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
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
Frequency
19
38
82
30
60
25
(ii)
Class-Interval
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
Frequency
19
25
82
30
60
38
(iii)
Class-Interval
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
Frequency
19
38
78
30
60
25
(iv)
Class-Interval
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
Frequency
19
82
38
30
60
25
(v)
Class-Interval
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
Frequency
19
38
82
26
60
25
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)
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
No. of doctors
19
39
26
14
13
24
31
(ii)
Age (in years)
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
No. of doctors
19
26
39
17
13
24
31
(iii)
Age (in years)
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
No. of doctors
19
31
26
17
13
24
39
(iv)
Age (in years)
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
No. of doctors
19
39
26
17
13
24
31
(v)
Age (in years)
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
No. of doctors
19
39
31
17
13
24
31
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)
108 - 117
117 - 126
126 - 135
135 - 144
144 - 153
153 - 162
No. of weeks
8
8
6
9
5
7
(ii)
Cost of living index (in rupees)
108 - 117
117 - 126
126 - 135
135 - 144
144 - 153
153 - 162
No. of weeks
8
8
6
13
5
7
(iii)
Cost of living index (in rupees)
108 - 117
117 - 126
126 - 135
135 - 144
144 - 153
153 - 162
No. of weeks
8
8
2
9
5
7
(iv)
Cost of living index (in rupees)
108 - 117
117 - 126
126 - 135
135 - 144
144 - 153
153 - 162
No. of weeks
8
6
8
9
5
7
(v)
Cost of living index (in rupees)
108 - 117
117 - 126
126 - 135
135 - 144
144 - 153
153 - 162
No. of weeks
8
7
6
9
5
8
Question
4
4.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
39 - 44
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
Frequency
29
85
73
20
41
82
(ii)
Class-Interval
39 - 44
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
Frequency
29
85
78
20
41
82
(iii)
Class-Interval
39 - 44
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
Frequency
29
85
78
25
41
82
(iv)
Class-Interval
39 - 44
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
Frequency
29
82
78
20
41
85
(v)
Class-Interval
39 - 44
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
Frequency
29
78
85
20
41
82
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)
25 - 32
33 - 40
41 - 48
49 - 56
57 - 64
65 - 72
73 - 80
No. of doctors
24
13
47
22
43
45
43
(ii)
Age (in years)
25 - 32
33 - 40
41 - 48
49 - 56
57 - 64
65 - 72
73 - 80
No. of doctors
24
47
17
22
43
45
43
(iii)
Age (in years)
25 - 32
33 - 40
41 - 48
49 - 56
57 - 64
65 - 72
73 - 80
No. of doctors
24
47
13
20
43
45
43
(iv)
Age (in years)
25 - 32
33 - 40
41 - 48
49 - 56
57 - 64
65 - 72
73 - 80
No. of doctors
24
43
13
22
43
45
47
(v)
Age (in years)
25 - 32
33 - 40
41 - 48
49 - 56
57 - 64
65 - 72
73 - 80
No. of doctors
24
47
13
22
43
45
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)
162 - 170
171 - 179
180 - 188
189 - 197
198 - 206
207 - 215
No. of weeks
5
9
5
1
6
7
(ii)
Cost of living index (in rupees)
162 - 170
171 - 179
180 - 188
189 - 197
198 - 206
207 - 215
No. of weeks
5
5
9
5
6
7
(iii)
Cost of living index (in rupees)
162 - 170
171 - 179
180 - 188
189 - 197
198 - 206
207 - 215
No. of weeks
5
7
5
5
6
9
(iv)
Cost of living index (in rupees)
162 - 170
171 - 179
180 - 188
189 - 197
198 - 206
207 - 215
No. of weeks
5
9
7
5
6
7
(v)
Cost of living index (in rupees)
162 - 170
171 - 179
180 - 188
189 - 197
198 - 206
207 - 215
No. of weeks
5
9
5
5
6
7
Question
7
7.
