EduSahara™ Assignment
Name : Histogram and Frequency Polygon on the same Graph
Chapter : Graphical Representation of Statistical Data
Grade : ICSE 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
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
Frequency
14
90
13
61
82
88
(ii)
Class-Interval
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
Frequency
14
13
90
61
82
88
(iii)
Class-Interval
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
Frequency
14
88
13
61
82
90
(iv)
Class-Interval
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
Frequency
14
90
13
58
82
88
(v)
Class-Interval
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
Frequency
14
90
10
61
82
88
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)
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
No. of doctors
19
30
52
13
20
38
(ii)
Age (in years)
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
No. of doctors
19
38
49
13
20
30
(iii)
Age (in years)
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
No. of doctors
19
30
49
13
20
38
(iv)
Age (in years)
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
No. of doctors
19
49
30
13
20
38
(v)
Age (in years)
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
No. of doctors
19
30
49
17
20
38
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)
170 - 179
179 - 188
188 - 197
197 - 206
206 - 215
No. of weeks
7
7
9
7
10
(ii)
Cost of living index (in rupees)
170 - 179
179 - 188
188 - 197
197 - 206
206 - 215
No. of weeks
7
10
7
7
9
(iii)
Cost of living index (in rupees)
170 - 179
179 - 188
188 - 197
197 - 206
206 - 215
No. of weeks
7
11
7
7
10
(iv)
Cost of living index (in rupees)
170 - 179
179 - 188
188 - 197
197 - 206
206 - 215
No. of weeks
7
9
11
7
10
(v)
Cost of living index (in rupees)
170 - 179
179 - 188
188 - 197
197 - 206
206 - 215
No. of weeks
7
9
7
7
10
Question
4
4.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
32 - 38
39 - 45
46 - 52
53 - 59
60 - 66
67 - 73
Frequency
65
86
44
36
24
66
(ii)
Class-Interval
32 - 38
39 - 45
46 - 52
53 - 59
60 - 66
67 - 73
Frequency
65
86
41
38
24
66
(iii)
Class-Interval
32 - 38
39 - 45
46 - 52
53 - 59
60 - 66
67 - 73
Frequency
65
86
44
38
24
66
(iv)
Class-Interval
32 - 38
39 - 45
46 - 52
53 - 59
60 - 66
67 - 73
Frequency
65
66
44
38
24
86
(v)
Class-Interval
32 - 38
39 - 45
46 - 52
53 - 59
60 - 66
67 - 73
Frequency
65
44
86
38
24
66
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)
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
69 - 75
No. of doctors
10
22
15
40
28
17
41
(ii)
Age (in years)
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
69 - 75
No. of doctors
10
15
22
35
28
17
41
(iii)
Age (in years)
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
69 - 75
No. of doctors
10
22
17
35
28
17
41
(iv)
Age (in years)
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
69 - 75
No. of doctors
10
22
15
35
28
17
41
(v)
Age (in years)
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
69 - 75
No. of doctors
10
41
15
35
28
17
22
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)
152 - 162
163 - 173
174 - 184
185 - 195
196 - 206
No. of weeks
9
6
7
10
9
(ii)
Cost of living index (in rupees)
152 - 162
163 - 173
174 - 184
185 - 195
196 - 206
No. of weeks
9
1
9
10
9
(iii)
Cost of living index (in rupees)
152 - 162
163 - 173
174 - 184
185 - 195
196 - 206
No. of weeks
9
9
6
10
9
(iv)
Cost of living index (in rupees)
152 - 162
163 - 173
174 - 184
185 - 195
196 - 206
No. of weeks
9
9
9
10
6
(v)
Cost of living index (in rupees)
152 - 162
163 - 173
174 - 184
185 - 195
196 - 206
No. of weeks
9
6
9
10
9
Question
7
7.
