EduSahara™ Assignment
Name : Frequency Polygon
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 frequency polygon.
(i)
Class-Interval
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
97 - 107
Frequency
38
49
29
24
21
15
(ii)
Class-Interval
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
97 - 107
Frequency
38
29
49
29
21
15
(iii)
Class-Interval
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
97 - 107
Frequency
38
15
49
24
21
29
(iv)
Class-Interval
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
97 - 107
Frequency
38
29
49
24
21
15
(v)
Class-Interval
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
97 - 107
Frequency
38
29
47
24
21
15
Question
2
2.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
Frequency
49
48
37
34
35
(ii)
Class-Interval
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
Frequency
49
41
48
34
35
(iii)
Class-Interval
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
Frequency
49
37
48
34
35
(iv)
Class-Interval
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
Frequency
49
37
46
34
35
(v)
Class-Interval
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
Frequency
49
35
48
34
37
Question
3
3.
Given frequency polygon showing the number of heart patients at various age groups, identify the class interval table.
(i)
Age (in years)
31 - 35
36 - 40
41 - 45
46 - 50
51 - 55
56 - 60
No. of heart patients
21
15
13
33
8
22
(ii)
Age (in years)
31 - 35
36 - 40
41 - 45
46 - 50
51 - 55
56 - 60
No. of heart patients
21
22
13
30
8
15
(iii)
Age (in years)
31 - 35
36 - 40
41 - 45
46 - 50
51 - 55
56 - 60
No. of heart patients
21
15
13
30
8
22
(iv)
Age (in years)
31 - 35
36 - 40
41 - 45
46 - 50
51 - 55
56 - 60
No. of heart patients
21
13
15
30
8
22
(v)
Age (in years)
31 - 35
36 - 40
41 - 45
46 - 50
51 - 55
56 - 60
No. of heart patients
21
15
16
30
8
22
Question
4
4.
Given frequency polygon showing the number of heart patients at various age groups, identify the class interval table.
(i)
Age (in years)
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
No. of heart patients
13
13
16
28
8
(ii)
Age (in years)
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
No. of heart patients
13
8
16
28
9
(iii)
Age (in years)
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
No. of heart patients
13
9
14
28
8
(iv)
Age (in years)
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
No. of heart patients
13
16
9
28
8
(v)
Age (in years)
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
No. of heart patients
13
9
16
28
8
Question
5
5.
Heights of 214 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
123 - 133
133 - 143
143 - 153
153 - 163
163 - 173
No. of students
40
49
38
44
45
(ii)
Height (in cm)
123 - 133
133 - 143
143 - 153
153 - 163
163 - 173
No. of students
40
52
36
44
45
(iii)
Height (in cm)
123 - 133
133 - 143
143 - 153
153 - 163
163 - 173
No. of students
40
36
49
44
45
(iv)
Height (in cm)
123 - 133
133 - 143
143 - 153
153 - 163
163 - 173
No. of students
40
45
36
44
49
(v)
Height (in cm)
123 - 133
133 - 143
143 - 153
153 - 163
163 - 173
No. of students
40
49
36
44
45
Question
6
6.
Heights of 158 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
124 - 134
135 - 145
146 - 156
157 - 167
168 - 178
No. of students
41
49
39
8
19
(ii)
Height (in cm)
124 - 134
135 - 145
146 - 156
157 - 167
168 - 178
No. of students
41
49
41
8
19
(iii)
Height (in cm)
124 - 134
135 - 145
146 - 156
157 - 167
168 - 178
No. of students
41
41
49
8
19
(iv)
Height (in cm)
124 - 134
135 - 145
146 - 156
157 - 167
168 - 178
No. of students
41
46
41
8
19
(v)
Height (in cm)
124 - 134
135 - 145
146 - 156
157 - 167
168 - 178
No. of students
41
19
41
8
49
Question
7
7.
Heights of 174 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
61 - 70
70 - 79
79 - 88
88 - 97
97 - 106
106 - 115
No. of plants
37
14
43
38
25
17
(ii)
Height (in cm)
61 - 70
70 - 79
79 - 88
88 - 97
97 - 106
106 - 115
No. of plants
37
43
14
38
25
17
(iii)
Height (in cm)
61 - 70
70 - 79
79 - 88
88 - 97
97 - 106
106 - 115
No. of plants
37
17
43
38
25
14
(iv)
Height (in cm)
61 - 70
70 - 79
79 - 88
88 - 97
97 - 106
106 - 115
No. of plants
37
14
43
36
25
17
(v)
Height (in cm)
61 - 70
70 - 79
79 - 88
88 - 97
97 - 106
106 - 115
No. of plants
37
14
38
38
25
17
Question
8
8.