Heights of 190 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 - 133
133 - 139
139 - 145
145 - 151
151 - 157
157 - 163
163 - 169
No. of students
49
17
26
26
46
13
13
(ii)
Height (in cm)
127 - 133
133 - 139
139 - 145
145 - 151
151 - 157
157 - 163
163 - 169
No. of students
49
13
21
26
46
13
17
(iii)
Height (in cm)
127 - 133
133 - 139
139 - 145
145 - 151
151 - 157
157 - 163
163 - 169
No. of students
49
13
26
26
46
13
17
(iv)
Height (in cm)
127 - 133
133 - 139
139 - 145
145 - 151
151 - 157
157 - 163
163 - 169
No. of students
49
13
26
31
46
13
17
(v)
Height (in cm)
127 - 133
133 - 139
139 - 145
145 - 151
151 - 157
157 - 163
163 - 169
No. of students
49
26
13
26
46
13
17
Question
8
8.
Heights of 215 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 - 135
136 - 141
142 - 147
148 - 153
154 - 159
160 - 165
166 - 171
172 - 177
No. of students
28
26
4
41
27
27
41
17
(ii)
Height (in cm)
130 - 135
136 - 141
142 - 147
148 - 153
154 - 159
160 - 165
166 - 171
172 - 177
No. of students
28
26
8
41
25
27
41
17
(iii)
Height (in cm)
130 - 135
136 - 141
142 - 147
148 - 153
154 - 159
160 - 165
166 - 171
172 - 177
No. of students
28
17
8
41
27
27
41
26
(iv)
Height (in cm)
130 - 135
136 - 141
142 - 147
148 - 153
154 - 159
160 - 165
166 - 171
172 - 177
No. of students
28
26
8
41
27
27
41
17
(v)
Height (in cm)
130 - 135
136 - 141
142 - 147
148 - 153
154 - 159
160 - 165
166 - 171
172 - 177
No. of students
28
26
41
8
27
27
41
17
Question
9
9.
Heights of 252 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 - 67
67 - 74
74 - 81
81 - 88
88 - 95
95 - 102
102 - 109
No. of plants
40
7
43
50
38
41
33
(ii)
Height (in cm)
60 - 67
67 - 74
74 - 81
81 - 88
88 - 95
95 - 102
102 - 109
No. of plants
40
33
43
55
38
41
7
(iii)
Height (in cm)
60 - 67
67 - 74
74 - 81
81 - 88
88 - 95
95 - 102
102 - 109
No. of plants
40
33
43
50
38
41
7
(iv)
Height (in cm)
60 - 67
67 - 74
74 - 81
81 - 88
88 - 95
95 - 102
102 - 109
No. of plants
40
43
33
50
38
41
7
(v)
Height (in cm)
60 - 67
67 - 74
74 - 81
81 - 88
88 - 95
95 - 102
102 - 109
No. of plants
40
33
38
50
38
41
7
Question
10
10.
Heights of 162 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)
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
No. of plants
11
13
6
34
10
42
48
(ii)
Height (in cm)
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
No. of plants
11
6
13
32
10
42
48
(iii)
Height (in cm)
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
No. of plants
11
13
6
32
10
42
48
(iv)
Height (in cm)
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
No. of plants
11
48
6
32
10
42
13
(v)
Height (in cm)
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
No. of plants
11
13
3
32
10
42
48
Question
11
11.
Ages of 244 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 - 21
21 - 30
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
No. of students
38
33
36
20
20
36
47
9
(ii)
Age (in years)
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
No. of students
38
33
38
20
25
36
47
9
(iii)
Age (in years)
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
No. of students
38
33
36
20
25
36
47
9
(iv)
Age (in years)
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
No. of students
38
33
20
36
25
36
47
9
(v)
Age (in years)
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
No. of students
38
9
36
20
25
36
47
33
Question
12
12.
Ages of 123 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)
15 - 22
23 - 30
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
No. of students
12
39
10
18
21
11
12
(ii)
Age (in years)
15 - 22
23 - 30
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
No. of students
12
12
10
16
21
11
39
(iii)
Age (in years)
15 - 22
23 - 30
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
No. of students
12
12
10
18
21
11
39
(iv)
Age (in years)
15 - 22
23 - 30
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
No. of students
12
10
12
18
21
11
39
(v)
Age (in years)
15 - 22
23 - 30
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
No. of students
12
12
8
18
21
11
39
Question
13
13.
