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
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
Frequency
61
22
43
70
81
27
(ii)
Class-Interval
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
Frequency
61
22
45
75
81
27
(iii)
Class-Interval
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
Frequency
61
27
45
70
81
22
(iv)
Class-Interval
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
Frequency
61
45
22
70
81
27
(v)
Class-Interval
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
Frequency
61
22
45
70
81
27
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)
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
No. of doctors
36
27
24
34
48
48
15
(ii)
Age (in years)
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
No. of doctors
36
27
28
38
48
48
15
(iii)
Age (in years)
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
No. of doctors
36
27
24
38
48
48
15
(iv)
Age (in years)
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
No. of doctors
36
24
27
38
48
48
15
(v)
Age (in years)
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
No. of doctors
36
15
24
38
48
48
27
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)
141 - 151
151 - 161
161 - 171
171 - 181
181 - 191
191 - 201
No. of weeks
6
8
7
5
9
9
(ii)
Cost of living index (in rupees)
141 - 151
151 - 161
161 - 171
171 - 181
181 - 191
191 - 201
No. of weeks
6
9
8
5
9
7
(iii)
Cost of living index (in rupees)
141 - 151
151 - 161
161 - 171
171 - 181
181 - 191
191 - 201
No. of weeks
6
7
8
2
9
9
(iv)
Cost of living index (in rupees)
141 - 151
151 - 161
161 - 171
171 - 181
181 - 191
191 - 201
No. of weeks
6
7
8
5
9
9
(v)
Cost of living index (in rupees)
141 - 151
151 - 161
161 - 171
171 - 181
181 - 191
191 - 201
No. of weeks
6
7
10
5
9
9
Question
4
4.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
38 - 44
45 - 51
52 - 58
59 - 65
66 - 72
Frequency
67
62
89
15
83
(ii)
Class-Interval
38 - 44
45 - 51
52 - 58
59 - 65
66 - 72
Frequency
67
83
89
15
62
(iii)
Class-Interval
38 - 44
45 - 51
52 - 58
59 - 65
66 - 72
Frequency
67
89
83
15
62
(iv)
Class-Interval
38 - 44
45 - 51
52 - 58
59 - 65
66 - 72
Frequency
67
87
89
15
62
(v)
Class-Interval
38 - 44
45 - 51
52 - 58
59 - 65
66 - 72
Frequency
67
83
94
15
62
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)
30 - 35
36 - 41
42 - 47
48 - 53
54 - 59
No. of doctors
19
37
22
27
20
(ii)
Age (in years)
30 - 35
36 - 41
42 - 47
48 - 53
54 - 59
No. of doctors
19
15
22
27
37
(iii)
Age (in years)
30 - 35
36 - 41
42 - 47
48 - 53
54 - 59
No. of doctors
19
22
20
27
37
(iv)
Age (in years)
30 - 35
36 - 41
42 - 47
48 - 53
54 - 59
No. of doctors
19
20
22
27
37
(v)
Age (in years)
30 - 35
36 - 41
42 - 47
48 - 53
54 - 59
No. of doctors
19
20
25
27
37
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)
146 - 154
155 - 163
164 - 172
173 - 181
182 - 190
No. of weeks
9
6
5
7
10
(ii)
Cost of living index (in rupees)
146 - 154
155 - 163
164 - 172
173 - 181
182 - 190
No. of weeks
9
10
5
7
10
(iii)
Cost of living index (in rupees)
146 - 154
155 - 163
164 - 172
173 - 181
182 - 190
No. of weeks
9
10
5
7
6
(iv)
Cost of living index (in rupees)
146 - 154
155 - 163
164 - 172
173 - 181
182 - 190
No. of weeks
9
6
8
7
10
(v)
Cost of living index (in rupees)
146 - 154
155 - 163
164 - 172
173 - 181
182 - 190
No. of weeks
9
5
6
7
10
Question
7
7.
