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
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
Frequency
20
55
31
30
76
75
45
77
(ii)
Class-Interval
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
Frequency
20
55
30
31
76
75
45
77
(iii)
Class-Interval
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
Frequency
20
55
28
31
76
75
45
77
(iv)
Class-Interval
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
Frequency
20
77
30
31
76
75
45
55
(v)
Class-Interval
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
Frequency
20
55
30
31
78
75
45
77
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)
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
No. of doctors
42
22
19
42
37
(ii)
Age (in years)
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
No. of doctors
42
19
22
42
37
(iii)
Age (in years)
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
No. of doctors
42
22
14
42
37
(iv)
Age (in years)
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
No. of doctors
42
37
19
42
22
(v)
Age (in years)
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
No. of doctors
42
17
19
42
37
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)
178 - 188
188 - 198
198 - 208
208 - 218
218 - 228
228 - 238
No. of weeks
8
9
8
9
8
5
(ii)
Cost of living index (in rupees)
178 - 188
188 - 198
198 - 208
208 - 218
218 - 228
228 - 238
No. of weeks
8
5
8
13
8
9
(iii)
Cost of living index (in rupees)
178 - 188
188 - 198
198 - 208
208 - 218
218 - 228
228 - 238
No. of weeks
8
5
8
9
8
9
(iv)
Cost of living index (in rupees)
178 - 188
188 - 198
198 - 208
208 - 218
218 - 228
228 - 238
No. of weeks
8
8
5
9
8
9
(v)
Cost of living index (in rupees)
178 - 188
188 - 198
198 - 208
208 - 218
218 - 228
228 - 238
No. of weeks
8
5
4
9
8
9
Question
4
4.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
36 - 41
42 - 47
48 - 53
54 - 59
60 - 65
66 - 71
72 - 77
78 - 83
Frequency
10
64
32
84
75
34
41
62
(ii)
Class-Interval
36 - 41
42 - 47
48 - 53
54 - 59
60 - 65
66 - 71
72 - 77
78 - 83
Frequency
10
62
32
84
73
34
41
64
(iii)
Class-Interval
36 - 41
42 - 47
48 - 53
54 - 59
60 - 65
66 - 71
72 - 77
78 - 83
Frequency
10
62
84
32
75
34
41
64
(iv)
Class-Interval
36 - 41
42 - 47
48 - 53
54 - 59
60 - 65
66 - 71
72 - 77
78 - 83
Frequency
10
62
34
84
75
34
41
64
(v)
Class-Interval
36 - 41
42 - 47
48 - 53
54 - 59
60 - 65
66 - 71
72 - 77
78 - 83
Frequency
10
62
32
84
75
34
41
64
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 - 33
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
No. of doctors
18
42
37
29
14
26
(ii)
Age (in years)
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
No. of doctors
18
42
37
26
14
26
(iii)
Age (in years)
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
No. of doctors
18
37
42
26
14
26
(iv)
Age (in years)
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
No. of doctors
18
42
40
26
14
26
(v)
Age (in years)
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
No. of doctors
18
26
37
26
14
42
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)
175 - 181
182 - 188
189 - 195
196 - 202
203 - 209
210 - 216
No. of weeks
6
8
8
5
7
9
(ii)
Cost of living index (in rupees)
175 - 181
182 - 188
189 - 195
196 - 202
203 - 209
210 - 216
No. of weeks
6
9
8
5
7
8
(iii)
Cost of living index (in rupees)
175 - 181
182 - 188
189 - 195
196 - 202
203 - 209
210 - 216
No. of weeks
6
8
8
3
7
9
(iv)
Cost of living index (in rupees)
175 - 181
182 - 188
189 - 195
196 - 202
203 - 209
210 - 216
No. of weeks
6
8
6
5
7
9
Question
7
7.
Heights of 145 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 - 136
136 - 143
143 - 150
150 - 157
157 - 164
164 - 171
No. of students
40
25
10
10
25
35
(ii)
Height (in cm)
129 - 136
136 - 143
143 - 150
150 - 157
157 - 164
164 - 171
No. of students
40
35
25
10
25
10
(iii)
Height (in cm)
129 - 136
136 - 143
143 - 150
150 - 157
157 - 164
164 - 171
No. of students
40
10
25
10
25
35
(iv)
Height (in cm)
129 - 136
136 - 143
143 - 150
150 - 157
157 - 164
164 - 171
No. of students
40
10
25
12
25
35
(v)
Height (in cm)
129 - 136
136 - 143
143 - 150
150 - 157
157 - 164
164 - 171
No. of students
40
10
23
10
25
35
Question
8
8.
Heights of 120 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)
125 - 130
131 - 136
137 - 142
143 - 148
149 - 154
155 - 160
No. of students
13
18
34
41
5
13
(ii)
Height (in cm)
125 - 130
131 - 136
137 - 142
143 - 148
149 - 154
155 - 160
No. of students
13
18
34
37
5
13
(iii)
Height (in cm)
125 - 130
131 - 136
137 - 142
143 - 148
149 - 154
155 - 160
No. of students
13
34
18
37
5
13
(iv)
Height (in cm)
125 - 130
131 - 136
137 - 142
143 - 148
149 - 154
155 - 160
No. of students
13
13
34
37
5
18
(v)
Height (in cm)
125 - 130
131 - 136
137 - 142
143 - 148
149 - 154
155 - 160
No. of students
13
18
38
37
5
13
Question
9
9.
