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
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
Frequency
31
12
52
77
16
(ii)
Class-Interval
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
Frequency
31
52
12
77
16
(iii)
Class-Interval
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
Frequency
31
16
52
77
12
(iv)
Class-Interval
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
Frequency
31
12
49
77
16
(v)
Class-Interval
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
Frequency
31
8
52
77
16
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 - 37
37 - 46
46 - 55
55 - 64
64 - 73
No. of doctors
15
23
30
49
49
(ii)
Age (in years)
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
No. of doctors
15
49
23
49
30
(iii)
Age (in years)
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
No. of doctors
15
30
28
49
49
(iv)
Age (in years)
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
No. of doctors
15
30
23
49
49
(v)
Age (in years)
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
No. of doctors
15
25
23
49
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)
122 - 129
129 - 136
136 - 143
143 - 150
150 - 157
No. of weeks
6
9
10
6
7
(ii)
Cost of living index (in rupees)
122 - 129
129 - 136
136 - 143
143 - 150
150 - 157
No. of weeks
6
4
8
6
7
(iii)
Cost of living index (in rupees)
122 - 129
129 - 136
136 - 143
143 - 150
150 - 157
No. of weeks
6
7
8
6
9
(iv)
Cost of living index (in rupees)
122 - 129
129 - 136
136 - 143
143 - 150
150 - 157
No. of weeks
6
9
8
6
7
(v)
Cost of living index (in rupees)
122 - 129
129 - 136
136 - 143
143 - 150
150 - 157
No. of weeks
6
8
9
6
7
Question
4
4.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
33 - 43
44 - 54
55 - 65
66 - 76
77 - 87
88 - 98
99 - 109
Frequency
51
29
22
77
75
22
65
(ii)
Class-Interval
33 - 43
44 - 54
55 - 65
66 - 76
77 - 87
88 - 98
99 - 109
Frequency
51
29
22
73
75
22
65
(iii)
Class-Interval
33 - 43
44 - 54
55 - 65
66 - 76
77 - 87
88 - 98
99 - 109
Frequency
51
65
22
73
75
22
29
(iv)
Class-Interval
33 - 43
44 - 54
55 - 65
66 - 76
77 - 87
88 - 98
99 - 109
Frequency
51
29
27
73
75
22
65
(v)
Class-Interval
33 - 43
44 - 54
55 - 65
66 - 76
77 - 87
88 - 98
99 - 109
Frequency
51
22
29
73
75
22
65
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)
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
71 - 78
No. of doctors
29
29
45
11
12
31
(ii)
Age (in years)
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
71 - 78
No. of doctors
29
31
50
11
12
29
(iii)
Age (in years)
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
71 - 78
No. of doctors
29
31
45
11
12
29
(iv)
Age (in years)
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
71 - 78
No. of doctors
29
45
31
11
12
29
(v)
Age (in years)
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
71 - 78
No. of doctors
29
31
45
16
12
29
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)
181 - 188
189 - 196
197 - 204
205 - 212
213 - 220
221 - 228
No. of weeks
7
6
8
9
8
7
(ii)
Cost of living index (in rupees)
181 - 188
189 - 196
197 - 204
205 - 212
213 - 220
221 - 228
No. of weeks
7
7
6
9
8
6
(iii)
Cost of living index (in rupees)
181 - 188
189 - 196
197 - 204
205 - 212
213 - 220
221 - 228
No. of weeks
7
6
6
9
8
7
(iv)
Cost of living index (in rupees)
181 - 188
189 - 196
197 - 204
205 - 212
213 - 220
221 - 228
No. of weeks
7
6
6
12
8
7
Question
7
7.
Heights of 122 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
131 - 139
139 - 147
147 - 155
155 - 163
No. of students
26
29
40
9
16
(ii)
Height (in cm)
123 - 131
131 - 139
139 - 147
147 - 155
155 - 163
No. of students
26
16
40
9
31
(iii)
Height (in cm)
123 - 131
131 - 139
139 - 147
147 - 155
155 - 163
No. of students
26
31
40
9
16
(iv)
Height (in cm)
123 - 131
131 - 139
139 - 147
147 - 155
155 - 163
No. of students
26
31
36
9
16
(v)
Height (in cm)
123 - 131
131 - 139
139 - 147
147 - 155
155 - 163
No. of students
26
40
31
9
16
Question
8
8.
Heights of 173 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)
126 - 134
135 - 143
144 - 152
153 - 161
162 - 170
No. of students
45
35
13
36
47
(ii)
Height (in cm)
126 - 134
135 - 143
144 - 152
153 - 161
162 - 170
No. of students
45
13
32
36
47
(iii)
Height (in cm)
126 - 134
135 - 143
144 - 152
153 - 161
162 - 170
No. of students
45
47
13
36
32
(iv)
Height (in cm)
126 - 134
135 - 143
144 - 152
153 - 161
162 - 170
No. of students
45
32
15
36
47
(v)
Height (in cm)
126 - 134
135 - 143
144 - 152
153 - 161
162 - 170
No. of students
45
32
13
36
47
Question
9
9.
