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)
upper boundaries of classes and cumulative frequencies
(iv)
end points of classes and frequencies
Question
2
2.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
49 - 54
55 - 60
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
Frequency
22
50
31
29
26
40
36
(ii)
Class-Interval
49 - 54
55 - 60
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
Frequency
22
31
50
26
26
40
36
(iii)
Class-Interval
49 - 54
55 - 60
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
Frequency
22
36
31
26
26
40
50
(iv)
Class-Interval
49 - 54
55 - 60
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
Frequency
22
50
36
26
26
40
36
(v)
Class-Interval
49 - 54
55 - 60
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
Frequency
22
50
31
26
26
40
36
Question
3
3.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
Frequency
37
41
39
39
22
32
33
22
(ii)
Class-Interval
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
Frequency
37
22
39
39
22
32
33
41
(iii)
Class-Interval
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
Frequency
37
41
39
39
24
32
33
22
(iv)
Class-Interval
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
Frequency
37
41
43
39
22
32
33
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)
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
No. of heart patients
26
24
13
8
15
(ii)
Age (in years)
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
No. of heart patients
26
18
24
8
15
(iii)
Age (in years)
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
No. of heart patients
26
13
24
8
15
(iv)
Age (in years)
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
No. of heart patients
26
15
24
8
13
(v)
Age (in years)
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
No. of heart patients
26
13
21
8
15
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)
13 - 19
19 - 25
25 - 31
31 - 37
37 - 43
No. of heart patients
8
14
8
22
9
(ii)
Age (in years)
13 - 19
19 - 25
25 - 31
31 - 37
37 - 43
No. of heart patients
8
9
4
22
14
(iii)
Age (in years)
13 - 19
19 - 25
25 - 31
31 - 37
37 - 43
No. of heart patients
8
4
8
22
14
(iv)
Age (in years)
13 - 19
19 - 25
25 - 31
31 - 37
37 - 43
No. of heart patients
8
8
9
22
14
(v)
Age (in years)
13 - 19
19 - 25
25 - 31
31 - 37
37 - 43
No. of heart patients
8
9
8
22
14
Question
6
6.
Marks obtained by 117 students of a class in an examination are given below.
Identify the class interval table for the given frequency polygon.
(i)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
28
14
19
9
27
20
(ii)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
28
19
14
5
27
20
(iii)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
28
19
14
9
27
20
(iv)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
28
19
18
9
27
20
(v)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
28
20
14
9
27
19
Question
7
7.
The daily pocket expenses of 141 students in a school are given below.
Identify the class interval table for the given frequency polygon.
(i)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
8
28
7
18
23
15
28
10
(ii)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
8
28
11
18
26
15
28
10
(iii)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
8
10
11
18
23
15
28
28
(iv)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
8
28
11
18
23
15
28
10
(v)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
8
28
18
11
23
15
28
10
Question
8
8.
Heights of 145 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
127 - 136
136 - 145
145 - 154
154 - 163
163 - 172
No. of students
18
26
20
35
43
(ii)
Height (in cm)
127 - 136
136 - 145
145 - 154
154 - 163
163 - 172
No. of students
18
43
23
35
26
(iii)
Height (in cm)
127 - 136
136 - 145
145 - 154
154 - 163
163 - 172
No. of students
18
23
26
35
43
(iv)
Height (in cm)
127 - 136
136 - 145
145 - 154
154 - 163
163 - 172
No. of students
18
28
23
35
43
(v)
Height (in cm)
127 - 136
136 - 145
145 - 154
154 - 163
163 - 172
No. of students
18
26
23
35
43
Question
9
9.