Heights of 201 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)
59 - 67
67 - 75
75 - 83
83 - 91
91 - 99
99 - 107
107 - 115
No. of plants
33
21
21
22
37
14
50
(ii)
Height (in cm)
59 - 67
67 - 75
75 - 83
83 - 91
91 - 99
99 - 107
107 - 115
No. of plants
33
50
21
25
37
14
21
(iii)
Height (in cm)
59 - 67
67 - 75
75 - 83
83 - 91
91 - 99
99 - 107
107 - 115
No. of plants
33
21
21
25
37
14
50
(iv)
Height (in cm)
59 - 67
67 - 75
75 - 83
83 - 91
91 - 99
99 - 107
107 - 115
No. of plants
33
21
23
25
37
14
50
Question
10
10.
Heights of 208 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 - 72
73 - 83
84 - 94
95 - 105
106 - 116
117 - 127
128 - 138
139 - 149
No. of plants
20
39
14
5
47
12
43
28
(ii)
Height (in cm)
62 - 72
73 - 83
84 - 94
95 - 105
106 - 116
117 - 127
128 - 138
139 - 149
No. of plants
20
28
5
14
47
12
43
39
(iii)
Height (in cm)
62 - 72
73 - 83
84 - 94
95 - 105
106 - 116
117 - 127
128 - 138
139 - 149
No. of plants
20
39
5
14
45
12
43
28
(iv)
Height (in cm)
62 - 72
73 - 83
84 - 94
95 - 105
106 - 116
117 - 127
128 - 138
139 - 149
No. of plants
20
39
7
14
47
12
43
28
(v)
Height (in cm)
62 - 72
73 - 83
84 - 94
95 - 105
106 - 116
117 - 127
128 - 138
139 - 149
No. of plants
20
39
5
14
47
12
43
28
Question
11
11.
Ages of 186 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 - 19
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
No. of students
43
9
42
25
25
7
40
(ii)
Age (in years)
12 - 19
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
No. of students
43
42
9
20
25
7
40
(iii)
Age (in years)
12 - 19
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
No. of students
43
9
42
20
25
7
40
(iv)
Age (in years)
12 - 19
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
No. of students
43
9
46
20
25
7
40
(v)
Age (in years)
12 - 19
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
No. of students
43
40
42
20
25
7
9
Question
12
12.
Ages of 198 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 - 22
23 - 29
30 - 36
37 - 43
44 - 50
51 - 57
58 - 64
No. of students
35
7
41
36
16
31
30
(ii)
Age (in years)
16 - 22
23 - 29
30 - 36
37 - 43
44 - 50
51 - 57
58 - 64
No. of students
35
7
43
36
16
31
30
(iii)
Age (in years)
16 - 22
23 - 29
30 - 36
37 - 43
44 - 50
51 - 57
58 - 64
No. of students
35
30
43
36
16
31
7
(iv)
Age (in years)
16 - 22
23 - 29
30 - 36
37 - 43
44 - 50
51 - 57
58 - 64
No. of students
35
7
43
40
16
31
30
(v)
Age (in years)
16 - 22
23 - 29
30 - 36
37 - 43
44 - 50
51 - 57
58 - 64
No. of students
35
43
7
36
16
31
30
Question
13
13.
Scores of 82 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
No. of students
5
25
44
7
6
(ii)
Score
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
No. of students
5
20
44
7
6
(iii)
Score
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
No. of students
5
44
20
7
6
(iv)
Score
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
No. of students
5
6
44
7
20
(v)
Score
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
No. of students
5
20
49
7
6
Question
14
14.
Scores of 187 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
90 - 97
98 - 105
106 - 113
114 - 121
122 - 129
130 - 137
138 - 145
No. of students
26
18
44
42
12
19
26
(ii)
Score
90 - 97
98 - 105
106 - 113
114 - 121
122 - 129
130 - 137
138 - 145
No. of students
26
44
23
42
12
19
26
(iii)
Score
90 - 97
98 - 105
106 - 113
114 - 121
122 - 129
130 - 137
138 - 145
No. of students
26
26
18
42
12
19
44
(iv)
Score
90 - 97
98 - 105
106 - 113
114 - 121
122 - 129
130 - 137
138 - 145
No. of students
26
44
18
42
12
19
26
(v)
Score
90 - 97
98 - 105
106 - 113
114 - 121
122 - 129
130 - 137
138 - 145
No. of students
26
44
18
45
12
19
26
Question
15
15.
Rainfall of 203 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 - 16
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
No. of days
41
37
40
41
6
33
(ii)
Rainfall (in mm)
8 - 16
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
No. of days
41
33
45
41
6
37
(iii)
Rainfall (in mm)
8 - 16
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
No. of days
41
37
45
41
6
33
(iv)
Rainfall (in mm)
8 - 16
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
No. of days
41
45
37
41
6
33
(v)
Rainfall (in mm)
8 - 16
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
No. of days
41
37
45
44
6
33
Question
16
16.
