EduSahara™ Assignment
Name : Histogram and Frequency Polygon on the same Graph
Chapter : Graphical Representation of Statistical Data
Grade : ICSE Grade X
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
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
Frequency
58
75
24
31
73
40
(ii)
Class-Interval
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
Frequency
58
24
40
31
73
75
(iii)
Class-Interval
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
Frequency
58
40
24
29
73
75
(iv)
Class-Interval
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
Frequency
58
40
28
31
73
75
(v)
Class-Interval
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
Frequency
58
40
24
31
73
75
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)
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
No. of doctors
23
14
19
20
50
31
(ii)
Age (in years)
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
No. of doctors
23
14
17
20
50
31
(iii)
Age (in years)
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
No. of doctors
23
14
17
24
50
31
(iv)
Age (in years)
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
No. of doctors
23
31
17
20
50
14
(v)
Age (in years)
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
No. of doctors
23
17
14
20
50
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)
105 - 112
112 - 119
119 - 126
126 - 133
133 - 140
140 - 147
No. of weeks
8
5
6
9
6
9
(ii)
Cost of living index (in rupees)
105 - 112
112 - 119
119 - 126
126 - 133
133 - 140
140 - 147
No. of weeks
8
6
2
9
6
9
(iii)
Cost of living index (in rupees)
105 - 112
112 - 119
119 - 126
126 - 133
133 - 140
140 - 147
No. of weeks
8
6
5
9
6
9
(iv)
Cost of living index (in rupees)
105 - 112
112 - 119
119 - 126
126 - 133
133 - 140
140 - 147
No. of weeks
8
9
5
9
6
6
(v)
Cost of living index (in rupees)
105 - 112
112 - 119
119 - 126
126 - 133
133 - 140
140 - 147
No. of weeks
8
6
5
14
6
9
Question
4
4.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
76 - 85
86 - 95
Frequency
61
49
34
44
75
18
90
(ii)
Class-Interval
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
76 - 85
86 - 95
Frequency
61
49
29
48
75
18
90
(iii)
Class-Interval
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
76 - 85
86 - 95
Frequency
61
90
29
44
75
18
49
(iv)
Class-Interval
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
76 - 85
86 - 95
Frequency
61
29
49
44
75
18
90
(v)
Class-Interval
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
76 - 85
86 - 95
Frequency
61
49
29
44
75
18
90
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)
26 - 34
35 - 43
44 - 52
53 - 61
62 - 70
No. of doctors
27
32
29
37
30
(ii)
Age (in years)
26 - 34
35 - 43
44 - 52
53 - 61
62 - 70
No. of doctors
27
37
34
37
30
(iii)
Age (in years)
26 - 34
35 - 43
44 - 52
53 - 61
62 - 70
No. of doctors
27
32
34
37
30
(iv)
Age (in years)
26 - 34
35 - 43
44 - 52
53 - 61
62 - 70
No. of doctors
27
34
32
37
30
(v)
Age (in years)
26 - 34
35 - 43
44 - 52
53 - 61
62 - 70
No. of doctors
27
30
34
37
32
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 - 169
170 - 177
178 - 185
186 - 193
194 - 201
No. of weeks
5
6
9
5
8
(ii)
Cost of living index (in rupees)
162 - 169
170 - 177
178 - 185
186 - 193
194 - 201
No. of weeks
5
10
12
5
8
(iii)
Cost of living index (in rupees)
162 - 169
170 - 177
178 - 185
186 - 193
194 - 201
No. of weeks
5
8
9
5
10
(iv)
Cost of living index (in rupees)
162 - 169
170 - 177
178 - 185
186 - 193
194 - 201
No. of weeks
5
10
9
5
8
(v)
Cost of living index (in rupees)
162 - 169
170 - 177
178 - 185
186 - 193
194 - 201
No. of weeks
5
9
10
5
8
Question
7
7.
