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
12 - 22
22 - 32
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
Frequency
17
37
85
17
88
29
22
51
(ii)
Class-Interval
12 - 22
22 - 32
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
Frequency
17
51
85
17
83
29
22
37
(iii)
Class-Interval
12 - 22
22 - 32
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
Frequency
17
37
17
85
83
29
22
51
(iv)
Class-Interval
12 - 22
22 - 32
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
Frequency
17
37
85
17
83
29
22
51
(v)
Class-Interval
12 - 22
22 - 32
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
Frequency
17
37
90
17
83
29
22
51
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 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
No. of doctors
22
12
28
14
26
15
(ii)
Age (in years)
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
No. of doctors
22
15
24
14
26
12
(iii)
Age (in years)
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
No. of doctors
22
15
28
14
26
12
(iv)
Age (in years)
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
No. of doctors
22
28
15
14
26
12
(v)
Age (in years)
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
No. of doctors
22
15
28
9
26
12
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 - 131
131 - 137
137 - 143
143 - 149
149 - 155
155 - 161
No. of weeks
7
10
9
6
6
8
(ii)
Cost of living index (in rupees)
125 - 131
131 - 137
137 - 143
143 - 149
149 - 155
155 - 161
No. of weeks
7
9
10
6
6
8
(iii)
Cost of living index (in rupees)
125 - 131
131 - 137
137 - 143
143 - 149
149 - 155
155 - 161
No. of weeks
7
9
5
6
6
8
(iv)
Cost of living index (in rupees)
125 - 131
131 - 137
137 - 143
143 - 149
149 - 155
155 - 161
No. of weeks
7
8
10
6
6
9
(v)
Cost of living index (in rupees)
125 - 131
131 - 137
137 - 143
143 - 149
149 - 155
155 - 161
No. of weeks
7
9
10
4
6
8
Question
4
4.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
23 - 29
30 - 36
37 - 43
44 - 50
51 - 57
58 - 64
65 - 71
Frequency
55
32
67
38
41
90
18
(ii)
Class-Interval
23 - 29
30 - 36
37 - 43
44 - 50
51 - 57
58 - 64
65 - 71
Frequency
55
18
64
38
41
90
32
(iii)
Class-Interval
23 - 29
30 - 36
37 - 43
44 - 50
51 - 57
58 - 64
65 - 71
Frequency
55
32
64
34
41
90
18
(iv)
Class-Interval
23 - 29
30 - 36
37 - 43
44 - 50
51 - 57
58 - 64
65 - 71
Frequency
55
32
64
38
41
90
18
(v)
Class-Interval
23 - 29
30 - 36
37 - 43
44 - 50
51 - 57
58 - 64
65 - 71
Frequency
55
64
32
38
41
90
18
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
No. of doctors
33
39
13
37
11
(ii)
Age (in years)
34 - 44
45 - 55
56 - 66
67 - 77
78 - 88
No. of doctors
33
11
13
37
37
(iii)
Age (in years)
34 - 44
45 - 55
56 - 66
67 - 77
78 - 88
No. of doctors
33
37
9
37
11
(iv)
Age (in years)
34 - 44
45 - 55
56 - 66
67 - 77
78 - 88
No. of doctors
33
37
13
37
11
(v)
Age (in years)
34 - 44
45 - 55
56 - 66
67 - 77
78 - 88
No. of doctors
33
13
37
37
11
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)
156 - 164
165 - 173
174 - 182
183 - 191
192 - 200
No. of weeks
8
6
12
10
6
(ii)
Cost of living index (in rupees)
156 - 164
165 - 173
174 - 182
183 - 191
192 - 200
No. of weeks
8
11
8
10
6
(iii)
Cost of living index (in rupees)
156 - 164
165 - 173
174 - 182
183 - 191
192 - 200
No. of weeks
8
8
6
10
6
(iv)
Cost of living index (in rupees)
156 - 164
165 - 173
174 - 182
183 - 191
192 - 200
No. of weeks
8
6
8
10
6
Question
7
7.
