EduSahara™ Assignment
Name : Frequency Polygon
Chapter : Frequency Distribution Tables and Graphs
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
The frequency polygon is one drawn using
(i)
lower boundaries of classes and greater than cumulative frequencies
(ii)
mid point of classes and frequencies
(iii)
end points of classes and frequencies
(iv)
upper boundaries of classes and cumulative frequencies
Question
2
2.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
22 - 32
33 - 43
44 - 54
55 - 65
66 - 76
Frequency
23
31
47
38
30
(ii)
Class-Interval
22 - 32
33 - 43
44 - 54
55 - 65
66 - 76
Frequency
23
47
31
38
30
(iii)
Class-Interval
22 - 32
33 - 43
44 - 54
55 - 65
66 - 76
Frequency
23
28
47
38
30
(iv)
Class-Interval
22 - 32
33 - 43
44 - 54
55 - 65
66 - 76
Frequency
23
30
47
38
31
(v)
Class-Interval
22 - 32
33 - 43
44 - 54
55 - 65
66 - 76
Frequency
23
31
44
38
30
Question
3
3.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
Frequency
17
32
26
48
41
26
44
(ii)
Class-Interval
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
Frequency
17
32
26
50
41
26
44
(iii)
Class-Interval
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
Frequency
17
26
32
50
41
26
44
(iv)
Class-Interval
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
Frequency
17
44
26
50
41
26
32
(v)
Class-Interval
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
Frequency
17
32
31
50
41
26
44
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)
49 - 56
57 - 64
65 - 72
73 - 80
81 - 88
No. of heart patients
7
22
11
7
11
(ii)
Age (in years)
49 - 56
57 - 64
65 - 72
73 - 80
81 - 88
No. of heart patients
7
11
19
7
11
(iii)
Age (in years)
49 - 56
57 - 64
65 - 72
73 - 80
81 - 88
No. of heart patients
7
11
22
7
11
(iv)
Age (in years)
49 - 56
57 - 64
65 - 72
73 - 80
81 - 88
No. of heart patients
7
15
22
7
11
Question
5
5.
Given frequency polygon showing the number of heart patients at various age groups, identify the class interval table.
(i)
Age (in years)
36 - 45
45 - 54
54 - 63
63 - 72
72 - 81
No. of heart patients
5
2
7
17
16
(ii)
Age (in years)
36 - 45
45 - 54
54 - 63
63 - 72
72 - 81
No. of heart patients
5
16
7
17
7
(iii)
Age (in years)
36 - 45
45 - 54
54 - 63
63 - 72
72 - 81
No. of heart patients
5
7
7
17
16
(iv)
Age (in years)
36 - 45
45 - 54
54 - 63
63 - 72
72 - 81
No. of heart patients
5
7
10
17
16
Question
6
6.
Marks obtained by 128 students of a class in an examination are given below.
Identify the class interval table for the given frequency polygon.
(i)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
13
30
24
29
17
7
8
(ii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
13
24
30
27
17
7
8
(iii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
13
24
34
29
17
7
8
(iv)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
13
24
30
29
17
7
8
(v)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
13
8
30
29
17
7
24
Question
7
7.
The daily pocket expenses of 154 students in a school are given below.
Identify the class interval table for the given frequency polygon.
(i)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
22
30
23
20
22
15
22
(ii)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
22
30
23
25
22
15
22
(iii)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
22
22
23
20
22
15
30
(iv)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
22
30
19
20
22
15
22
(v)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
22
23
30
20
22
15
22
Question
8
8.
Heights of 197 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
120 - 129
129 - 138
138 - 147
147 - 156
156 - 165
165 - 174
174 - 183
183 - 192
No. of students
20
30
42
45
13
9
13
27
(ii)
Height (in cm)
120 - 129
129 - 138
138 - 147
147 - 156
156 - 165
165 - 174
174 - 183
183 - 192
No. of students
20
30
38
45
11
9
13
27
(iii)
Height (in cm)
120 - 129
129 - 138
138 - 147
147 - 156
156 - 165
165 - 174
174 - 183
183 - 192
No. of students
20
30
42
45
11
9
13
27
(iv)
Height (in cm)
120 - 129
129 - 138
138 - 147
147 - 156
156 - 165
165 - 174
174 - 183
183 - 192
No. of students
20
27
42
45
11
9
13
30
(v)
Height (in cm)
120 - 129
129 - 138
138 - 147
147 - 156
156 - 165
165 - 174
174 - 183
183 - 192
No. of students
20
30
45
42
11
9
13
27
Question
9
9.