Heights of 172 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 - 138
138 - 148
148 - 158
158 - 168
168 - 178
No. of students
19
35
22
49
42
(ii)
Height (in cm)
128 - 138
138 - 148
148 - 158
158 - 168
168 - 178
No. of students
19
40
22
49
42
(iii)
Height (in cm)
128 - 138
138 - 148
148 - 158
158 - 168
168 - 178
No. of students
19
42
22
49
40
(iv)
Height (in cm)
128 - 138
138 - 148
148 - 158
158 - 168
168 - 178
No. of students
19
40
17
49
42
(v)
Height (in cm)
128 - 138
138 - 148
148 - 158
158 - 168
168 - 178
No. of students
19
22
40
49
42
Question
8
8.
Heights of 274 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)
124 - 129
130 - 135
136 - 141
142 - 147
148 - 153
154 - 159
160 - 165
No. of students
42
21
34
40
41
48
48
(ii)
Height (in cm)
124 - 129
130 - 135
136 - 141
142 - 147
148 - 153
154 - 159
160 - 165
No. of students
42
48
34
40
41
48
21
(iii)
Height (in cm)
124 - 129
130 - 135
136 - 141
142 - 147
148 - 153
154 - 159
160 - 165
No. of students
42
21
32
40
41
48
48
(iv)
Height (in cm)
124 - 129
130 - 135
136 - 141
142 - 147
148 - 153
154 - 159
160 - 165
No. of students
42
34
21
40
41
48
48
(v)
Height (in cm)
124 - 129
130 - 135
136 - 141
142 - 147
148 - 153
154 - 159
160 - 165
No. of students
42
21
34
35
41
48
48
Question
9
9.
Heights of 215 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)
55 - 63
63 - 71
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
111 - 119
No. of plants
28
48
6
32
39
10
19
33
(ii)
Height (in cm)
55 - 63
63 - 71
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
111 - 119
No. of plants
28
33
32
6
39
10
19
48
(iii)
Height (in cm)
55 - 63
63 - 71
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
111 - 119
No. of plants
28
33
6
32
36
10
19
48
(iv)
Height (in cm)
55 - 63
63 - 71
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
111 - 119
No. of plants
28
33
6
32
39
10
19
48
(v)
Height (in cm)
55 - 63
63 - 71
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
111 - 119
No. of plants
28
33
10
32
39
10
19
48
Question
10
10.
Heights of 200 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)
66 - 73
74 - 81
82 - 89
90 - 97
98 - 105
106 - 113
No. of plants
13
29
46
34
33
41
(ii)
Height (in cm)
66 - 73
74 - 81
82 - 89
90 - 97
98 - 105
106 - 113
No. of plants
13
50
29
34
33
41
(iii)
Height (in cm)
66 - 73
74 - 81
82 - 89
90 - 97
98 - 105
106 - 113
No. of plants
13
41
50
34
33
29
(iv)
Height (in cm)
66 - 73
74 - 81
82 - 89
90 - 97
98 - 105
106 - 113
No. of plants
13
29
50
34
33
41
(v)
Height (in cm)
66 - 73
74 - 81
82 - 89
90 - 97
98 - 105
106 - 113
No. of plants
13
29
50
38
33
41
Question
11
11.
Ages of 140 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 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
46
19
46
5
24
(ii)
Age (in years)
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
46
19
48
5
24
(iii)
Age (in years)
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
46
24
46
5
19
(iv)
Age (in years)
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
46
46
19
5
24
(v)
Age (in years)
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
46
14
46
5
24
Question
12
12.
Ages of 127 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 - 26
27 - 37
38 - 48
49 - 59
60 - 70
71 - 81
No. of students
35
17
12
31
6
31
(ii)
Age (in years)
16 - 26
27 - 37
38 - 48
49 - 59
60 - 70
71 - 81
No. of students
35
31
12
26
6
17
(iii)
Age (in years)
16 - 26
27 - 37
38 - 48
49 - 59
60 - 70
71 - 81
No. of students
35
17
12
26
6
31
(iv)
Age (in years)
16 - 26
27 - 37
38 - 48
49 - 59
60 - 70
71 - 81
No. of students
35
12
17
26
6
31
(v)
Age (in years)
16 - 26
27 - 37
38 - 48
49 - 59
60 - 70
71 - 81
No. of students
35
17
9
26
6
31
Question
13
13.