Heights of 232 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 - 134
134 - 140
140 - 146
146 - 152
152 - 158
158 - 164
164 - 170
170 - 176
No. of students
30
44
43
46
11
5
41
12
(ii)
Height (in cm)
128 - 134
134 - 140
140 - 146
146 - 152
152 - 158
158 - 164
164 - 170
170 - 176
No. of students
30
44
49
43
11
5
41
12
(iii)
Height (in cm)
128 - 134
134 - 140
140 - 146
146 - 152
152 - 158
158 - 164
164 - 170
170 - 176
No. of students
30
44
46
43
13
5
41
12
(iv)
Height (in cm)
128 - 134
134 - 140
140 - 146
146 - 152
152 - 158
158 - 164
164 - 170
170 - 176
No. of students
30
44
46
43
11
5
41
12
(v)
Height (in cm)
128 - 134
134 - 140
140 - 146
146 - 152
152 - 158
158 - 164
164 - 170
170 - 176
No. of students
30
12
46
43
11
5
41
44
Question
8
8.
Heights of 125 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 - 136
137 - 145
146 - 154
155 - 163
164 - 172
173 - 181
182 - 190
No. of students
15
13
29
7
37
9
15
(ii)
Height (in cm)
128 - 136
137 - 145
146 - 154
155 - 163
164 - 172
173 - 181
182 - 190
No. of students
15
15
13
7
37
9
29
(iii)
Height (in cm)
128 - 136
137 - 145
146 - 154
155 - 163
164 - 172
173 - 181
182 - 190
No. of students
15
29
13
7
37
9
15
(iv)
Height (in cm)
128 - 136
137 - 145
146 - 154
155 - 163
164 - 172
173 - 181
182 - 190
No. of students
15
29
18
7
37
9
15
(v)
Height (in cm)
128 - 136
137 - 145
146 - 154
155 - 163
164 - 172
173 - 181
182 - 190
No. of students
15
29
13
9
37
9
15
Question
9
9.
Heights of 246 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)
67 - 75
75 - 83
83 - 91
91 - 99
99 - 107
107 - 115
115 - 123
123 - 131
No. of plants
23
29
34
8
48
21
43
40
(ii)
Height (in cm)
67 - 75
75 - 83
83 - 91
91 - 99
99 - 107
107 - 115
115 - 123
123 - 131
No. of plants
23
40
34
8
48
21
43
29
(iii)
Height (in cm)
67 - 75
75 - 83
83 - 91
91 - 99
99 - 107
107 - 115
115 - 123
123 - 131
No. of plants
23
29
8
34
48
21
43
40
(iv)
Height (in cm)
67 - 75
75 - 83
83 - 91
91 - 99
99 - 107
107 - 115
115 - 123
123 - 131
No. of plants
23
29
34
8
43
21
43
40
(v)
Height (in cm)
67 - 75
75 - 83
83 - 91
91 - 99
99 - 107
107 - 115
115 - 123
123 - 131
No. of plants
23
29
36
8
48
21
43
40
Question
10
10.
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)
64 - 70
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
No. of plants
30
37
24
31
36
29
(ii)
Height (in cm)
64 - 70
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
No. of plants
30
37
24
35
36
29
(iii)
Height (in cm)
64 - 70
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
No. of plants
30
24
37
31
36
29
(iv)
Height (in cm)
64 - 70
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
No. of plants
30
29
24
31
36
37
(v)
Height (in cm)
64 - 70
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
No. of plants
30
37
22
31
36
29
Question
11
11.
Ages of 154 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)
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
15
36
7
31
13
50
(ii)
Age (in years)
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
15
50
7
33
13
36
(iii)
Age (in years)
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
15
36
2
33
13
50
(iv)
Age (in years)
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
15
36
7
33
13
50
(v)
Age (in years)
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
15
7
36
33
13
50
Question
12
12.
Ages of 231 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 - 21
22 - 27
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
58 - 63
No. of students
29
26
16
23
34
48
48
7
(ii)
Age (in years)
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
58 - 63
No. of students
29
26
23
16
31
48
48
7
(iii)
Age (in years)
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
58 - 63
No. of students
29
26
20
16
34
48
48
7
(iv)
Age (in years)
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
58 - 63
No. of students
29
7
23
16
34
48
48
26
(v)
Age (in years)
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
58 - 63
No. of students
29
26
23
16
34
48
48
7
Question
13
13.