Rainfall of 141 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)
5 - 15
16 - 26
27 - 37
38 - 48
49 - 59
No. of days
48
33
22
26
12
(ii)
Rainfall (in mm)
5 - 15
16 - 26
27 - 37
38 - 48
49 - 59
No. of days
48
14
22
26
33
(iii)
Rainfall (in mm)
5 - 15
16 - 26
27 - 37
38 - 48
49 - 59
No. of days
48
22
12
26
33
(iv)
Rainfall (in mm)
5 - 15
16 - 26
27 - 37
38 - 48
49 - 59
No. of days
48
12
19
26
33
(v)
Rainfall (in mm)
5 - 15
16 - 26
27 - 37
38 - 48
49 - 59
No. of days
48
12
22
26
33
Question
17
17.
Temperatures of 211 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 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
No. of days
39
14
49
34
29
30
9
7
(ii)
Temperature (in degree)
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
No. of days
39
7
49
34
29
30
9
14
(iii)
Temperature (in degree)
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
No. of days
39
14
51
34
29
30
9
7
(iv)
Temperature (in degree)
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
No. of days
39
14
49
34
25
30
9
7
(v)
Temperature (in degree)
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
No. of days
39
14
34
49
29
30
9
7
Question
18
18.
Temperatures of 97 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
No. of days
27
11
38
8
13
(ii)
Temperature (in degree)
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
No. of days
27
38
11
8
13
(iii)
Temperature (in degree)
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
No. of days
27
6
38
8
13
(iv)
Temperature (in degree)
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
No. of days
27
11
36
8
13
(v)
Temperature (in degree)
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
No. of days
27
13
38
8
11
Question
19
19.
Weights of 144 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)
49 - 55
55 - 61
61 - 67
67 - 73
73 - 79
No. of students
7
34
25
41
42
(ii)
Weight (in kg)
49 - 55
55 - 61
61 - 67
67 - 73
73 - 79
No. of students
7
29
25
41
42
(iii)
Weight (in kg)
49 - 55
55 - 61
61 - 67
67 - 73
73 - 79
No. of students
7
25
29
41
42
(iv)
Weight (in kg)
49 - 55
55 - 61
61 - 67
67 - 73
73 - 79
No. of students
7
29
29
41
42
(v)
Weight (in kg)
49 - 55
55 - 61
61 - 67
67 - 73
73 - 79
No. of students
7
42
25
41
29
Question
20
20.
Weights of 158 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)
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
110 - 119
No. of students
28
17
47
32
17
17
(ii)
Weight (in kg)
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
110 - 119
No. of students
28
47
17
32
17
17
(iii)
Weight (in kg)
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
110 - 119
No. of students
28
17
45
32
17
17
(iv)
Weight (in kg)
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
110 - 119
No. of students
28
17
47
35
17
17
Question
21
21.
Daily wages of 159 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)
288 - 298
298 - 308
308 - 318
318 - 328
328 - 338
338 - 348
No. of labourers
50
38
10
40
7
10
(ii)
Daily wage(in Rs)
288 - 298
298 - 308
308 - 318
318 - 328
328 - 338
338 - 348
No. of labourers
50
38
14
40
7
10
(iii)
Daily wage(in Rs)
288 - 298
298 - 308
308 - 318
318 - 328
328 - 338
338 - 348
No. of labourers
50
38
14
38
7
10
(iv)
Daily wage(in Rs)
288 - 298
298 - 308
308 - 318
318 - 328
328 - 338
338 - 348
No. of labourers
50
10
14
40
7
38
(v)
Daily wage(in Rs)
288 - 298
298 - 308
308 - 318
318 - 328
328 - 338
338 - 348
No. of labourers
50
14
38
40
7
10
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)
259 - 266
267 - 274
275 - 282
283 - 290
291 - 298
No. of labourers
28
18
28
8
16
(ii)
Daily wage(in Rs)
259 - 266
267 - 274
275 - 282
283 - 290
291 - 298
No. of labourers
28
18
31
8
16
(iii)
Daily wage(in Rs)
259 - 266
267 - 274
275 - 282
283 - 290
291 - 298
No. of labourers
28
31
18
8
16
(iv)
Daily wage(in Rs)
259 - 266
267 - 274
275 - 282
283 - 290
291 - 298
No. of labourers
28
15
31
8
16
(v)
Daily wage(in Rs)
259 - 266
267 - 274
275 - 282
283 - 290
291 - 298
No. of labourers
28
16
31
8
18
Assignment Key
1) (ii)
2) (i)
3) (iii)
4) (v)
5) (ii)
6) (i)
7) (iii)
8) (ii)
9) (iii)
10) (v)
11) (iii)
12) (ii)
13) (ii)
14) (iv)
15) (iii)
16) (v)
17) (i)
18) (i)
19) (ii)
20) (i)
21) (ii)
22) (ii)