Heights of 186 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
134 - 142
142 - 150
150 - 158
158 - 166
166 - 174
174 - 182
No. of students
37
37
10
8
11
33
46
(ii)
Height (in cm)
126 - 134
134 - 142
142 - 150
150 - 158
158 - 166
166 - 174
174 - 182
No. of students
37
37
14
3
11
33
46
(iii)
Height (in cm)
126 - 134
134 - 142
142 - 150
150 - 158
158 - 166
166 - 174
174 - 182
No. of students
37
46
14
8
11
33
37
(iv)
Height (in cm)
126 - 134
134 - 142
142 - 150
150 - 158
158 - 166
166 - 174
174 - 182
No. of students
37
37
14
8
11
33
46
(v)
Height (in cm)
126 - 134
134 - 142
142 - 150
150 - 158
158 - 166
166 - 174
174 - 182
No. of students
37
14
37
8
11
33
46
Question
8
8.
Heights of 220 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 - 134
135 - 140
141 - 146
147 - 152
153 - 158
159 - 164
165 - 170
171 - 176
No. of students
29
48
35
6
31
37
14
18
(ii)
Height (in cm)
129 - 134
135 - 140
141 - 146
147 - 152
153 - 158
159 - 164
165 - 170
171 - 176
No. of students
29
48
37
6
31
37
14
18
(iii)
Height (in cm)
129 - 134
135 - 140
141 - 146
147 - 152
153 - 158
159 - 164
165 - 170
171 - 176
No. of students
29
48
6
37
31
37
14
18
(iv)
Height (in cm)
129 - 134
135 - 140
141 - 146
147 - 152
153 - 158
159 - 164
165 - 170
171 - 176
No. of students
29
18
37
6
31
37
14
48
(v)
Height (in cm)
129 - 134
135 - 140
141 - 146
147 - 152
153 - 158
159 - 164
165 - 170
171 - 176
No. of students
29
48
37
6
36
37
14
18
Question
9
9.
Heights of 210 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 - 73
73 - 81
81 - 89
89 - 97
97 - 105
105 - 113
113 - 121
No. of plants
45
45
38
19
24
24
15
(ii)
Height (in cm)
65 - 73
73 - 81
81 - 89
89 - 97
97 - 105
105 - 113
113 - 121
No. of plants
45
15
34
19
24
24
45
(iii)
Height (in cm)
65 - 73
73 - 81
81 - 89
89 - 97
97 - 105
105 - 113
113 - 121
No. of plants
45
15
38
19
24
24
45
(iv)
Height (in cm)
65 - 73
73 - 81
81 - 89
89 - 97
97 - 105
105 - 113
113 - 121
No. of plants
45
38
15
19
24
24
45
(v)
Height (in cm)
65 - 73
73 - 81
81 - 89
89 - 97
97 - 105
105 - 113
113 - 121
No. of plants
45
15
38
24
24
24
45
Question
10
10.
Heights of 179 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)
62 - 71
72 - 81
82 - 91
92 - 101
102 - 111
No. of plants
36
48
30
33
32
(ii)
Height (in cm)
62 - 71
72 - 81
82 - 91
92 - 101
102 - 111
No. of plants
36
30
48
33
32
(iii)
Height (in cm)
62 - 71
72 - 81
82 - 91
92 - 101
102 - 111
No. of plants
36
32
48
33
30
(iv)
Height (in cm)
62 - 71
72 - 81
82 - 91
92 - 101
102 - 111
No. of plants
36
30
50
33
32
(v)
Height (in cm)
62 - 71
72 - 81
82 - 91
92 - 101
102 - 111
No. of plants
36
35
48
33
32
Question
11
11.
Ages of 145 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 - 23
23 - 30
30 - 37
37 - 44
44 - 51
51 - 58
58 - 65
65 - 72
No. of students
5
25
9
11
18
17
37
20
(ii)
Age (in years)
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
51 - 58
58 - 65
65 - 72
No. of students
5
25
11
12
18
17
37
20
(iii)
Age (in years)
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
51 - 58
58 - 65
65 - 72
No. of students
5
25
12
11
18
17
37
20
(iv)
Age (in years)
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
51 - 58
58 - 65
65 - 72
No. of students
5
25
12
11
21
17
37
20
(v)
Age (in years)
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
51 - 58
58 - 65
65 - 72
No. of students
5
20
12
11
18
17
37
25
Question
12
12.