Heights of 206 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)
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
82 - 88
88 - 94
No. of plants
39
15
20
29
17
39
47
(ii)
Height (in cm)
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
82 - 88
88 - 94
No. of plants
39
20
18
29
17
39
47
(iii)
Height (in cm)
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
82 - 88
88 - 94
No. of plants
39
20
15
31
17
39
47
(iv)
Height (in cm)
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
82 - 88
88 - 94
No. of plants
39
47
15
29
17
39
20
(v)
Height (in cm)
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
82 - 88
88 - 94
No. of plants
39
20
15
29
17
39
47
Question
10
10.
Heights of 144 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
65 - 72
73 - 80
81 - 88
89 - 96
No. of plants
42
16
50
35
6
(ii)
Height (in cm)
57 - 64
65 - 72
73 - 80
81 - 88
89 - 96
No. of plants
42
6
45
35
16
(iii)
Height (in cm)
57 - 64
65 - 72
73 - 80
81 - 88
89 - 96
No. of plants
42
20
45
35
6
(iv)
Height (in cm)
57 - 64
65 - 72
73 - 80
81 - 88
89 - 96
No. of plants
42
45
16
35
6
(v)
Height (in cm)
57 - 64
65 - 72
73 - 80
81 - 88
89 - 96
No. of plants
42
16
45
35
6
Question
11
11.
Ages of 151 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 - 28
28 - 38
38 - 48
48 - 58
58 - 68
68 - 78
78 - 88
No. of students
17
36
10
11
39
24
9
(ii)
Age (in years)
18 - 28
28 - 38
38 - 48
48 - 58
58 - 68
68 - 78
78 - 88
No. of students
17
9
10
16
39
24
36
(iii)
Age (in years)
18 - 28
28 - 38
38 - 48
48 - 58
58 - 68
68 - 78
78 - 88
No. of students
17
36
10
16
39
24
9
(iv)
Age (in years)
18 - 28
28 - 38
38 - 48
48 - 58
58 - 68
68 - 78
78 - 88
No. of students
17
36
12
16
39
24
9
(v)
Age (in years)
18 - 28
28 - 38
38 - 48
48 - 58
58 - 68
68 - 78
78 - 88
No. of students
17
10
36
16
39
24
9
Question
12
12.
Ages of 210 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 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
No. of students
6
27
26
23
39
5
30
49
(ii)
Age (in years)
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
No. of students
6
27
31
23
39
5
30
49
(iii)
Age (in years)
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
No. of students
6
27
23
31
39
5
30
49
(iv)
Age (in years)
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
No. of students
6
27
31
23
37
5
30
49
(v)
Age (in years)
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
No. of students
6
49
31
23
39
5
30
27
Question
13
13.
Scores of 97 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
76 - 82
82 - 88
88 - 94
94 - 100
100 - 106
No. of students
45
7
12
8
25
(ii)
Score
76 - 82
82 - 88
88 - 94
94 - 100
100 - 106
No. of students
45
12
4
8
25
(iii)
Score
76 - 82
82 - 88
88 - 94
94 - 100
100 - 106
No. of students
45
12
7
8
25
(iv)
Score
76 - 82
82 - 88
88 - 94
94 - 100
100 - 106
No. of students
45
9
7
8
25
(v)
Score
76 - 82
82 - 88
88 - 94
94 - 100
100 - 106
No. of students
45
25
7
8
12
Question
14
14.
Scores of 170 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
73 - 80
81 - 88
89 - 96
97 - 104
105 - 112
No. of students
36
48
34
44
8
(ii)
Score
73 - 80
81 - 88
89 - 96
97 - 104
105 - 112
No. of students
36
34
53
44
8
(iii)
Score
73 - 80
81 - 88
89 - 96
97 - 104
105 - 112
No. of students
36
34
48
44
8
(iv)
Score
73 - 80
81 - 88
89 - 96
97 - 104
105 - 112
No. of students
36
8
48
44
34
(v)
Score
73 - 80
81 - 88
89 - 96
97 - 104
105 - 112
No. of students
36
38
48
44
8
Question
15
15.
Rainfall of 243 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 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
No. of days
42
37
10
34
23
43
50
6
(ii)
Rainfall (in mm)
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
No. of days
42
37
34
10
21
43
50
6
(iii)
Rainfall (in mm)
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
No. of days
42
37
10
34
21
43
50
6
(iv)
Rainfall (in mm)
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
No. of days
42
6
10
34
21
43
50
37
(v)
Rainfall (in mm)
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
No. of days
42
37
8
34
21
43
50
6
Question
16
16.
