EduSahara™ Assignment
Name : Histogram and Frequency Polygon on the same Graph
Chapter : Statistics
Grade : CBSE Grade IX
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
10 - 19
19 - 28
28 - 37
37 - 46
46 - 55
Frequency
15
65
83
70
85
(ii)
Class-Interval
10 - 19
19 - 28
28 - 37
37 - 46
46 - 55
Frequency
15
83
85
70
65
(iii)
Class-Interval
10 - 19
19 - 28
28 - 37
37 - 46
46 - 55
Frequency
15
81
83
70
65
(iv)
Class-Interval
10 - 19
19 - 28
28 - 37
37 - 46
46 - 55
Frequency
15
85
83
70
65
(v)
Class-Interval
10 - 19
19 - 28
28 - 37
37 - 46
46 - 55
Frequency
15
85
79
70
65
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)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
69 - 74
No. of doctors
40
30
41
38
23
15
30
39
(ii)
Age (in years)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
69 - 74
No. of doctors
40
39
38
38
23
15
30
30
(iii)
Age (in years)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
69 - 74
No. of doctors
40
39
41
38
23
15
30
30
(iv)
Age (in years)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
69 - 74
No. of doctors
40
39
41
38
18
15
30
30
(v)
Age (in years)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
69 - 74
No. of doctors
40
39
38
41
23
15
30
30
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)
116 - 121
121 - 126
126 - 131
131 - 136
136 - 141
No. of weeks
6
9
7
6
10
(ii)
Cost of living index (in rupees)
116 - 121
121 - 126
126 - 131
131 - 136
136 - 141
No. of weeks
6
11
9
6
10
(iii)
Cost of living index (in rupees)
116 - 121
121 - 126
126 - 131
131 - 136
136 - 141
No. of weeks
6
7
9
6
10
(iv)
Cost of living index (in rupees)
116 - 121
121 - 126
126 - 131
131 - 136
136 - 141
No. of weeks
6
7
14
6
10
(v)
Cost of living index (in rupees)
116 - 121
121 - 126
126 - 131
131 - 136
136 - 141
No. of weeks
6
10
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
10 - 19
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
Frequency
24
70
71
68
45
84
32
50
(ii)
Class-Interval
10 - 19
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
Frequency
24
70
76
68
45
84
32
50
(iii)
Class-Interval
10 - 19
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
Frequency
24
50
76
68
45
84
32
70
(iv)
Class-Interval
10 - 19
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
Frequency
24
70
76
68
48
84
32
50
(v)
Class-Interval
10 - 19
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
Frequency
24
70
68
76
45
84
32
50
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)
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
77 - 85
No. of doctors
43
43
14
23
16
48
(ii)
Age (in years)
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
77 - 85
No. of doctors
43
14
48
23
16
43
(iii)
Age (in years)
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
77 - 85
No. of doctors
43
48
14
23
16
43
(iv)
Age (in years)
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
77 - 85
No. of doctors
43
48
14
28
16
43
(v)
Age (in years)
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
77 - 85
No. of doctors
43
48
18
23
16
43
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)
174 - 181
182 - 189
190 - 197
198 - 205
206 - 213
214 - 221
No. of weeks
6
9
10
10
5
7
(ii)
Cost of living index (in rupees)
174 - 181
182 - 189
190 - 197
198 - 205
206 - 213
214 - 221
No. of weeks
6
7
10
10
5
9
(iii)
Cost of living index (in rupees)
174 - 181
182 - 189
190 - 197
198 - 205
206 - 213
214 - 221
No. of weeks
6
7
10
6
5
9
(iv)
Cost of living index (in rupees)
174 - 181
182 - 189
190 - 197
198 - 205
206 - 213
214 - 221
No. of weeks
6
10
7
10
5
9
(v)
Cost of living index (in rupees)
174 - 181
182 - 189
190 - 197
198 - 205
206 - 213
214 - 221
No. of weeks
6
7
12
10
5
9
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)
130 - 136
136 - 142
142 - 148
148 - 154
154 - 160
No. of students
10
27
35
13
41
(ii)
Height (in cm)
130 - 136
136 - 142
142 - 148
148 - 154
154 - 160
No. of students
10
23
31
13
41
(iii)
Height (in cm)
130 - 136
136 - 142
142 - 148
148 - 154
154 - 160
No. of students
10
41
31
13
27
(iv)
Height (in cm)
130 - 136
136 - 142
142 - 148
148 - 154
154 - 160
No. of students
10
31
27
13
41
(v)
Height (in cm)
130 - 136
136 - 142
142 - 148
148 - 154
154 - 160
No. of students
10
27
31
13
41
Question
8
8.