Heights of 284 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
129 - 137
138 - 146
147 - 155
156 - 164
165 - 173
174 - 182
183 - 191
192 - 200
No. of students
41
32
48
38
19
22
45
44
(ii)
Height (in cm)
129 - 137
138 - 146
147 - 155
156 - 164
165 - 173
174 - 182
183 - 191
192 - 200
No. of students
41
32
43
38
21
22
45
44
(iii)
Height (in cm)
129 - 137
138 - 146
147 - 155
156 - 164
165 - 173
174 - 182
183 - 191
192 - 200
No. of students
41
32
43
38
19
22
45
44
(iv)
Height (in cm)
129 - 137
138 - 146
147 - 155
156 - 164
165 - 173
174 - 182
183 - 191
192 - 200
No. of students
41
32
38
43
19
22
45
44
(v)
Height (in cm)
129 - 137
138 - 146
147 - 155
156 - 164
165 - 173
174 - 182
183 - 191
192 - 200
No. of students
41
44
43
38
19
22
45
32
Question
10
10.
Heights of 156 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
59 - 69
69 - 79
79 - 89
89 - 99
99 - 109
109 - 119
No. of plants
46
9
26
31
5
37
(ii)
Height (in cm)
59 - 69
69 - 79
79 - 89
89 - 99
99 - 109
109 - 119
No. of plants
46
28
9
31
5
37
(iii)
Height (in cm)
59 - 69
69 - 79
79 - 89
89 - 99
99 - 109
109 - 119
No. of plants
46
9
28
31
5
37
(iv)
Height (in cm)
59 - 69
69 - 79
79 - 89
89 - 99
99 - 109
109 - 119
No. of plants
46
9
28
29
5
37
(v)
Height (in cm)
59 - 69
69 - 79
79 - 89
89 - 99
99 - 109
109 - 119
No. of plants
46
37
28
31
5
9
Question
11
11.
Heights of 197 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
56 - 62
63 - 69
70 - 76
77 - 83
84 - 90
91 - 97
98 - 104
No. of plants
28
34
49
10
33
20
25
(ii)
Height (in cm)
56 - 62
63 - 69
70 - 76
77 - 83
84 - 90
91 - 97
98 - 104
No. of plants
28
34
49
8
33
20
25
(iii)
Height (in cm)
56 - 62
63 - 69
70 - 76
77 - 83
84 - 90
91 - 97
98 - 104
No. of plants
28
25
49
8
33
20
34
(iv)
Height (in cm)
56 - 62
63 - 69
70 - 76
77 - 83
84 - 90
91 - 97
98 - 104
No. of plants
28
49
34
8
33
20
25
(v)
Height (in cm)
56 - 62
63 - 69
70 - 76
77 - 83
84 - 90
91 - 97
98 - 104
No. of plants
28
34
47
8
33
20
25
Question
12
12.
Ages of 194 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
No. of students
23
12
49
28
37
45
(ii)
Age (in years)
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
No. of students
23
45
49
24
37
12
(iii)
Age (in years)
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
No. of students
23
45
53
28
37
12
(iv)
Age (in years)
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
No. of students
23
45
49
28
37
12
(v)
Age (in years)
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
No. of students
23
49
45
28
37
12
Question
13
13.
Ages of 169 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
10 - 15
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
46 - 51
No. of students
18
45
27
9
28
34
8
(ii)
Age (in years)
10 - 15
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
46 - 51
No. of students
18
27
8
9
28
34
45
(iii)
Age (in years)
10 - 15
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
46 - 51
No. of students
18
8
27
11
28
34
45
(iv)
Age (in years)
10 - 15
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
46 - 51
No. of students
18
8
32
9
28
34
45
(v)
Age (in years)
10 - 15
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
46 - 51
No. of students
18
8
27
9
28
34
45
Question
14
14.