Rainfall of 225 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 - 14
15 - 23
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
No. of days
21
26
44
47
42
20
25
(ii)
Rainfall (in mm)
6 - 14
15 - 23
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
No. of days
21
44
26
47
42
20
25
(iii)
Rainfall (in mm)
6 - 14
15 - 23
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
No. of days
21
26
47
47
42
20
25
(iv)
Rainfall (in mm)
6 - 14
15 - 23
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
No. of days
21
25
44
47
42
20
26
(v)
Rainfall (in mm)
6 - 14
15 - 23
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
No. of days
21
26
44
50
42
20
25
Question
17
17.
Temperatures of 182 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)
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
No. of days
49
20
24
10
27
16
36
(ii)
Temperature (in degree)
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
No. of days
49
24
20
10
27
16
36
(iii)
Temperature (in degree)
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
No. of days
49
20
24
13
27
16
36
(iv)
Temperature (in degree)
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
No. of days
49
20
28
10
27
16
36
(v)
Temperature (in degree)
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
No. of days
49
36
24
10
27
16
20
Question
18
18.
Temperatures of 115 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)
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of days
20
46
32
11
8
(ii)
Temperature (in degree)
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of days
20
44
29
11
8
(iii)
Temperature (in degree)
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of days
20
44
32
11
8
(iv)
Temperature (in degree)
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of days
20
32
44
11
8
(v)
Temperature (in degree)
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of days
20
8
32
11
44
Question
19
19.
Weights of 214 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 - 58
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
98 - 106
106 - 114
No. of students
18
50
47
30
14
43
6
6
(ii)
Weight (in kg)
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
98 - 106
106 - 114
No. of students
18
6
47
30
14
43
6
50
(iii)
Weight (in kg)
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
98 - 106
106 - 114
No. of students
18
50
50
30
14
43
6
6
(iv)
Weight (in kg)
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
98 - 106
106 - 114
No. of students
18
50
30
47
14
43
6
6
(v)
Weight (in kg)
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
98 - 106
106 - 114
No. of students
18
50
47
30
12
43
6
6
Question
20
20.
Weights of 117 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)
53 - 61
62 - 70
71 - 79
80 - 88
89 - 97
No. of students
25
29
17
7
39
(ii)
Weight (in kg)
53 - 61
62 - 70
71 - 79
80 - 88
89 - 97
No. of students
25
39
15
7
29
(iii)
Weight (in kg)
53 - 61
62 - 70
71 - 79
80 - 88
89 - 97
No. of students
25
37
17
7
29
(iv)
Weight (in kg)
53 - 61
62 - 70
71 - 79
80 - 88
89 - 97
No. of students
25
17
39
7
29
(v)
Weight (in kg)
53 - 61
62 - 70
71 - 79
80 - 88
89 - 97
No. of students
25
39
17
7
29
Question
21
21.
Daily wages of 163 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)
242 - 249
249 - 256
256 - 263
263 - 270
270 - 277
277 - 284
284 - 291
291 - 298
No. of labourers
26
34
14
19
16
15
27
15
(ii)
Daily wage(in Rs)
242 - 249
249 - 256
256 - 263
263 - 270
270 - 277
277 - 284
284 - 291
291 - 298
No. of labourers
26
15
11
19
16
15
27
34
(iii)
Daily wage(in Rs)
242 - 249
249 - 256
256 - 263
263 - 270
270 - 277
277 - 284
284 - 291
291 - 298
No. of labourers
26
34
11
19
11
15
27
15
(iv)
Daily wage(in Rs)
242 - 249
249 - 256
256 - 263
263 - 270
270 - 277
277 - 284
284 - 291
291 - 298
No. of labourers
26
34
11
19
16
15
27
15
(v)
Daily wage(in Rs)
242 - 249
249 - 256
256 - 263
263 - 270
270 - 277
277 - 284
284 - 291
291 - 298
No. of labourers
26
34
19
11
16
15
27
15
Question
22
22.
Daily wages of 131 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 - 294
295 - 302
303 - 310
311 - 318
319 - 326
327 - 334
No. of labourers
45
22
23
17
8
13
(ii)
Daily wage(in Rs)
287 - 294
295 - 302
303 - 310
311 - 318
319 - 326
327 - 334
No. of labourers
45
22
26
17
8
13
(iii)
Daily wage(in Rs)
287 - 294
295 - 302
303 - 310
311 - 318
319 - 326
327 - 334
No. of labourers
45
22
26
12
8
13
(iv)
Daily wage(in Rs)
287 - 294
295 - 302
303 - 310
311 - 318
319 - 326
327 - 334
No. of labourers
45
26
22
17
8
13
(v)
Daily wage(in Rs)
287 - 294
295 - 302
303 - 310
311 - 318
319 - 326
327 - 334
No. of labourers
45
13
26
17
8
22
Assignment Key
1) (i)
2) (iv)
3) (iv)
4) (ii)
5) (iii)
6) (iii)
7) (iii)
8) (v)
9) (v)
10) (v)
11) (iii)
12) (ii)
13) (iii)
14) (iii)
15) (iii)
16) (i)
17) (i)
18) (iii)
19) (i)
20) (v)
21) (iv)
22) (ii)