Ages of 184 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 - 20
21 - 27
28 - 34
35 - 41
42 - 48
49 - 55
No. of students
44
20
32
21
36
29
(ii)
Age (in years)
14 - 20
21 - 27
28 - 34
35 - 41
42 - 48
49 - 55
No. of students
44
29
34
21
36
20
(iii)
Age (in years)
14 - 20
21 - 27
28 - 34
35 - 41
42 - 48
49 - 55
No. of students
44
20
34
16
36
29
(iv)
Age (in years)
14 - 20
21 - 27
28 - 34
35 - 41
42 - 48
49 - 55
No. of students
44
20
34
21
36
29
(v)
Age (in years)
14 - 20
21 - 27
28 - 34
35 - 41
42 - 48
49 - 55
No. of students
44
34
20
21
36
29
Question
13
13.
Scores of 175 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
73 - 81
81 - 89
89 - 97
97 - 105
105 - 113
113 - 121
No. of students
37
27
50
5
41
15
(ii)
Score
73 - 81
81 - 89
89 - 97
97 - 105
105 - 113
113 - 121
No. of students
37
27
47
5
41
15
(iii)
Score
73 - 81
81 - 89
89 - 97
97 - 105
105 - 113
113 - 121
No. of students
37
15
50
5
41
27
(iv)
Score
73 - 81
81 - 89
89 - 97
97 - 105
105 - 113
113 - 121
No. of students
37
27
50
3
41
15
(v)
Score
73 - 81
81 - 89
89 - 97
97 - 105
105 - 113
113 - 121
No. of students
37
50
27
5
41
15
Question
14
14.
Scores of 214 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
113 - 120
121 - 128
129 - 136
No. of students
43
23
16
12
27
42
38
13
(ii)
Score
73 - 80
81 - 88
89 - 96
97 - 104
105 - 112
113 - 120
121 - 128
129 - 136
No. of students
43
13
16
12
24
42
38
23
(iii)
Score
73 - 80
81 - 88
89 - 96
97 - 104
105 - 112
113 - 120
121 - 128
129 - 136
No. of students
43
13
20
12
27
42
38
23
(iv)
Score
73 - 80
81 - 88
89 - 96
97 - 104
105 - 112
113 - 120
121 - 128
129 - 136
No. of students
43
13
16
12
27
42
38
23
(v)
Score
73 - 80
81 - 88
89 - 96
97 - 104
105 - 112
113 - 120
121 - 128
129 - 136
No. of students
43
13
12
16
27
42
38
23
Question
15
15.
Rainfall of 126 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)
9 - 14
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
No. of days
11
21
16
40
24
11
(ii)
Rainfall (in mm)
9 - 14
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
No. of days
11
16
21
43
24
11
(iii)
Rainfall (in mm)
9 - 14
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
No. of days
11
21
16
43
24
11
(iv)
Rainfall (in mm)
9 - 14
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
No. of days
11
21
19
43
24
11
(v)
Rainfall (in mm)
9 - 14
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
No. of days
11
11
16
43
24
21
Question
16
16.
Rainfall of 177 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
No. of days
18
29
39
45
14
35
(ii)
Rainfall (in mm)
6 - 14
15 - 23
24 - 32
33 - 41
42 - 50
51 - 59
No. of days
18
35
39
42
14
29
(iii)
Rainfall (in mm)
6 - 14
15 - 23
24 - 32
33 - 41
42 - 50
51 - 59
No. of days
18
29
39
42
14
35
(iv)
Rainfall (in mm)
6 - 14
15 - 23
24 - 32
33 - 41
42 - 50
51 - 59
No. of days
18
39
29
42
14
35
(v)
Rainfall (in mm)
6 - 14
15 - 23
24 - 32
33 - 41
42 - 50
51 - 59
No. of days
18
29
34
42
14
35
Question
17
17.
Temperatures of 218 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 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
91 - 101
No. of days
23
41
16
37
15
47
35
(ii)
Temperature (in degree)
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
91 - 101
No. of days
23
41
20
35
15
47
35
(iii)
Temperature (in degree)
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
91 - 101
No. of days
23
20
41
37
15
47
35
(iv)
Temperature (in degree)
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
91 - 101
No. of days
23
41
20
37
15
47
35
(v)
Temperature (in degree)
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
91 - 101
No. of days
23
35
20
37
15
47
41
Question
18
18.