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)
127 - 135
136 - 144
145 - 153
154 - 162
163 - 171
No. of students
24
35
6
35
19
(ii)
Height (in cm)
127 - 135
136 - 144
145 - 153
154 - 162
163 - 171
No. of students
24
37
9
35
19
(iii)
Height (in cm)
127 - 135
136 - 144
145 - 153
154 - 162
163 - 171
No. of students
24
19
9
35
35
(iv)
Height (in cm)
127 - 135
136 - 144
145 - 153
154 - 162
163 - 171
No. of students
24
35
9
35
19
(v)
Height (in cm)
127 - 135
136 - 144
145 - 153
154 - 162
163 - 171
No. of students
24
9
35
35
19
Question
9
9.
Heights of 172 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)
53 - 61
61 - 69
69 - 77
77 - 85
85 - 93
93 - 101
No. of plants
19
28
33
17
48
27
(ii)
Height (in cm)
53 - 61
61 - 69
69 - 77
77 - 85
85 - 93
93 - 101
No. of plants
19
27
33
17
48
28
(iii)
Height (in cm)
53 - 61
61 - 69
69 - 77
77 - 85
85 - 93
93 - 101
No. of plants
19
33
28
17
48
27
(iv)
Height (in cm)
53 - 61
61 - 69
69 - 77
77 - 85
85 - 93
93 - 101
No. of plants
19
28
33
14
48
27
(v)
Height (in cm)
53 - 61
61 - 69
69 - 77
77 - 85
85 - 93
93 - 101
No. of plants
19
28
28
17
48
27
Question
10
10.
Heights of 157 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)
64 - 74
75 - 85
86 - 96
97 - 107
108 - 118
No. of plants
49
6
34
43
25
(ii)
Height (in cm)
64 - 74
75 - 85
86 - 96
97 - 107
108 - 118
No. of plants
49
25
29
43
6
(iii)
Height (in cm)
64 - 74
75 - 85
86 - 96
97 - 107
108 - 118
No. of plants
49
25
34
43
6
(iv)
Height (in cm)
64 - 74
75 - 85
86 - 96
97 - 107
108 - 118
No. of plants
49
30
34
43
6
(v)
Height (in cm)
64 - 74
75 - 85
86 - 96
97 - 107
108 - 118
No. of plants
49
34
25
43
6
Question
11
11.
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)
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
No. of students
45
49
30
6
15
47
(ii)
Age (in years)
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
No. of students
45
49
32
3
15
47
(iii)
Age (in years)
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
No. of students
45
49
32
6
15
47
(iv)
Age (in years)
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
No. of students
45
32
49
6
15
47
(v)
Age (in years)
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
No. of students
45
47
32
6
15
49
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)
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
No. of students
37
6
43
35
14
41
34
(ii)
Age (in years)
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
No. of students
37
6
48
35
14
41
34
(iii)
Age (in years)
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
No. of students
37
34
43
35
14
41
6
(iv)
Age (in years)
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
No. of students
37
6
43
40
14
41
34
(v)
Age (in years)
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
No. of students
37
43
6
35
14
41
34
Question
13
13.