Heights of 129 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)
129 - 139
139 - 149
149 - 159
159 - 169
169 - 179
No. of students
28
42
21
13
23
(ii)
Height (in cm)
129 - 139
139 - 149
149 - 159
159 - 169
169 - 179
No. of students
28
21
44
13
23
(iii)
Height (in cm)
129 - 139
139 - 149
149 - 159
159 - 169
169 - 179
No. of students
28
44
18
13
23
(iv)
Height (in cm)
129 - 139
139 - 149
149 - 159
159 - 169
169 - 179
No. of students
28
44
21
13
23
(v)
Height (in cm)
129 - 139
139 - 149
149 - 159
159 - 169
169 - 179
No. of students
28
23
21
13
44
Question
8
8.
Heights of 128 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)
128 - 137
138 - 147
148 - 157
158 - 167
168 - 177
178 - 187
No. of students
26
7
16
15
32
32
(ii)
Height (in cm)
128 - 137
138 - 147
148 - 157
158 - 167
168 - 177
178 - 187
No. of students
26
32
16
13
32
7
(iii)
Height (in cm)
128 - 137
138 - 147
148 - 157
158 - 167
168 - 177
178 - 187
No. of students
26
16
32
15
32
7
(iv)
Height (in cm)
128 - 137
138 - 147
148 - 157
158 - 167
168 - 177
178 - 187
No. of students
26
32
11
15
32
7
(v)
Height (in cm)
128 - 137
138 - 147
148 - 157
158 - 167
168 - 177
178 - 187
No. of students
26
32
16
15
32
7
Question
9
9.
Heights of 187 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)
65 - 74
74 - 83
83 - 92
92 - 101
101 - 110
110 - 119
119 - 128
No. of plants
34
8
45
12
44
14
30
(ii)
Height (in cm)
65 - 74
74 - 83
83 - 92
92 - 101
101 - 110
110 - 119
119 - 128
No. of plants
34
45
8
12
44
14
30
(iii)
Height (in cm)
65 - 74
74 - 83
83 - 92
92 - 101
101 - 110
110 - 119
119 - 128
No. of plants
34
45
11
12
44
14
30
(iv)
Height (in cm)
65 - 74
74 - 83
83 - 92
92 - 101
101 - 110
110 - 119
119 - 128
No. of plants
34
30
8
12
44
14
45
(v)
Height (in cm)
65 - 74
74 - 83
83 - 92
92 - 101
101 - 110
110 - 119
119 - 128
No. of plants
34
45
8
16
44
14
30
Question
10
10.
Heights of 115 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)
56 - 61
62 - 67
68 - 73
74 - 79
80 - 85
No. of plants
35
14
32
24
14
(ii)
Height (in cm)
56 - 61
62 - 67
68 - 73
74 - 79
80 - 85
No. of plants
35
16
28
24
14
(iii)
Height (in cm)
56 - 61
62 - 67
68 - 73
74 - 79
80 - 85
No. of plants
35
28
14
24
14
(iv)
Height (in cm)
56 - 61
62 - 67
68 - 73
74 - 79
80 - 85
No. of plants
35
14
28
24
14
Question
11
11.
Ages of 149 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)
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
10
23
11
47
22
28
8
(ii)
Age (in years)
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
10
8
11
42
22
28
23
(iii)
Age (in years)
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
10
8
11
47
22
28
23
(iv)
Age (in years)
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
10
11
8
47
22
28
23
(v)
Age (in years)
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
10
8
16
47
22
28
23
Question
12
12.
Ages of 199 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)
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
No. of students
26
33
14
10
45
41
34
(ii)
Age (in years)
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
No. of students
26
33
19
6
45
41
34
(iii)
Age (in years)
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
No. of students
26
14
33
6
45
41
34
(iv)
Age (in years)
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
No. of students
26
33
14
6
45
41
34
(v)
Age (in years)
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
No. of students
26
34
14
6
45
41
33
Question
13
13.