Scores of 225 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
85 - 91
91 - 97
97 - 103
103 - 109
109 - 115
115 - 121
121 - 127
No. of students
24
50
7
37
38
45
19
(ii)
Score
85 - 91
91 - 97
97 - 103
103 - 109
109 - 115
115 - 121
121 - 127
No. of students
24
50
2
42
38
45
19
(iii)
Score
85 - 91
91 - 97
97 - 103
103 - 109
109 - 115
115 - 121
121 - 127
No. of students
24
50
7
42
38
45
19
(iv)
Score
85 - 91
91 - 97
97 - 103
103 - 109
109 - 115
115 - 121
121 - 127
No. of students
24
19
7
42
38
45
50
(v)
Score
85 - 91
91 - 97
97 - 103
103 - 109
109 - 115
115 - 121
121 - 127
No. of students
24
7
50
42
38
45
19
Question
15
15.
Scores of 148 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
79 - 89
90 - 100
101 - 111
112 - 122
123 - 133
No. of students
40
45
18
7
43
(ii)
Score
79 - 89
90 - 100
101 - 111
112 - 122
123 - 133
No. of students
40
43
18
7
40
(iii)
Score
79 - 89
90 - 100
101 - 111
112 - 122
123 - 133
No. of students
40
18
40
7
43
(iv)
Score
79 - 89
90 - 100
101 - 111
112 - 122
123 - 133
No. of students
40
40
23
7
43
(v)
Score
79 - 89
90 - 100
101 - 111
112 - 122
123 - 133
No. of students
40
40
18
7
43
Question
16
16.
Rainfall of 168 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
No. of days
9
13
31
47
12
32
24
(ii)
Rainfall (in mm)
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
No. of days
9
24
31
50
12
32
13
(iii)
Rainfall (in mm)
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
No. of days
9
24
31
47
12
32
13
(iv)
Rainfall (in mm)
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
No. of days
9
24
29
47
12
32
13
(v)
Rainfall (in mm)
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
No. of days
9
31
24
47
12
32
13
Question
17
17.
Rainfall of 188 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
59 - 65
No. of days
23
39
14
31
48
15
7
13
(ii)
Rainfall (in mm)
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
59 - 65
No. of days
23
39
9
31
46
15
7
13
(iii)
Rainfall (in mm)
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
59 - 65
No. of days
23
39
31
14
46
15
7
13
(iv)
Rainfall (in mm)
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
59 - 65
No. of days
23
39
14
31
46
15
7
13
(v)
Rainfall (in mm)
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
59 - 65
No. of days
23
13
14
31
46
15
7
39
Question
18
18.
Temperatures of 124 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
28 - 35
35 - 42
42 - 49
49 - 56
56 - 63
No. of days
43
43
5
10
27
(ii)
Temperature (in degree)
28 - 35
35 - 42
42 - 49
49 - 56
56 - 63
No. of days
43
39
5
10
27
(iii)
Temperature (in degree)
28 - 35
35 - 42
42 - 49
49 - 56
56 - 63
No. of days
43
39
1
10
27
(iv)
Temperature (in degree)
28 - 35
35 - 42
42 - 49
49 - 56
56 - 63
No. of days
43
27
5
10
39
(v)
Temperature (in degree)
28 - 35
35 - 42
42 - 49
49 - 56
56 - 63
No. of days
43
5
39
10
27
Question
19
19.
Temperatures of 174 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
77 - 82
No. of days
14
25
48
35
26
11
7
8
(ii)
Temperature (in degree)
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
77 - 82
No. of days
14
25
51
35
26
11
7
8
(iii)
Temperature (in degree)
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
77 - 82
No. of days
14
25
35
48
26
11
7
8
(iv)
Temperature (in degree)
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
77 - 82
No. of days
14
25
48
35
22
11
7
8
(v)
Temperature (in degree)
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
77 - 82
No. of days
14
8
48
35
26
11
7
25
Question
20
20.