Scores of 276 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
74 - 82
82 - 90
90 - 98
98 - 106
106 - 114
114 - 122
122 - 130
No. of students
27
50
42
41
40
36
40
(ii)
Score
74 - 82
82 - 90
90 - 98
98 - 106
106 - 114
114 - 122
122 - 130
No. of students
27
40
42
41
40
36
50
(iii)
Score
74 - 82
82 - 90
90 - 98
98 - 106
106 - 114
114 - 122
122 - 130
No. of students
27
42
50
41
40
36
40
(iv)
Score
74 - 82
82 - 90
90 - 98
98 - 106
106 - 114
114 - 122
122 - 130
No. of students
27
50
42
36
40
36
40
(v)
Score
74 - 82
82 - 90
90 - 98
98 - 106
106 - 114
114 - 122
122 - 130
No. of students
27
50
38
41
40
36
40
Question
14
14.
Scores of 200 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
86 - 95
96 - 105
106 - 115
116 - 125
126 - 135
136 - 145
146 - 155
156 - 165
No. of students
31
12
10
49
25
19
23
31
(ii)
Score
86 - 95
96 - 105
106 - 115
116 - 125
126 - 135
136 - 145
146 - 155
156 - 165
No. of students
31
31
10
49
20
19
23
12
(iii)
Score
86 - 95
96 - 105
106 - 115
116 - 125
126 - 135
136 - 145
146 - 155
156 - 165
No. of students
31
31
10
49
25
19
23
12
(iv)
Score
86 - 95
96 - 105
106 - 115
116 - 125
126 - 135
136 - 145
146 - 155
156 - 165
No. of students
31
31
49
10
25
19
23
12
(v)
Score
86 - 95
96 - 105
106 - 115
116 - 125
126 - 135
136 - 145
146 - 155
156 - 165
No. of students
31
31
14
49
25
19
23
12
Question
15
15.
Rainfall of 152 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)
11 - 18
18 - 25
25 - 32
32 - 39
39 - 46
No. of days
50
25
26
9
42
(ii)
Rainfall (in mm)
11 - 18
18 - 25
25 - 32
32 - 39
39 - 46
No. of days
50
42
25
9
26
(iii)
Rainfall (in mm)
11 - 18
18 - 25
25 - 32
32 - 39
39 - 46
No. of days
50
28
25
9
42
(iv)
Rainfall (in mm)
11 - 18
18 - 25
25 - 32
32 - 39
39 - 46
No. of days
50
26
25
9
42
(v)
Rainfall (in mm)
11 - 18
18 - 25
25 - 32
32 - 39
39 - 46
No. of days
50
26
22
9
42
Question
16
16.
Rainfall of 246 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
66 - 74
75 - 83
No. of days
19
46
15
26
35
35
46
29
(ii)
Rainfall (in mm)
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
57 - 65
66 - 74
75 - 83
No. of days
19
46
26
15
30
35
46
29
(iii)
Rainfall (in mm)
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
57 - 65
66 - 74
75 - 83
No. of days
19
46
17
26
30
35
46
29
(iv)
Rainfall (in mm)
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
57 - 65
66 - 74
75 - 83
No. of days
19
46
15
26
30
35
46
29
(v)
Rainfall (in mm)
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
57 - 65
66 - 74
75 - 83
No. of days
19
29
15
26
30
35
46
46
Question
17
17.
Temperatures of 152 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 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
91 - 99
No. of days
7
10
7
26
44
15
6
37
(ii)
Temperature (in degree)
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
91 - 99
No. of days
7
10
26
7
44
15
6
37
(iii)
Temperature (in degree)
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
91 - 99
No. of days
7
37
7
26
44
15
6
10
(iv)
Temperature (in degree)
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
91 - 99
No. of days
7
10
7
26
47
15
6
37
(v)
Temperature (in degree)
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
91 - 99
No. of days
7
10
12
26
44
15
6
37
Question
18
18.