Scores of 160 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
74 - 84
84 - 94
94 - 104
104 - 114
114 - 124
124 - 134
134 - 144
No. of students
32
31
9
24
31
7
26
(ii)
Score
74 - 84
84 - 94
94 - 104
104 - 114
114 - 124
124 - 134
134 - 144
No. of students
32
26
9
19
31
7
31
(iii)
Score
74 - 84
84 - 94
94 - 104
104 - 114
114 - 124
124 - 134
134 - 144
No. of students
32
9
26
24
31
7
31
(iv)
Score
74 - 84
84 - 94
94 - 104
104 - 114
114 - 124
124 - 134
134 - 144
No. of students
32
26
13
24
31
7
31
(v)
Score
74 - 84
84 - 94
94 - 104
104 - 114
114 - 124
124 - 134
134 - 144
No. of students
32
26
9
24
31
7
31
Question
14
14.
Scores of 209 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
83 - 89
90 - 96
97 - 103
104 - 110
111 - 117
118 - 124
125 - 131
132 - 138
No. of students
42
9
24
45
9
40
22
18
(ii)
Score
83 - 89
90 - 96
97 - 103
104 - 110
111 - 117
118 - 124
125 - 131
132 - 138
No. of students
42
9
24
45
13
40
22
18
(iii)
Score
83 - 89
90 - 96
97 - 103
104 - 110
111 - 117
118 - 124
125 - 131
132 - 138
No. of students
42
9
28
45
9
40
22
18
(iv)
Score
83 - 89
90 - 96
97 - 103
104 - 110
111 - 117
118 - 124
125 - 131
132 - 138
No. of students
42
9
45
24
9
40
22
18
(v)
Score
83 - 89
90 - 96
97 - 103
104 - 110
111 - 117
118 - 124
125 - 131
132 - 138
No. of students
42
18
24
45
9
40
22
9
Question
15
15.
Rainfall of 116 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 - 11
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
No. of days
20
9
32
11
9
7
28
(ii)
Rainfall (in mm)
6 - 11
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
No. of days
20
28
32
6
9
7
9
(iii)
Rainfall (in mm)
6 - 11
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
No. of days
20
28
32
11
9
7
9
(iv)
Rainfall (in mm)
6 - 11
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
No. of days
20
32
28
11
9
7
9
(v)
Rainfall (in mm)
6 - 11
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
No. of days
20
28
37
11
9
7
9
Question
16
16.
Rainfall of 189 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 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
No. of days
25
40
27
17
47
12
21
(ii)
Rainfall (in mm)
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
No. of days
25
40
22
17
47
12
21
(iii)
Rainfall (in mm)
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
No. of days
25
21
27
17
47
12
40
(iv)
Rainfall (in mm)
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
No. of days
25
40
27
14
47
12
21
(v)
Rainfall (in mm)
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
No. of days
25
27
40
17
47
12
21
Question
17
17.
Temperatures of 150 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 - 38
38 - 45
45 - 52
52 - 59
59 - 66
No. of days
27
23
34
24
42
(ii)
Temperature (in degree)
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
No. of days
27
31
23
24
42
(iii)
Temperature (in degree)
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
No. of days
27
34
28
24
42
(iv)
Temperature (in degree)
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
No. of days
27
42
23
24
34
(v)
Temperature (in degree)
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
No. of days
27
34
23
24
42
Question
18
18.
Temperatures of 162 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)
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
96 - 106
No. of days
11
34
32
15
6
48
16
(ii)
Temperature (in degree)
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
96 - 106
No. of days
11
34
32
12
6
48
16
(iii)
Temperature (in degree)
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
96 - 106
No. of days
11
16
32
15
6
48
34
(iv)
Temperature (in degree)
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
96 - 106
No. of days
11
34
30
15
6
48
16
(v)
Temperature (in degree)
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
96 - 106
No. of days
11
32
34
15
6
48
16
Question
19
19.