Heights of 152 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
58 - 66
67 - 75
76 - 84
85 - 93
94 - 102
103 - 111
No. of plants
35
18
35
29
11
21
(ii)
Height (in cm)
58 - 66
67 - 75
76 - 84
85 - 93
94 - 102
103 - 111
No. of plants
35
18
38
29
11
21
(iii)
Height (in cm)
58 - 66
67 - 75
76 - 84
85 - 93
94 - 102
103 - 111
No. of plants
35
38
18
29
11
21
(iv)
Height (in cm)
58 - 66
67 - 75
76 - 84
85 - 93
94 - 102
103 - 111
No. of plants
35
18
38
32
11
21
(v)
Height (in cm)
58 - 66
67 - 75
76 - 84
85 - 93
94 - 102
103 - 111
No. of plants
35
21
38
29
11
18
Question
9
9.
Ages of 206 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
No. of students
39
37
28
32
23
47
(ii)
Age (in years)
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
No. of students
39
47
28
32
23
37
(iii)
Age (in years)
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
No. of students
39
28
37
32
23
47
(iv)
Age (in years)
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
No. of students
39
37
28
27
23
47
(v)
Age (in years)
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
No. of students
39
37
32
32
23
47
Question
10
10.
Ages of 228 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
15 - 20
21 - 26
27 - 32
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
No. of students
8
49
18
47
41
29
11
25
(ii)
Age (in years)
15 - 20
21 - 26
27 - 32
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
No. of students
8
49
47
18
46
29
11
25
(iii)
Age (in years)
15 - 20
21 - 26
27 - 32
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
No. of students
8
25
47
18
41
29
11
49
(iv)
Age (in years)
15 - 20
21 - 26
27 - 32
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
No. of students
8
49
43
18
41
29
11
25
(v)
Age (in years)
15 - 20
21 - 26
27 - 32
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
No. of students
8
49
47
18
41
29
11
25
Question
11
11.
Scores of 211 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
71 - 80
80 - 89
89 - 98
98 - 107
107 - 116
116 - 125
No. of students
46
13
28
34
45
45
(ii)
Score
71 - 80
80 - 89
89 - 98
98 - 107
107 - 116
116 - 125
No. of students
46
13
25
34
45
45
(iii)
Score
71 - 80
80 - 89
89 - 98
98 - 107
107 - 116
116 - 125
No. of students
46
28
13
34
45
45
(iv)
Score
71 - 80
80 - 89
89 - 98
98 - 107
107 - 116
116 - 125
No. of students
46
45
28
34
45
13
(v)
Score
71 - 80
80 - 89
89 - 98
98 - 107
107 - 116
116 - 125
No. of students
46
13
28
36
45
45
Question
12
12.
Scores of 165 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
86 - 95
96 - 105
106 - 115
116 - 125
126 - 135
136 - 145
146 - 155
No. of students
18
13
48
26
40
5
20
(ii)
Score
86 - 95
96 - 105
106 - 115
116 - 125
126 - 135
136 - 145
146 - 155
No. of students
18
20
48
21
40
5
13
(iii)
Score
86 - 95
96 - 105
106 - 115
116 - 125
126 - 135
136 - 145
146 - 155
No. of students
18
48
13
21
40
5
20
(iv)
Score
86 - 95
96 - 105
106 - 115
116 - 125
126 - 135
136 - 145
146 - 155
No. of students
18
13
45
21
40
5
20
(v)
Score
86 - 95
96 - 105
106 - 115
116 - 125
126 - 135
136 - 145
146 - 155
No. of students
18
13
48
21
40
5
20
Question
13
13.
Rainfall of 264 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
9 - 19
19 - 29
29 - 39
39 - 49
49 - 59
59 - 69
69 - 79
79 - 89
No. of days
46
6
10
39
43
35
47
38
(ii)
Rainfall (in mm)
9 - 19
19 - 29
29 - 39
39 - 49
49 - 59
59 - 69
69 - 79
79 - 89
No. of days
46
6
5
39
43
35
47
38
(iii)
Rainfall (in mm)
9 - 19
19 - 29
29 - 39
39 - 49
49 - 59
59 - 69
69 - 79
79 - 89
No. of days
46
6
39
10
43
35
47
38
(iv)
Rainfall (in mm)
9 - 19
19 - 29
29 - 39
39 - 49
49 - 59
59 - 69
69 - 79
79 - 89
No. of days
46
6
10
39
48
35
47
38
(v)
Rainfall (in mm)
9 - 19
19 - 29
29 - 39
39 - 49
49 - 59
59 - 69
69 - 79
79 - 89
No. of days
46
38
10
39
43
35
47
6
Question
14
14.
Rainfall of 196 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
6 - 13
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
No. of days
43
10
34
50
18
36
(ii)
Rainfall (in mm)
6 - 13
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
No. of days
43
10
39
50
18
36
(iii)
Rainfall (in mm)
6 - 13
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
No. of days
43
10
39
46
18
36
(iv)
Rainfall (in mm)
6 - 13
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
No. of days
43
36
39
50
18
10
(v)
Rainfall (in mm)
6 - 13
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
No. of days
43
39
10
50
18
36
Question
15
15.
Temperatures of 244 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
34 - 40
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
No. of days
30
50
42
25
45
47
(ii)
Temperature (in degree)
34 - 40
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
No. of days
30
50
47
29
45
47
(iii)
Temperature (in degree)
34 - 40
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
No. of days
30
47
47
25
45
50
(iv)
Temperature (in degree)
34 - 40
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
No. of days
30
50
47
25
45
47
(v)
Temperature (in degree)
34 - 40
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
No. of days
30
47
50
25
45
47
Question
16
16.