Temperatures of 134 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 - 39
40 - 49
50 - 59
60 - 69
70 - 79
No. of days
48
46
12
16
12
(ii)
Temperature (in degree)
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
No. of days
48
14
46
16
12
(iii)
Temperature (in degree)
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
No. of days
48
12
46
16
12
(iv)
Temperature (in degree)
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
No. of days
48
12
49
16
12
Question
19
19.
Weights of 160 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)
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
96 - 104
104 - 112
112 - 120
No. of students
19
46
15
6
9
13
18
39
(ii)
Weight (in kg)
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
96 - 104
104 - 112
112 - 120
No. of students
19
46
10
6
12
13
18
39
(iii)
Weight (in kg)
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
96 - 104
104 - 112
112 - 120
No. of students
19
46
10
6
9
13
18
39
(iv)
Weight (in kg)
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
96 - 104
104 - 112
112 - 120
No. of students
19
46
6
10
9
13
18
39
(v)
Weight (in kg)
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
96 - 104
104 - 112
112 - 120
No. of students
19
39
10
6
9
13
18
46
Question
20
20.
Weights of 189 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)
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
77 - 82
83 - 88
No. of students
49
9
18
14
37
31
26
(ii)
Weight (in kg)
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
77 - 82
83 - 88
No. of students
49
23
9
14
37
31
26
(iii)
Weight (in kg)
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
77 - 82
83 - 88
No. of students
49
9
23
14
37
31
26
(iv)
Weight (in kg)
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
77 - 82
83 - 88
No. of students
49
26
23
14
37
31
9
(v)
Weight (in kg)
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
77 - 82
83 - 88
No. of students
49
9
23
9
37
31
26
Question
21
21.
Daily wages of 172 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)
232 - 241
241 - 250
250 - 259
259 - 268
268 - 277
277 - 286
No. of labourers
30
25
10
30
48
29
(ii)
Daily wage(in Rs)
232 - 241
241 - 250
250 - 259
259 - 268
268 - 277
277 - 286
No. of labourers
30
29
10
30
48
25
(iii)
Daily wage(in Rs)
232 - 241
241 - 250
250 - 259
259 - 268
268 - 277
277 - 286
No. of labourers
30
29
14
30
48
25
(iv)
Daily wage(in Rs)
232 - 241
241 - 250
250 - 259
259 - 268
268 - 277
277 - 286
No. of labourers
30
29
10
32
48
25
(v)
Daily wage(in Rs)
232 - 241
241 - 250
250 - 259
259 - 268
268 - 277
277 - 286
No. of labourers
30
10
29
30
48
25
Question
22
22.
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)
275 - 281
282 - 288
289 - 295
296 - 302
303 - 309
310 - 316
No. of labourers
33
5
21
23
49
29
(ii)
Daily wage(in Rs)
275 - 281
282 - 288
289 - 295
296 - 302
303 - 309
310 - 316
No. of labourers
33
21
5
26
49
29
(iii)
Daily wage(in Rs)
275 - 281
282 - 288
289 - 295
296 - 302
303 - 309
310 - 316
No. of labourers
33
29
21
26
49
5
(iv)
Daily wage(in Rs)
275 - 281
282 - 288
289 - 295
296 - 302
303 - 309
310 - 316
No. of labourers
33
5
21
26
49
29
(v)
Daily wage(in Rs)
275 - 281
282 - 288
289 - 295
296 - 302
303 - 309
310 - 316
No. of labourers
33
5
25
26
49
29
Assignment Key
1) (i)
2) (iii)
3) (v)
4) (iii)
5) (iv)
6) (v)
7) (iv)
8) (ii)
9) (iii)
10) (ii)
11) (iii)
12) (iv)
13) (i)
14) (iv)
15) (iii)
16) (iii)
17) (iv)
18) (iii)
19) (iii)
20) (iii)
21) (ii)
22) (iv)