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
76 - 85
85 - 94
94 - 103
103 - 112
112 - 121
121 - 130
130 - 139
139 - 148
No. of students
37
8
22
21
21
7
17
40
(ii)
Score
76 - 85
85 - 94
94 - 103
103 - 112
112 - 121
121 - 130
130 - 139
139 - 148
No. of students
37
8
22
21
18
7
17
40
(iii)
Score
76 - 85
85 - 94
94 - 103
103 - 112
112 - 121
121 - 130
130 - 139
139 - 148
No. of students
37
8
21
22
18
7
17
40
(iv)
Score
76 - 85
85 - 94
94 - 103
103 - 112
112 - 121
121 - 130
130 - 139
139 - 148
No. of students
37
40
22
21
18
7
17
8
(v)
Score
76 - 85
85 - 94
94 - 103
103 - 112
112 - 121
121 - 130
130 - 139
139 - 148
No. of students
37
8
17
21
18
7
17
40
Question
14
14.
Scores of 147 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
76 - 85
86 - 95
96 - 105
106 - 115
116 - 125
No. of students
22
30
36
34
25
(ii)
Score
76 - 85
86 - 95
96 - 105
106 - 115
116 - 125
No. of students
22
21
36
34
30
(iii)
Score
76 - 85
86 - 95
96 - 105
106 - 115
116 - 125
No. of students
22
25
41
34
30
(iv)
Score
76 - 85
86 - 95
96 - 105
106 - 115
116 - 125
No. of students
22
25
36
34
30
(v)
Score
76 - 85
86 - 95
96 - 105
106 - 115
116 - 125
No. of students
22
36
25
34
30
Question
15
15.
Rainfall of 163 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)
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
No. of days
37
19
36
40
31
(ii)
Rainfall (in mm)
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
No. of days
37
36
19
40
31
(iii)
Rainfall (in mm)
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
No. of days
37
31
19
40
36
(iv)
Rainfall (in mm)
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
No. of days
37
36
24
40
31
(v)
Rainfall (in mm)
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
No. of days
37
32
19
40
31
Question
16
16.
Rainfall of 168 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)
13 - 22
23 - 32
33 - 42
43 - 52
53 - 62
No. of days
26
50
41
34
17
(ii)
Rainfall (in mm)
13 - 22
23 - 32
33 - 42
43 - 52
53 - 62
No. of days
26
41
45
34
17
(iii)
Rainfall (in mm)
13 - 22
23 - 32
33 - 42
43 - 52
53 - 62
No. of days
26
17
50
34
41
(iv)
Rainfall (in mm)
13 - 22
23 - 32
33 - 42
43 - 52
53 - 62
No. of days
26
43
50
34
17
(v)
Rainfall (in mm)
13 - 22
23 - 32
33 - 42
43 - 52
53 - 62
No. of days
26
41
50
34
17
Question
17
17.
Temperatures of 236 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)
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
76 - 83
83 - 90
No. of days
11
38
38
31
5
49
23
41
(ii)
Temperature (in degree)
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
76 - 83
83 - 90
No. of days
11
41
31
38
5
49
23
38
(iii)
Temperature (in degree)
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
76 - 83
83 - 90
No. of days
11
41
42
31
5
49
23
38
(iv)
Temperature (in degree)
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
76 - 83
83 - 90
No. of days
11
41
38
31
8
49
23
38
(v)
Temperature (in degree)
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
76 - 83
83 - 90
No. of days
11
41
38
31
5
49
23
38
Question
18
18.