Temperatures of 220 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
96 - 106
107 - 117
No. of days
17
30
45
19
29
27
11
38
(ii)
Temperature (in degree)
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
96 - 106
107 - 117
No. of days
17
38
45
19
33
27
11
30
(iii)
Temperature (in degree)
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
96 - 106
107 - 117
No. of days
17
30
19
45
33
27
11
38
(iv)
Temperature (in degree)
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
96 - 106
107 - 117
No. of days
17
30
42
19
33
27
11
38
(v)
Temperature (in degree)
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
96 - 106
107 - 117
No. of days
17
30
45
19
33
27
11
38
Question
17
17.
Weights of 139 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
51 - 60
60 - 69
69 - 78
78 - 87
87 - 96
No. of students
42
11
44
17
25
(ii)
Weight (in kg)
51 - 60
60 - 69
69 - 78
78 - 87
87 - 96
No. of students
42
44
25
17
11
(iii)
Weight (in kg)
51 - 60
60 - 69
69 - 78
78 - 87
87 - 96
No. of students
42
25
44
17
11
(iv)
Weight (in kg)
51 - 60
60 - 69
69 - 78
78 - 87
87 - 96
No. of students
42
28
44
17
11
(v)
Weight (in kg)
51 - 60
60 - 69
69 - 78
78 - 87
87 - 96
No. of students
42
25
40
17
11
Question
18
18.
Weights of 211 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
48 - 53
54 - 59
60 - 65
66 - 71
72 - 77
78 - 83
84 - 89
90 - 95
No. of students
48
19
38
28
16
6
35
25
(ii)
Weight (in kg)
48 - 53
54 - 59
60 - 65
66 - 71
72 - 77
78 - 83
84 - 89
90 - 95
No. of students
48
25
38
28
12
6
35
19
(iii)
Weight (in kg)
48 - 53
54 - 59
60 - 65
66 - 71
72 - 77
78 - 83
84 - 89
90 - 95
No. of students
48
19
40
28
12
6
35
25
(iv)
Weight (in kg)
48 - 53
54 - 59
60 - 65
66 - 71
72 - 77
78 - 83
84 - 89
90 - 95
No. of students
48
19
28
38
12
6
35
25
(v)
Weight (in kg)
48 - 53
54 - 59
60 - 65
66 - 71
72 - 77
78 - 83
84 - 89
90 - 95
No. of students
48
19
38
28
12
6
35
25
Question
19
19.
Daily wages of 244 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
273 - 282
282 - 291
291 - 300
300 - 309
309 - 318
318 - 327
327 - 336
No. of labourers
40
9
35
35
50
46
26
(ii)
Daily wage (in Rs)
273 - 282
282 - 291
291 - 300
300 - 309
309 - 318
318 - 327
327 - 336
No. of labourers
40
9
38
40
50
46
26
(iii)
Daily wage (in Rs)
273 - 282
282 - 291
291 - 300
300 - 309
309 - 318
318 - 327
327 - 336
No. of labourers
40
38
9
35
50
46
26
(iv)
Daily wage (in Rs)
273 - 282
282 - 291
291 - 300
300 - 309
309 - 318
318 - 327
327 - 336
No. of labourers
40
26
38
35
50
46
9
(v)
Daily wage (in Rs)
273 - 282
282 - 291
291 - 300
300 - 309
309 - 318
318 - 327
327 - 336
No. of labourers
40
9
38
35
50
46
26
Question
20
20.
Daily wages of 186 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
236 - 246
247 - 257
258 - 268
269 - 279
280 - 290
291 - 301
302 - 312
313 - 323
No. of labourers
24
24
5
24
19
48
32
5
(ii)
Daily wage (in Rs)
236 - 246
247 - 257
258 - 268
269 - 279
280 - 290
291 - 301
302 - 312
313 - 323
No. of labourers
24
24
5
24
24
48
32
5
(iii)
Daily wage (in Rs)
236 - 246
247 - 257
258 - 268
269 - 279
280 - 290
291 - 301
302 - 312
313 - 323
No. of labourers
24
24
2
24
24
48
32
5
(iv)
Daily wage (in Rs)
236 - 246
247 - 257
258 - 268
269 - 279
280 - 290
291 - 301
302 - 312
313 - 323
No. of labourers
24
24
24
5
24
48
32
5
(v)
Daily wage (in Rs)
236 - 246
247 - 257
258 - 268
269 - 279
280 - 290
291 - 301
302 - 312
313 - 323
No. of labourers
24
5
5
24
24
48
32
24
Assignment Key
1) (iv)
2) (iii)
3) (iii)
4) (v)
5) (v)
6) (ii)
7) (i)
8) (ii)
9) (i)
10) (v)
11) (i)
12) (v)
13) (i)
14) (ii)
15) (iv)
16) (v)
17) (iii)
18) (v)
19) (v)
20) (ii)