Heights of 193 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
127 - 132
133 - 138
139 - 144
145 - 150
151 - 156
157 - 162
163 - 168
169 - 174
No. of students
6
50
7
28
25
26
21
30
(ii)
Height (in cm)
127 - 132
133 - 138
139 - 144
145 - 150
151 - 156
157 - 162
163 - 168
169 - 174
No. of students
6
30
7
28
25
26
21
50
(iii)
Height (in cm)
127 - 132
133 - 138
139 - 144
145 - 150
151 - 156
157 - 162
163 - 168
169 - 174
No. of students
6
30
28
7
25
26
21
50
(iv)
Height (in cm)
127 - 132
133 - 138
139 - 144
145 - 150
151 - 156
157 - 162
163 - 168
169 - 174
No. of students
6
30
7
28
29
26
21
50
(v)
Height (in cm)
127 - 132
133 - 138
139 - 144
145 - 150
151 - 156
157 - 162
163 - 168
169 - 174
No. of students
6
30
9
28
25
26
21
50
Question
10
10.
Heights of 204 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
59 - 68
68 - 77
77 - 86
86 - 95
95 - 104
104 - 113
113 - 122
No. of plants
33
46
20
29
24
14
38
(ii)
Height (in cm)
59 - 68
68 - 77
77 - 86
86 - 95
95 - 104
104 - 113
113 - 122
No. of plants
33
20
46
25
24
14
38
(iii)
Height (in cm)
59 - 68
68 - 77
77 - 86
86 - 95
95 - 104
104 - 113
113 - 122
No. of plants
33
38
46
29
24
14
20
(iv)
Height (in cm)
59 - 68
68 - 77
77 - 86
86 - 95
95 - 104
104 - 113
113 - 122
No. of plants
33
20
49
29
24
14
38
(v)
Height (in cm)
59 - 68
68 - 77
77 - 86
86 - 95
95 - 104
104 - 113
113 - 122
No. of plants
33
20
46
29
24
14
38
Question
11
11.
Heights of 140 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
68 - 75
76 - 83
84 - 91
92 - 99
100 - 107
108 - 115
No. of plants
45
9
14
19
38
15
(ii)
Height (in cm)
68 - 75
76 - 83
84 - 91
92 - 99
100 - 107
108 - 115
No. of plants
45
15
10
19
38
9
(iii)
Height (in cm)
68 - 75
76 - 83
84 - 91
92 - 99
100 - 107
108 - 115
No. of plants
45
15
14
19
38
9
(iv)
Height (in cm)
68 - 75
76 - 83
84 - 91
92 - 99
100 - 107
108 - 115
No. of plants
45
14
15
19
38
9
(v)
Height (in cm)
68 - 75
76 - 83
84 - 91
92 - 99
100 - 107
108 - 115
No. of plants
45
15
14
22
38
9
Question
12
12.
Ages of 197 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
No. of students
49
12
39
16
19
5
21
36
(ii)
Age (in years)
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
No. of students
49
12
34
16
19
5
21
36
(iii)
Age (in years)
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
No. of students
49
36
39
16
19
5
21
12
(iv)
Age (in years)
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
No. of students
49
12
16
39
19
5
21
36
(v)
Age (in years)
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
No. of students
49
12
39
16
24
5
21
36
Question
13
13.
Ages of 211 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
No. of students
33
35
24
30
46
41
(ii)
Age (in years)
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
No. of students
33
35
24
32
46
41
(iii)
Age (in years)
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
No. of students
33
41
24
32
46
35
(iv)
Age (in years)
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
No. of students
33
24
35
32
46
41
(v)
Age (in years)
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
No. of students
33
35
26
32
46
41
Question
14
14.
Scores of 153 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
78 - 88
88 - 98
98 - 108
108 - 118
118 - 128
128 - 138
No. of students
49
22
15
24
30
13
(ii)
Score
78 - 88
88 - 98
98 - 108
108 - 118
118 - 128
128 - 138
No. of students
49
22
17
24
30
13
(iii)
Score
78 - 88
88 - 98
98 - 108
108 - 118
118 - 128
128 - 138
No. of students
49
22
15
27
30
13
(iv)
Score
78 - 88
88 - 98
98 - 108
108 - 118
118 - 128
128 - 138
No. of students
49
13
15
24
30
22
(v)
Score
78 - 88
88 - 98
98 - 108
108 - 118
118 - 128
128 - 138
No. of students
49
15
22
24
30
13
Question
15
15.