Temperatures of 170 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)
27 - 36
37 - 46
47 - 56
57 - 66
67 - 76
No. of days
45
15
33
34
38
(ii)
Temperature (in degree)
27 - 36
37 - 46
47 - 56
57 - 66
67 - 76
No. of days
45
15
38
34
38
(iii)
Temperature (in degree)
27 - 36
37 - 46
47 - 56
57 - 66
67 - 76
No. of days
45
38
38
34
15
(iv)
Temperature (in degree)
27 - 36
37 - 46
47 - 56
57 - 66
67 - 76
No. of days
45
38
15
34
38
(v)
Temperature (in degree)
27 - 36
37 - 46
47 - 56
57 - 66
67 - 76
No. of days
45
17
38
34
38
Question
19
19.
Weights of 174 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)
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
No. of students
20
28
16
50
21
39
(ii)
Weight (in kg)
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
No. of students
20
28
19
50
21
39
(iii)
Weight (in kg)
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
No. of students
20
16
28
50
21
39
(iv)
Weight (in kg)
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
No. of students
20
28
16
52
21
39
(v)
Weight (in kg)
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
No. of students
20
39
16
50
21
28
Question
20
20.
Weights of 249 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)
40 - 48
49 - 57
58 - 66
67 - 75
76 - 84
85 - 93
94 - 102
103 - 111
No. of students
20
45
20
32
26
42
18
48
(ii)
Weight (in kg)
40 - 48
49 - 57
58 - 66
67 - 75
76 - 84
85 - 93
94 - 102
103 - 111
No. of students
20
45
18
32
26
42
18
48
(iii)
Weight (in kg)
40 - 48
49 - 57
58 - 66
67 - 75
76 - 84
85 - 93
94 - 102
103 - 111
No. of students
20
45
32
18
26
42
18
48
(iv)
Weight (in kg)
40 - 48
49 - 57
58 - 66
67 - 75
76 - 84
85 - 93
94 - 102
103 - 111
No. of students
20
48
18
32
26
42
18
45
(v)
Weight (in kg)
40 - 48
49 - 57
58 - 66
67 - 75
76 - 84
85 - 93
94 - 102
103 - 111
No. of students
20
45
18
32
22
42
18
48
Question
21
21.
Daily wages of 189 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)
220 - 225
225 - 230
230 - 235
235 - 240
240 - 245
245 - 250
No. of labourers
19
32
37
28
47
26
(ii)
Daily wage(in Rs)
220 - 225
225 - 230
230 - 235
235 - 240
240 - 245
245 - 250
No. of labourers
19
37
32
30
47
26
(iii)
Daily wage(in Rs)
220 - 225
225 - 230
230 - 235
235 - 240
240 - 245
245 - 250
No. of labourers
19
37
32
28
47
26
(iv)
Daily wage(in Rs)
220 - 225
225 - 230
230 - 235
235 - 240
240 - 245
245 - 250
No. of labourers
19
37
34
28
47
26
(v)
Daily wage(in Rs)
220 - 225
225 - 230
230 - 235
235 - 240
240 - 245
245 - 250
No. of labourers
19
26
32
28
47
37
Question
22
22.
Daily wages of 101 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)
262 - 271
272 - 281
282 - 291
292 - 301
302 - 311
No. of labourers
20
13
48
9
6
(ii)
Daily wage(in Rs)
262 - 271
272 - 281
282 - 291
292 - 301
302 - 311
No. of labourers
20
6
48
9
18
(iii)
Daily wage(in Rs)
262 - 271
272 - 281
282 - 291
292 - 301
302 - 311
No. of labourers
20
18
51
9
6
(iv)
Daily wage(in Rs)
262 - 271
272 - 281
282 - 291
292 - 301
302 - 311
No. of labourers
20
48
18
9
6
(v)
Daily wage(in Rs)
262 - 271
272 - 281
282 - 291
292 - 301
302 - 311
No. of labourers
20
18
48
9
6
Assignment Key
1) (v)
2) (iii)
3) (iv)
4) (ii)
5) (iv)
6) (i)
7) (iv)
8) (iii)
9) (i)
10) (i)
11) (iv)
12) (v)
13) (ii)
14) (iv)
15) (ii)
16) (v)
17) (v)
18) (ii)
19) (i)
20) (ii)
21) (iii)
22) (v)