Weights of 118 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
54 - 63
63 - 72
72 - 81
81 - 90
90 - 99
No. of students
6
19
15
50
28
(ii)
Weight (in kg)
54 - 63
63 - 72
72 - 81
81 - 90
90 - 99
No. of students
6
19
20
50
28
(iii)
Weight (in kg)
54 - 63
63 - 72
72 - 81
81 - 90
90 - 99
No. of students
6
21
15
50
28
(iv)
Weight (in kg)
54 - 63
63 - 72
72 - 81
81 - 90
90 - 99
No. of students
6
28
15
50
19
(v)
Weight (in kg)
54 - 63
63 - 72
72 - 81
81 - 90
90 - 99
No. of students
6
15
19
50
28
Question
21
21.
Weights of 264 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
42 - 48
49 - 55
56 - 62
63 - 69
70 - 76
77 - 83
84 - 90
91 - 97
No. of students
47
40
32
44
35
6
22
38
(ii)
Weight (in kg)
42 - 48
49 - 55
56 - 62
63 - 69
70 - 76
77 - 83
84 - 90
91 - 97
No. of students
47
40
44
32
35
6
22
38
(iii)
Weight (in kg)
42 - 48
49 - 55
56 - 62
63 - 69
70 - 76
77 - 83
84 - 90
91 - 97
No. of students
47
40
32
44
31
6
22
38
(iv)
Weight (in kg)
42 - 48
49 - 55
56 - 62
63 - 69
70 - 76
77 - 83
84 - 90
91 - 97
No. of students
47
38
32
44
35
6
22
40
(v)
Weight (in kg)
42 - 48
49 - 55
56 - 62
63 - 69
70 - 76
77 - 83
84 - 90
91 - 97
No. of students
47
40
35
44
35
6
22
38
Question
22
22.
Daily wages of 218 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
205 - 215
215 - 225
225 - 235
235 - 245
245 - 255
255 - 265
No. of labourers
30
37
46
49
18
38
(ii)
Daily wage (in Rs)
205 - 215
215 - 225
225 - 235
235 - 245
245 - 255
255 - 265
No. of labourers
30
46
37
52
18
38
(iii)
Daily wage (in Rs)
205 - 215
215 - 225
225 - 235
235 - 245
245 - 255
255 - 265
No. of labourers
30
46
40
49
18
38
(iv)
Daily wage (in Rs)
205 - 215
215 - 225
225 - 235
235 - 245
245 - 255
255 - 265
No. of labourers
30
46
37
49
18
38
(v)
Daily wage (in Rs)
205 - 215
215 - 225
225 - 235
235 - 245
245 - 255
255 - 265
No. of labourers
30
38
37
49
18
46
Question
23
23.
Daily wages of 241 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
281 - 291
292 - 302
303 - 313
314 - 324
325 - 335
336 - 346
347 - 357
No. of labourers
44
27
50
47
17
33
23
(ii)
Daily wage (in Rs)
281 - 291
292 - 302
303 - 313
314 - 324
325 - 335
336 - 346
347 - 357
No. of labourers
44
23
50
47
17
33
27
(iii)
Daily wage (in Rs)
281 - 291
292 - 302
303 - 313
314 - 324
325 - 335
336 - 346
347 - 357
No. of labourers
44
27
50
45
17
33
23
(iv)
Daily wage (in Rs)
281 - 291
292 - 302
303 - 313
314 - 324
325 - 335
336 - 346
347 - 357
No. of labourers
44
27
55
47
17
33
23
(v)
Daily wage (in Rs)
281 - 291
292 - 302
303 - 313
314 - 324
325 - 335
336 - 346
347 - 357
No. of labourers
44
50
27
47
17
33
23
Assignment Key
1) (ii)
2) (i)
3) (ii)
4) (iii)
5) (iii)
6) (iv)
7) (i)
8) (iii)
9) (iii)
10) (iii)
11) (ii)
12) (iv)
13) (v)
14) (iii)
15) (v)
16) (iii)
17) (iv)
18) (ii)
19) (i)
20) (i)
21) (i)
22) (iv)
23) (i)