Scores of 156 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
90 - 100
100 - 110
110 - 120
120 - 130
130 - 140
140 - 150
No. of students
32
49
15
25
22
13
(ii)
Score
90 - 100
100 - 110
110 - 120
120 - 130
130 - 140
140 - 150
No. of students
32
49
15
28
22
13
(iii)
Score
90 - 100
100 - 110
110 - 120
120 - 130
130 - 140
140 - 150
No. of students
32
13
15
25
22
49
(iv)
Score
90 - 100
100 - 110
110 - 120
120 - 130
130 - 140
140 - 150
No. of students
32
15
49
25
22
13
(v)
Score
90 - 100
100 - 110
110 - 120
120 - 130
130 - 140
140 - 150
No. of students
32
49
20
25
22
13
Question
14
14.
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
88 - 96
97 - 105
106 - 114
115 - 123
124 - 132
133 - 141
No. of students
8
34
33
23
30
39
(ii)
Score
88 - 96
97 - 105
106 - 114
115 - 123
124 - 132
133 - 141
No. of students
8
34
36
26
30
39
(iii)
Score
88 - 96
97 - 105
106 - 114
115 - 123
124 - 132
133 - 141
No. of students
8
39
33
26
30
34
(iv)
Score
88 - 96
97 - 105
106 - 114
115 - 123
124 - 132
133 - 141
No. of students
8
34
33
26
30
39
(v)
Score
88 - 96
97 - 105
106 - 114
115 - 123
124 - 132
133 - 141
No. of students
8
33
34
26
30
39
Question
15
15.
Rainfall of 92 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
22 - 30
30 - 38
38 - 46
46 - 54
54 - 62
No. of days
7
39
16
10
5
15
(ii)
Rainfall (in mm)
14 - 22
22 - 30
30 - 38
38 - 46
46 - 54
54 - 62
No. of days
7
15
16
10
5
39
(iii)
Rainfall (in mm)
14 - 22
22 - 30
30 - 38
38 - 46
46 - 54
54 - 62
No. of days
7
39
19
10
5
15
(iv)
Rainfall (in mm)
14 - 22
22 - 30
30 - 38
38 - 46
46 - 54
54 - 62
No. of days
7
39
16
8
5
15
(v)
Rainfall (in mm)
14 - 22
22 - 30
30 - 38
38 - 46
46 - 54
54 - 62
No. of days
7
16
39
10
5
15
Question
16
16.
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 - 18
19 - 28
29 - 38
39 - 48
49 - 58
No. of days
28
19
13
50
16
(ii)
Rainfall (in mm)
9 - 18
19 - 28
29 - 38
39 - 48
49 - 58
No. of days
28
13
21
50
16
(iii)
Rainfall (in mm)
9 - 18
19 - 28
29 - 38
39 - 48
49 - 58
No. of days
28
13
19
50
16
(iv)
Rainfall (in mm)
9 - 18
19 - 28
29 - 38
39 - 48
49 - 58
No. of days
28
18
19
50
16
(v)
Rainfall (in mm)
9 - 18
19 - 28
29 - 38
39 - 48
49 - 58
No. of days
28
16
19
50
13
Question
17
17.
Temperatures of 160 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)
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
No. of days
49
41
26
19
25
(ii)
Temperature (in degree)
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
No. of days
49
41
28
19
25
(iii)
Temperature (in degree)
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
No. of days
49
45
26
19
25
(iv)
Temperature (in degree)
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
No. of days
49
26
41
19
25
(v)
Temperature (in degree)
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
No. of days
49
25
26
19
41
Question
18
18.
Temperatures of 226 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 - 41
42 - 48
49 - 55
56 - 62
63 - 69
70 - 76
77 - 83
No. of days
48
31
19
38
23
27
38
(ii)
Temperature (in degree)
35 - 41
42 - 48
49 - 55
56 - 62
63 - 69
70 - 76
77 - 83
No. of days
48
21
31
38
23
27
38
(iii)
Temperature (in degree)
35 - 41
42 - 48
49 - 55
56 - 62
63 - 69
70 - 76
77 - 83
No. of days
48
31
21
42
23
27
38
(iv)
Temperature (in degree)
35 - 41
42 - 48
49 - 55
56 - 62
63 - 69
70 - 76
77 - 83
No. of days
48
31
21
38
23
27
38
(v)
Temperature (in degree)
35 - 41
42 - 48
49 - 55
56 - 62
63 - 69
70 - 76
77 - 83
No. of days
48
38
21
38
23
27
31
Question
19
19.