Scores of 161 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
87 - 95
96 - 104
105 - 113
114 - 122
123 - 131
No. of students
41
28
25
24
43
(ii)
Score
87 - 95
96 - 104
105 - 113
114 - 122
123 - 131
No. of students
41
40
25
24
28
(iii)
Score
87 - 95
96 - 104
105 - 113
114 - 122
123 - 131
No. of students
41
25
43
24
28
(iv)
Score
87 - 95
96 - 104
105 - 113
114 - 122
123 - 131
No. of students
41
43
25
24
28
(v)
Score
87 - 95
96 - 104
105 - 113
114 - 122
123 - 131
No. of students
41
43
29
24
28
Question
16
16.
Rainfall of 285 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
9 - 16
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
51 - 58
58 - 65
No. of days
47
16
46
31
20
46
25
49
(ii)
Rainfall (in mm)
9 - 16
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
51 - 58
58 - 65
No. of days
47
16
49
31
25
46
25
49
(iii)
Rainfall (in mm)
9 - 16
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
51 - 58
58 - 65
No. of days
47
16
46
31
25
46
25
49
(iv)
Rainfall (in mm)
9 - 16
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
51 - 58
58 - 65
No. of days
47
16
31
46
25
46
25
49
(v)
Rainfall (in mm)
9 - 16
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
51 - 58
58 - 65
No. of days
47
49
46
31
25
46
25
16
Question
17
17.
Rainfall of 260 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
5 - 11
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
No. of days
39
39
48
13
24
24
48
20
(ii)
Rainfall (in mm)
5 - 11
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
No. of days
39
20
48
13
29
24
48
39
(iii)
Rainfall (in mm)
5 - 11
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
No. of days
39
39
50
13
29
24
48
20
(iv)
Rainfall (in mm)
5 - 11
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
No. of days
39
39
48
13
29
24
48
20
(v)
Rainfall (in mm)
5 - 11
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
No. of days
39
39
13
48
29
24
48
20
Question
18
18.
Temperatures of 289 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
35 - 45
45 - 55
55 - 65
65 - 75
75 - 85
85 - 95
95 - 105
No. of days
47
50
39
31
50
30
42
(ii)
Temperature (in degree)
35 - 45
45 - 55
55 - 65
65 - 75
75 - 85
85 - 95
95 - 105
No. of days
47
50
41
31
50
30
42
(iii)
Temperature (in degree)
35 - 45
45 - 55
55 - 65
65 - 75
75 - 85
85 - 95
95 - 105
No. of days
47
50
39
33
50
30
42
(iv)
Temperature (in degree)
35 - 45
45 - 55
55 - 65
65 - 75
75 - 85
85 - 95
95 - 105
No. of days
47
42
39
31
50
30
50
(v)
Temperature (in degree)
35 - 45
45 - 55
55 - 65
65 - 75
75 - 85
85 - 95
95 - 105
No. of days
47
39
50
31
50
30
42
Question
19
19.
Temperatures of 142 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
25 - 31
32 - 38
39 - 45
46 - 52
53 - 59
No. of days
17
23
36
44
22
(ii)
Temperature (in degree)
25 - 31
32 - 38
39 - 45
46 - 52
53 - 59
No. of days
17
32
23
44
22
(iii)
Temperature (in degree)
25 - 31
32 - 38
39 - 45
46 - 52
53 - 59
No. of days
17
22
23
44
36
(iv)
Temperature (in degree)
25 - 31
32 - 38
39 - 45
46 - 52
53 - 59
No. of days
17
36
23
44
22
(v)
Temperature (in degree)
25 - 31
32 - 38
39 - 45
46 - 52
53 - 59
No. of days
17
36
20
44
22
Question
20
20.