Weights of 207 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)
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
100 - 109
109 - 118
No. of students
42
22
7
6
32
48
21
24
(ii)
Weight (in kg)
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
100 - 109
109 - 118
No. of students
42
22
12
6
32
48
21
24
(iii)
Weight (in kg)
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
100 - 109
109 - 118
No. of students
42
22
6
12
32
48
21
24
(iv)
Weight (in kg)
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
100 - 109
109 - 118
No. of students
42
22
12
6
35
48
21
24
(v)
Weight (in kg)
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
100 - 109
109 - 118
No. of students
42
24
12
6
32
48
21
22
Question
20
20.
Weights of 127 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)
51 - 61
62 - 72
73 - 83
84 - 94
95 - 105
No. of students
38
38
8
38
8
(ii)
Weight (in kg)
51 - 61
62 - 72
73 - 83
84 - 94
95 - 105
No. of students
38
8
8
38
35
(iii)
Weight (in kg)
51 - 61
62 - 72
73 - 83
84 - 94
95 - 105
No. of students
38
35
8
38
8
(iv)
Weight (in kg)
51 - 61
62 - 72
73 - 83
84 - 94
95 - 105
No. of students
38
8
35
38
8
(v)
Weight (in kg)
51 - 61
62 - 72
73 - 83
84 - 94
95 - 105
No. of students
38
35
12
38
8
Question
21
21.
Daily wages of 238 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)
208 - 213
213 - 218
218 - 223
223 - 228
228 - 233
233 - 238
238 - 243
243 - 248
No. of labourers
6
48
19
36
33
41
37
18
(ii)
Daily wage(in Rs)
208 - 213
213 - 218
218 - 223
223 - 228
228 - 233
233 - 238
238 - 243
243 - 248
No. of labourers
6
18
19
36
33
41
37
48
(iii)
Daily wage(in Rs)
208 - 213
213 - 218
218 - 223
223 - 228
228 - 233
233 - 238
238 - 243
243 - 248
No. of labourers
6
48
14
36
33
41
37
18
(iv)
Daily wage(in Rs)
208 - 213
213 - 218
218 - 223
223 - 228
228 - 233
233 - 238
238 - 243
243 - 248
No. of labourers
6
48
19
36
28
41
37
18
(v)
Daily wage(in Rs)
208 - 213
213 - 218
218 - 223
223 - 228
228 - 233
233 - 238
238 - 243
243 - 248
No. of labourers
6
48
36
19
33
41
37
18
Question
22
22.
Daily wages of 170 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 - 244
245 - 254
255 - 264
265 - 274
275 - 284
285 - 294
295 - 304
No. of labourers
7
33
21
49
8
21
31
(ii)
Daily wage(in Rs)
235 - 244
245 - 254
255 - 264
265 - 274
275 - 284
285 - 294
295 - 304
No. of labourers
7
21
33
49
8
21
31
(iii)
Daily wage(in Rs)
235 - 244
245 - 254
255 - 264
265 - 274
275 - 284
285 - 294
295 - 304
No. of labourers
7
31
21
49
8
21
33
(iv)
Daily wage(in Rs)
235 - 244
245 - 254
255 - 264
265 - 274
275 - 284
285 - 294
295 - 304
No. of labourers
7
33
21
45
8
21
31
(v)
Daily wage(in Rs)
235 - 244
245 - 254
255 - 264
265 - 274
275 - 284
285 - 294
295 - 304
No. of labourers
7
33
18
49
8
21
31
Assignment Key
1) (iv)
2) (iii)
3) (ii)
4) (iv)
5) (iv)
6) (iv)
7) (iv)
8) (v)
9) (ii)
10) (iv)
11) (iii)
12) (iv)
13) (v)
14) (i)
15) (iii)
16) (i)
17) (v)
18) (i)
19) (ii)
20) (iii)
21) (i)
22) (i)
