Question
8
8.
Heights of 201 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 - 130
131 - 141
142 - 152
153 - 163
164 - 174
175 - 185
186 - 196
No. of students
38
10
23
25
44
28
31
(ii)
Height (in cm)
120 - 130
131 - 141
142 - 152
153 - 163
164 - 174
175 - 185
186 - 196
No. of students
38
23
10
27
44
28
31
(iii)
Height (in cm)
120 - 130
131 - 141
142 - 152
153 - 163
164 - 174
175 - 185
186 - 196
No. of students
38
10
18
27
44
28
31
(iv)
Height (in cm)
120 - 130
131 - 141
142 - 152
153 - 163
164 - 174
175 - 185
186 - 196
No. of students
38
10
23
27
44
28
31
(v)
Height (in cm)
120 - 130
131 - 141
142 - 152
153 - 163
164 - 174
175 - 185
186 - 196
No. of students
38
31
23
27
44
28
10
Question
9
9.
Heights of 197 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)
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
99 - 106
No. of plants
35
20
18
8
45
35
36
(ii)
Height (in cm)
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
99 - 106
No. of plants
35
20
13
8
45
35
36
(iii)
Height (in cm)
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
99 - 106
No. of plants
35
18
20
8
45
35
36
(iv)
Height (in cm)
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
99 - 106
No. of plants
35
36
18
8
45
35
20
(v)
Height (in cm)
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
99 - 106
No. of plants
35
20
18
12
45
35
36
Question
10
10.
Heights of 149 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)
69 - 78
79 - 88
89 - 98
99 - 108
109 - 118
119 - 128
129 - 138
No. of plants
36
25
20
8
11
14
35
(ii)
Height (in cm)
69 - 78
79 - 88
89 - 98
99 - 108
109 - 118
119 - 128
129 - 138
No. of plants
36
20
35
8
11
14
25
(iii)
Height (in cm)
69 - 78
79 - 88
89 - 98
99 - 108
109 - 118
119 - 128
129 - 138
No. of plants
36
35
20
8
11
14
25
(iv)
Height (in cm)
69 - 78
79 - 88
89 - 98
99 - 108
109 - 118
119 - 128
129 - 138
No. of plants
36
35
20
11
11
14
25
(v)
Height (in cm)
69 - 78
79 - 88
89 - 98
99 - 108
109 - 118
119 - 128
129 - 138
No. of plants
36
35
25
8
11
14
25
Question
11
11.
Ages of 196 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 - 17
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
No. of students
45
5
36
30
14
44
27
(ii)
Age (in years)
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
No. of students
45
31
5
30
14
44
27
(iii)
Age (in years)
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
No. of students
45
27
31
30
14
44
5
(iv)
Age (in years)
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
No. of students
45
5
31
30
14
44
27
(v)
Age (in years)
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
No. of students
45
5
31
27
14
44
27
Question
12
12.
Ages of 88 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)
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
No. of students
16
42
2
19
6
(ii)
Age (in years)
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
No. of students
16
42
5
19
6
(iii)
Age (in years)
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
No. of students
16
6
5
19
42
(iv)
Age (in years)
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
No. of students
16
5
42
19
6
(v)
Age (in years)
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
No. of students
16
47
5
19
6
Question
13
13.
Scores of 206 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
77 - 82
82 - 87
87 - 92
92 - 97
97 - 102
102 - 107
107 - 112
No. of students
24
29
48
43
30
23
9
(ii)
Score
77 - 82
82 - 87
87 - 92
92 - 97
97 - 102
102 - 107
107 - 112
No. of students
24
9
29
43
30
23
48
(iii)
Score
77 - 82
82 - 87
87 - 92
92 - 97
97 - 102
102 - 107
107 - 112
No. of students
24
48
29
47
30
23
9
(iv)
Score
77 - 82
82 - 87
87 - 92
92 - 97
97 - 102
102 - 107
107 - 112
No. of students
24
48
29
43
30
23
9
(v)
Score
77 - 82
82 - 87
87 - 92
92 - 97
97 - 102
102 - 107
107 - 112
No. of students
24
48
26
43
30
23
9
Question
14
14.
Scores of 182 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
90 - 98
99 - 107
108 - 116
117 - 125
126 - 134
No. of students
26
32
42
29
50
(ii)
Score
90 - 98
99 - 107
108 - 116
117 - 125
126 - 134
No. of students
26
29
45
29
50
(iii)
Score
90 - 98
99 - 107
108 - 116
117 - 125
126 - 134
No. of students
26
32
45
29
50
(iv)
Score
90 - 98
99 - 107
108 - 116
117 - 125
126 - 134
No. of students
26
45
32
29
50
(v)
Score
90 - 98
99 - 107
108 - 116
117 - 125
126 - 134
No. of students
26
50
45
29
32
Question
15
15.
Rainfall of 125 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)
14 - 24
24 - 34
34 - 44
44 - 54
54 - 64
64 - 74
No. of days
20
8
31
12
32
22
(ii)
Rainfall (in mm)
14 - 24
24 - 34
34 - 44
44 - 54
54 - 64
64 - 74
No. of days
20
22
31
15
32
8
(iii)
Rainfall (in mm)
14 - 24
24 - 34
34 - 44
44 - 54
54 - 64
64 - 74
No. of days
20
31
22
12
32
8
(iv)
Rainfall (in mm)
14 - 24
24 - 34
34 - 44
44 - 54
54 - 64
64 - 74
No. of days
20
22
35
12
32
8
(v)
Rainfall (in mm)
14 - 24
24 - 34
34 - 44
44 - 54
54 - 64
64 - 74
No. of days
20
22
31
12
32
8
Question
16
16.