Scores of 178 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
70 - 76
76 - 82
82 - 88
88 - 94
94 - 100
No. of students
41
42
16
33
46
(ii)
Score
70 - 76
76 - 82
82 - 88
88 - 94
94 - 100
No. of students
41
16
46
33
42
(iii)
Score
70 - 76
76 - 82
82 - 88
88 - 94
94 - 100
No. of students
41
46
19
33
42
(iv)
Score
70 - 76
76 - 82
82 - 88
88 - 94
94 - 100
No. of students
41
44
16
33
42
(v)
Score
70 - 76
76 - 82
82 - 88
88 - 94
94 - 100
No. of students
41
46
16
33
42
Question
14
14.
Scores of 239 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
81 - 91
92 - 102
103 - 113
114 - 124
125 - 135
136 - 146
147 - 157
No. of students
49
11
39
48
45
12
35
(ii)
Score
81 - 91
92 - 102
103 - 113
114 - 124
125 - 135
136 - 146
147 - 157
No. of students
49
35
39
48
45
12
11
(iii)
Score
81 - 91
92 - 102
103 - 113
114 - 124
125 - 135
136 - 146
147 - 157
No. of students
49
35
39
50
45
12
11
(iv)
Score
81 - 91
92 - 102
103 - 113
114 - 124
125 - 135
136 - 146
147 - 157
No. of students
49
39
35
48
45
12
11
(v)
Score
81 - 91
92 - 102
103 - 113
114 - 124
125 - 135
136 - 146
147 - 157
No. of students
49
35
42
48
45
12
11
Question
15
15.
Rainfall of 251 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)
15 - 23
23 - 31
31 - 39
39 - 47
47 - 55
55 - 63
63 - 71
71 - 79
No. of days
28
33
25
44
19
46
35
26
(ii)
Rainfall (in mm)
15 - 23
23 - 31
31 - 39
39 - 47
47 - 55
55 - 63
63 - 71
71 - 79
No. of days
28
33
20
44
19
46
35
26
(iii)
Rainfall (in mm)
15 - 23
23 - 31
31 - 39
39 - 47
47 - 55
55 - 63
63 - 71
71 - 79
No. of days
28
33
44
20
19
46
35
26
(iv)
Rainfall (in mm)
15 - 23
23 - 31
31 - 39
39 - 47
47 - 55
55 - 63
63 - 71
71 - 79
No. of days
28
26
20
44
19
46
35
33
(v)
Rainfall (in mm)
15 - 23
23 - 31
31 - 39
39 - 47
47 - 55
55 - 63
63 - 71
71 - 79
No. of days
28
33
20
44
15
46
35
26
Question
16
16.
Rainfall of 175 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)
15 - 21
22 - 28
29 - 35
36 - 42
43 - 49
No. of days
18
35
38
43
39
(ii)
Rainfall (in mm)
15 - 21
22 - 28
29 - 35
36 - 42
43 - 49
No. of days
18
37
43
43
39
(iii)
Rainfall (in mm)
15 - 21
22 - 28
29 - 35
36 - 42
43 - 49
No. of days
18
38
37
43
39
(iv)
Rainfall (in mm)
15 - 21
22 - 28
29 - 35
36 - 42
43 - 49
No. of days
18
39
38
43
37
(v)
Rainfall (in mm)
15 - 21
22 - 28
29 - 35
36 - 42
43 - 49
No. of days
18
37
38
43
39
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)
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
73 - 81
No. of days
33
31
42
41
7
17
12
(ii)
Temperature (in degree)
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
73 - 81
No. of days
33
42
31
41
7
17
12
(iii)
Temperature (in degree)
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
73 - 81
No. of days
33
12
42
41
7
17
31
(iv)
Temperature (in degree)
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
73 - 81
No. of days
33
31
42
38
7
17
12
(v)
Temperature (in degree)
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
73 - 81
No. of days
33
31
44
41
7
17
12
Question
18
18.
Temperatures of 237 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 - 35
36 - 46
47 - 57
58 - 68
69 - 79
80 - 90
91 - 101
102 - 112
No. of days
8
27
45
16
46
24
29
42
(ii)
Temperature (in degree)
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
80 - 90
91 - 101
102 - 112
No. of days
8
42
49
16
46
24
29
27
(iii)
Temperature (in degree)
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
80 - 90
91 - 101
102 - 112
No. of days
8
42
45
16
46
24
29
27
(iv)
Temperature (in degree)
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
80 - 90
91 - 101
102 - 112
No. of days
8
42
45
16
43
24
29
27
(v)
Temperature (in degree)
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
80 - 90
91 - 101
102 - 112
No. of days
8
42
16
45
46
24
29
27
Question
19
19.