Weights of 101 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)
52 - 62
62 - 72
72 - 82
82 - 92
92 - 102
102 - 112
No. of students
14
7
29
12
31
12
(ii)
Weight (in kg)
52 - 62
62 - 72
72 - 82
82 - 92
92 - 102
102 - 112
No. of students
14
7
25
15
31
12
(iii)
Weight (in kg)
52 - 62
62 - 72
72 - 82
82 - 92
92 - 102
102 - 112
No. of students
14
12
25
12
31
7
(iv)
Weight (in kg)
52 - 62
62 - 72
72 - 82
82 - 92
92 - 102
102 - 112
No. of students
14
25
7
12
31
12
(v)
Weight (in kg)
52 - 62
62 - 72
72 - 82
82 - 92
92 - 102
102 - 112
No. of students
14
7
25
12
31
12
Question
20
20.
Weights of 112 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
56 - 61
62 - 67
68 - 73
74 - 79
No. of students
18
5
14
33
42
(ii)
Weight (in kg)
50 - 55
56 - 61
62 - 67
68 - 73
74 - 79
No. of students
18
42
14
33
5
(iii)
Weight (in kg)
50 - 55
56 - 61
62 - 67
68 - 73
74 - 79
No. of students
18
14
42
33
5
(iv)
Weight (in kg)
50 - 55
56 - 61
62 - 67
68 - 73
74 - 79
No. of students
18
47
14
33
5
(v)
Weight (in kg)
50 - 55
56 - 61
62 - 67
68 - 73
74 - 79
No. of students
18
42
10
33
5
Question
21
21.
Daily wages of 213 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)
298 - 305
305 - 312
312 - 319
319 - 326
326 - 333
333 - 340
340 - 347
No. of labourers
38
19
49
32
14
36
25
(ii)
Daily wage(in Rs)
298 - 305
305 - 312
312 - 319
319 - 326
326 - 333
333 - 340
340 - 347
No. of labourers
38
25
49
27
14
36
19
(iii)
Daily wage(in Rs)
298 - 305
305 - 312
312 - 319
319 - 326
326 - 333
333 - 340
340 - 347
No. of labourers
38
25
49
32
14
36
19
(iv)
Daily wage(in Rs)
298 - 305
305 - 312
312 - 319
319 - 326
326 - 333
333 - 340
340 - 347
No. of labourers
38
49
25
32
14
36
19
(v)
Daily wage(in Rs)
298 - 305
305 - 312
312 - 319
319 - 326
326 - 333
333 - 340
340 - 347
No. of labourers
38
25
46
32
14
36
19
Question
22
22.
Daily wages of 154 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)
241 - 246
247 - 252
253 - 258
259 - 264
265 - 270
271 - 276
No. of labourers
31
25
16
50
15
17
(ii)
Daily wage(in Rs)
241 - 246
247 - 252
253 - 258
259 - 264
265 - 270
271 - 276
No. of labourers
31
17
16
54
15
25
(iii)
Daily wage(in Rs)
241 - 246
247 - 252
253 - 258
259 - 264
265 - 270
271 - 276
No. of labourers
31
17
12
50
15
25
(iv)
Daily wage(in Rs)
241 - 246
247 - 252
253 - 258
259 - 264
265 - 270
271 - 276
No. of labourers
31
16
17
50
15
25
(v)
Daily wage(in Rs)
241 - 246
247 - 252
253 - 258
259 - 264
265 - 270
271 - 276
No. of labourers
31
17
16
50
15
25
Assignment Key
1) (v)
2) (ii)
3) (iii)
4) (v)
5) (iii)
6) (iv)
7) (ii)
8) (i)
9) (iv)
10) (iv)
11) (i)
12) (iii)
13) (i)
14) (iv)
15) (i)
16) (iii)
17) (i)
18) (iv)
19) (v)
20) (ii)
21) (iii)
22) (v)