Rainfall of 232 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 - 20
21 - 29
30 - 38
39 - 47
48 - 56
57 - 65
No. of days
31
34
42
43
48
34
(ii)
Rainfall (in mm)
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
57 - 65
No. of days
31
34
42
40
48
34
(iii)
Rainfall (in mm)
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
57 - 65
No. of days
31
34
44
43
48
34
(iv)
Rainfall (in mm)
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
57 - 65
No. of days
31
42
34
43
48
34
Question
17
17.
Temperatures of 248 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)
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
73 - 81
81 - 89
No. of days
40
48
5
30
38
6
37
49
(ii)
Temperature (in degree)
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
73 - 81
81 - 89
No. of days
40
49
5
30
33
6
37
48
(iii)
Temperature (in degree)
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
73 - 81
81 - 89
No. of days
40
48
30
5
33
6
37
49
(iv)
Temperature (in degree)
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
73 - 81
81 - 89
No. of days
40
48
1
30
33
6
37
49
(v)
Temperature (in degree)
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
73 - 81
81 - 89
No. of days
40
48
5
30
33
6
37
49
Question
18
18.
Temperatures of 211 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)
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
No. of days
42
31
43
31
32
11
18
6
(ii)
Temperature (in degree)
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
No. of days
42
31
40
31
32
11
18
6
(iii)
Temperature (in degree)
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
No. of days
42
31
31
40
32
11
18
6
(iv)
Temperature (in degree)
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
No. of days
42
6
40
31
32
11
18
31
(v)
Temperature (in degree)
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
No. of days
42
31
40
31
30
11
18
6
Question
19
19.
Weights of 216 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)
50 - 59
59 - 68
68 - 77
77 - 86
86 - 95
95 - 104
104 - 113
113 - 122
No. of students
21
35
24
50
12
24
29
21
(ii)
Weight (in kg)
50 - 59
59 - 68
68 - 77
77 - 86
86 - 95
95 - 104
104 - 113
113 - 122
No. of students
21
21
24
50
12
24
29
35
(iii)
Weight (in kg)
50 - 59
59 - 68
68 - 77
77 - 86
86 - 95
95 - 104
104 - 113
113 - 122
No. of students
21
21
28
50
12
24
29
35
(iv)
Weight (in kg)
50 - 59
59 - 68
68 - 77
77 - 86
86 - 95
95 - 104
104 - 113
113 - 122
No. of students
21
21
24
50
16
24
29
35
(v)
Weight (in kg)
50 - 59
59 - 68
68 - 77
77 - 86
86 - 95
95 - 104
104 - 113
113 - 122
No. of students
21
21
50
24
12
24
29
35
Question
20
20.
Weights of 246 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)
42 - 50
51 - 59
60 - 68
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
No. of students
40
9
24
29
48
45
29
22
(ii)
Weight (in kg)
42 - 50
51 - 59
60 - 68
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
No. of students
40
22
24
29
48
45
29
9
(iii)
Weight (in kg)
42 - 50
51 - 59
60 - 68
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
No. of students
40
22
29
24
48
45
29
9
(iv)
Weight (in kg)
42 - 50
51 - 59
60 - 68
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
No. of students
40
22
28
29
48
45
29
9
(v)
Weight (in kg)
42 - 50
51 - 59
60 - 68
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
No. of students
40
22
24
29
52
45
29
9
Question
21
21.
Daily wages of 168 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)
272 - 278
278 - 284
284 - 290
290 - 296
296 - 302
302 - 308
No. of labourers
20
32
47
38
5
31
(ii)
Daily wage(in Rs)
272 - 278
278 - 284
284 - 290
290 - 296
296 - 302
302 - 308
No. of labourers
20
32
47
33
5
31
(iii)
Daily wage(in Rs)
272 - 278
278 - 284
284 - 290
290 - 296
296 - 302
302 - 308
No. of labourers
20
47
32
33
5
31
(iv)
Daily wage(in Rs)
272 - 278
278 - 284
284 - 290
290 - 296
296 - 302
302 - 308
No. of labourers
20
32
52
33
5
31
(v)
Daily wage(in Rs)
272 - 278
278 - 284
284 - 290
290 - 296
296 - 302
302 - 308
No. of labourers
20
31
47
33
5
32
Question
22
22.
Daily wages of 99 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)
235 - 240
241 - 246
247 - 252
253 - 258
259 - 264
265 - 270
No. of labourers
34
26
5
5
24
5
(ii)
Daily wage(in Rs)
235 - 240
241 - 246
247 - 252
253 - 258
259 - 264
265 - 270
No. of labourers
34
5
31
5
24
5
(iii)
Daily wage(in Rs)
235 - 240
241 - 246
247 - 252
253 - 258
259 - 264
265 - 270
No. of labourers
34
5
26
5
24
5
(iv)
Daily wage(in Rs)
235 - 240
241 - 246
247 - 252
253 - 258
259 - 264
265 - 270
No. of labourers
34
5
26
8
24
5
Assignment Key
1) (iv)
2) (v)
3) (ii)
4) (v)
5) (v)
6) (ii)
7) (i)
8) (iv)
9) (i)
10) (iii)
11) (iv)
12) (ii)
13) (iv)
14) (iii)
15) (v)
16) (i)
17) (v)
18) (ii)
19) (ii)
20) (ii)
21) (ii)
22) (iii)