Weights of 203 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
61 - 69
69 - 77
77 - 85
85 - 93
93 - 101
101 - 109
No. of students
25
13
30
49
41
5
40
(ii)
Weight (in kg)
53 - 61
61 - 69
69 - 77
77 - 85
85 - 93
93 - 101
101 - 109
No. of students
25
13
35
49
41
5
40
(iii)
Weight (in kg)
53 - 61
61 - 69
69 - 77
77 - 85
85 - 93
93 - 101
101 - 109
No. of students
25
40
30
49
41
5
13
(iv)
Weight (in kg)
53 - 61
61 - 69
69 - 77
77 - 85
85 - 93
93 - 101
101 - 109
No. of students
25
13
30
52
41
5
40
(v)
Weight (in kg)
53 - 61
61 - 69
69 - 77
77 - 85
85 - 93
93 - 101
101 - 109
No. of students
25
30
13
49
41
5
40
Question
20
20.
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)
42 - 51
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
102 - 111
No. of students
21
17
40
40
30
43
25
(ii)
Weight (in kg)
42 - 51
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
102 - 111
No. of students
21
40
17
40
30
43
25
(iii)
Weight (in kg)
42 - 51
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
102 - 111
No. of students
21
17
40
36
30
43
25
(iv)
Weight (in kg)
42 - 51
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
102 - 111
No. of students
21
17
36
40
30
43
25
(v)
Weight (in kg)
42 - 51
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
102 - 111
No. of students
21
25
40
40
30
43
17
Question
21
21.
Daily wages of 232 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)
268 - 276
276 - 284
284 - 292
292 - 300
300 - 308
308 - 316
316 - 324
No. of labourers
43
43
37
42
29
12
21
(ii)
Daily wage(in Rs)
268 - 276
276 - 284
284 - 292
292 - 300
300 - 308
308 - 316
316 - 324
No. of labourers
43
37
43
47
29
12
21
(iii)
Daily wage(in Rs)
268 - 276
276 - 284
284 - 292
292 - 300
300 - 308
308 - 316
316 - 324
No. of labourers
43
43
33
47
29
12
21
(iv)
Daily wage(in Rs)
268 - 276
276 - 284
284 - 292
292 - 300
300 - 308
308 - 316
316 - 324
No. of labourers
43
21
37
47
29
12
43
(v)
Daily wage(in Rs)
268 - 276
276 - 284
284 - 292
292 - 300
300 - 308
308 - 316
316 - 324
No. of labourers
43
43
37
47
29
12
21
Question
22
22.
Daily wages of 221 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)
245 - 252
253 - 260
261 - 268
269 - 276
277 - 284
285 - 292
293 - 300
No. of labourers
49
36
29
39
12
47
11
(ii)
Daily wage(in Rs)
245 - 252
253 - 260
261 - 268
269 - 276
277 - 284
285 - 292
293 - 300
No. of labourers
49
36
27
43
12
47
11
(iii)
Daily wage(in Rs)
245 - 252
253 - 260
261 - 268
269 - 276
277 - 284
285 - 292
293 - 300
No. of labourers
49
11
27
39
12
47
36
(iv)
Daily wage(in Rs)
245 - 252
253 - 260
261 - 268
269 - 276
277 - 284
285 - 292
293 - 300
No. of labourers
49
36
27
39
12
47
11
(v)
Daily wage(in Rs)
245 - 252
253 - 260
261 - 268
269 - 276
277 - 284
285 - 292
293 - 300
No. of labourers
49
27
36
39
12
47
11
Assignment Key
1) (i)
2) (iv)
3) (i)
4) (ii)
5) (v)
6) (v)
7) (iii)
8) (iv)
9) (iii)
10) (iii)
11) (iii)
12) (iii)
13) (v)
14) (ii)
15) (ii)
16) (v)
17) (i)
18) (iii)
19) (i)
20) (i)
21) (v)
22) (iv)