Weights of 206 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
52 - 59
59 - 66
66 - 73
73 - 80
80 - 87
87 - 94
94 - 101
No. of students
38
11
20
44
23
48
22
(ii)
Weight (in kg)
52 - 59
59 - 66
66 - 73
73 - 80
80 - 87
87 - 94
94 - 101
No. of students
38
11
22
44
23
48
22
(iii)
Weight (in kg)
52 - 59
59 - 66
66 - 73
73 - 80
80 - 87
87 - 94
94 - 101
No. of students
38
20
11
44
23
48
22
(iv)
Weight (in kg)
52 - 59
59 - 66
66 - 73
73 - 80
80 - 87
87 - 94
94 - 101
No. of students
38
22
20
44
23
48
11
(v)
Weight (in kg)
52 - 59
59 - 66
66 - 73
73 - 80
80 - 87
87 - 94
94 - 101
No. of students
38
11
20
49
23
48
22
Question
21
21.
Weights of 130 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
43 - 51
52 - 60
61 - 69
70 - 78
79 - 87
No. of students
14
30
47
8
29
(ii)
Weight (in kg)
43 - 51
52 - 60
61 - 69
70 - 78
79 - 87
No. of students
14
30
49
8
29
(iii)
Weight (in kg)
43 - 51
52 - 60
61 - 69
70 - 78
79 - 87
No. of students
14
28
49
8
29
(iv)
Weight (in kg)
43 - 51
52 - 60
61 - 69
70 - 78
79 - 87
No. of students
14
49
30
8
29
(v)
Weight (in kg)
43 - 51
52 - 60
61 - 69
70 - 78
79 - 87
No. of students
14
29
49
8
30
Question
22
22.
Daily wages of 167 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
231 - 237
237 - 243
243 - 249
249 - 255
255 - 261
261 - 267
267 - 273
273 - 279
No. of labourers
36
38
37
5
13
19
6
13
(ii)
Daily wage (in Rs)
231 - 237
237 - 243
243 - 249
249 - 255
255 - 261
261 - 267
267 - 273
273 - 279
No. of labourers
36
38
5
37
8
19
6
13
(iii)
Daily wage (in Rs)
231 - 237
237 - 243
243 - 249
249 - 255
255 - 261
261 - 267
267 - 273
273 - 279
No. of labourers
36
38
5
37
13
19
6
13
(iv)
Daily wage (in Rs)
231 - 237
237 - 243
243 - 249
249 - 255
255 - 261
261 - 267
267 - 273
273 - 279
No. of labourers
36
38
1
37
13
19
6
13
(v)
Daily wage (in Rs)
231 - 237
237 - 243
243 - 249
249 - 255
255 - 261
261 - 267
267 - 273
273 - 279
No. of labourers
36
13
5
37
13
19
6
38
Question
23
23.
Daily wages of 163 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
296 - 306
307 - 317
318 - 328
329 - 339
340 - 350
351 - 361
No. of labourers
19
42
42
6
9
45
(ii)
Daily wage (in Rs)
296 - 306
307 - 317
318 - 328
329 - 339
340 - 350
351 - 361
No. of labourers
19
45
42
6
9
42
(iii)
Daily wage (in Rs)
296 - 306
307 - 317
318 - 328
329 - 339
340 - 350
351 - 361
No. of labourers
19
45
42
8
9
42
(iv)
Daily wage (in Rs)
296 - 306
307 - 317
318 - 328
329 - 339
340 - 350
351 - 361
No. of labourers
19
45
37
6
9
42
(v)
Daily wage (in Rs)
296 - 306
307 - 317
318 - 328
329 - 339
340 - 350
351 - 361
No. of labourers
19
42
45
6
9
42
Assignment Key
1) (ii)
2) (v)
3) (i)
4) (iii)
5) (v)
6) (iii)
7) (iv)
8) (v)
9) (ii)
10) (v)
11) (iii)
12) (i)
13) (ii)
14) (i)
15) (iv)
16) (iii)
17) (iv)
18) (i)
19) (iv)
20) (i)
21) (ii)
22) (iii)
23) (ii)