Temperatures of 198 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
38 - 47
48 - 57
58 - 67
68 - 77
78 - 87
No. of days
25
44
36
40
9
44
(ii)
Temperature (in degree)
28 - 37
38 - 47
48 - 57
58 - 67
68 - 77
78 - 87
No. of days
25
36
44
40
9
44
(iii)
Temperature (in degree)
28 - 37
38 - 47
48 - 57
58 - 67
68 - 77
78 - 87
No. of days
25
44
39
40
9
44
(iv)
Temperature (in degree)
28 - 37
38 - 47
48 - 57
58 - 67
68 - 77
78 - 87
No. of days
25
44
36
43
9
44
Question
19
19.
Weights of 111 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 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
No. of students
9
32
24
19
19
13
(ii)
Weight (in kg)
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
No. of students
9
19
32
19
19
13
(iii)
Weight (in kg)
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
No. of students
9
32
19
19
19
13
(iv)
Weight (in kg)
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
No. of students
9
13
19
19
19
32
(v)
Weight (in kg)
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
No. of students
9
32
19
16
19
13
Question
20
20.
Weights of 194 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 - 51
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
No. of students
46
43
44
32
22
7
(ii)
Weight (in kg)
42 - 51
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
No. of students
46
43
44
37
22
7
(iii)
Weight (in kg)
42 - 51
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
No. of students
46
7
44
32
22
43
(iv)
Weight (in kg)
42 - 51
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
No. of students
46
43
48
32
22
7
(v)
Weight (in kg)
42 - 51
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
No. of students
46
44
43
32
22
7
Question
21
21.
Daily wages of 134 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)
210 - 218
218 - 226
226 - 234
234 - 242
242 - 250
250 - 258
258 - 266
No. of labourers
15
27
30
8
5
38
11
(ii)
Daily wage(in Rs)
210 - 218
218 - 226
226 - 234
234 - 242
242 - 250
250 - 258
258 - 266
No. of labourers
15
27
30
5
5
38
11
(iii)
Daily wage(in Rs)
210 - 218
218 - 226
226 - 234
234 - 242
242 - 250
250 - 258
258 - 266
No. of labourers
15
30
27
8
5
38
11
(iv)
Daily wage(in Rs)
210 - 218
218 - 226
226 - 234
234 - 242
242 - 250
250 - 258
258 - 266
No. of labourers
15
11
30
8
5
38
27
(v)
Daily wage(in Rs)
210 - 218
218 - 226
226 - 234
234 - 242
242 - 250
250 - 258
258 - 266
No. of labourers
15
27
35
8
5
38
11
Question
22
22.
Daily wages of 236 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)
239 - 245
246 - 252
253 - 259
260 - 266
267 - 273
274 - 280
281 - 287
No. of labourers
44
41
13
15
42
37
47
(ii)
Daily wage(in Rs)
239 - 245
246 - 252
253 - 259
260 - 266
267 - 273
274 - 280
281 - 287
No. of labourers
44
41
10
20
42
37
47
(iii)
Daily wage(in Rs)
239 - 245
246 - 252
253 - 259
260 - 266
267 - 273
274 - 280
281 - 287
No. of labourers
44
47
10
15
42
37
41
(iv)
Daily wage(in Rs)
239 - 245
246 - 252
253 - 259
260 - 266
267 - 273
274 - 280
281 - 287
No. of labourers
44
41
10
15
42
37
47
(v)
Daily wage(in Rs)
239 - 245
246 - 252
253 - 259
260 - 266
267 - 273
274 - 280
281 - 287
No. of labourers
44
10
41
15
42
37
47
Assignment Key
1) (iv)
2) (iii)
3) (iii)
4) (ii)
5) (iii)
6) (ii)
7) (v)
8) (iv)
9) (i)
10) (iii)
11) (iii)
12) (i)
13) (i)
14) (iii)
15) (iv)
16) (iv)
17) (i)
18) (i)
19) (iii)
20) (i)
21) (i)
22) (iv)
