EduSahara™ Assignment
Name : Frequency Polygon
Chapter : Statistics
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
The frequency polygon is one drawn using
(i)
upper boundaries of classes and cumulative frequencies
(ii)
end points of classes and frequencies
(iii)
mid point of classes and frequencies
(iv)
lower boundaries of classes and greater than cumulative frequencies
Question
2
2.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
45 - 53
54 - 62
63 - 71
72 - 80
81 - 89
90 - 98
Frequency
33
13
41
42
43
39
(ii)
Class-Interval
45 - 53
54 - 62
63 - 71
72 - 80
81 - 89
90 - 98
Frequency
33
41
13
40
43
39
(iii)
Class-Interval
45 - 53
54 - 62
63 - 71
72 - 80
81 - 89
90 - 98
Frequency
33
39
13
42
43
41
(iv)
Class-Interval
45 - 53
54 - 62
63 - 71
72 - 80
81 - 89
90 - 98
Frequency
33
41
13
42
43
39
(v)
Class-Interval
45 - 53
54 - 62
63 - 71
72 - 80
81 - 89
90 - 98
Frequency
33
41
11
42
43
39
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)
14 - 18
19 - 23
24 - 28
29 - 33
34 - 38
39 - 43
44 - 48
49 - 53
No. of heart patients
19
19
24
5
28
21
10
21
(ii)
Age (in years)
14 - 18
19 - 23
24 - 28
29 - 33
34 - 38
39 - 43
44 - 48
49 - 53
No. of heart patients
19
21
5
24
28
21
10
19
(iii)
Age (in years)
14 - 18
19 - 23
24 - 28
29 - 33
34 - 38
39 - 43
44 - 48
49 - 53
No. of heart patients
19
19
5
24
28
21
10
21
(iv)
Age (in years)
14 - 18
19 - 23
24 - 28
29 - 33
34 - 38
39 - 43
44 - 48
49 - 53
No. of heart patients
19
19
2
24
28
21
10
21
(v)
Age (in years)
14 - 18
19 - 23
24 - 28
29 - 33
34 - 38
39 - 43
44 - 48
49 - 53
No. of heart patients
19
19
5
24
30
21
10
21
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)
23 - 32
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
No. of heart patients
26
22
6
19
19
16
(ii)
Age (in years)
23 - 32
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
No. of heart patients
26
6
22
19
19
16
(iii)
Age (in years)
23 - 32
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
No. of heart patients
26
16
22
19
19
6
(iv)
Age (in years)
23 - 32
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
No. of heart patients
26
6
22
23
19
16
(v)
Age (in years)
23 - 32
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
No. of heart patients
26
6
27
19
19
16
Question
5
5.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
93 - 102
102 - 111
Frequency
36
41
46
16
42
13
35
39
(ii)
Class-Interval
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
93 - 102
102 - 111
Frequency
36
39
46
16
45
13
35
41
(iii)
Class-Interval
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
93 - 102
102 - 111
Frequency
36
41
46
16
45
13
35
39
(iv)
Class-Interval
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
93 - 102
102 - 111
Frequency
36
41
44
16
45
13
35
39
(v)
Class-Interval
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
93 - 102
102 - 111
Frequency
36
41
16
46
45
13
35
39
Question
6
6.
Marks obtained by 140 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
35 - 40
No. of students
15
23
16
28
26
7
15
10
(ii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
15
10
16
28
23
7
15
23
(iii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
15
10
16
28
26
7
15
23
(iv)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
15
10
19
28
26
7
15
23
(v)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
15
10
28
16
26
7
15
23
Question
7
7.
The daily pocket expenses of 124 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
7
28
26
16
25
9
13
(ii)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
7
28
26
19
25
9
13
(iii)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
7
28
22
16
25
9
13
(iv)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
7
13
26
16
25
9
28
(v)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
7
26
28
16
25
9
13
Question
8
8.
Heights of 160 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
120 - 128
128 - 136
136 - 144
144 - 152
152 - 160
160 - 168
168 - 176
No. of students
7
35
16
49
12
6
35
(ii)
Height (in cm)
120 - 128
128 - 136
136 - 144
144 - 152
152 - 160
160 - 168
168 - 176
No. of students
7
16
35
49
12
6
35
(iii)
Height (in cm)
120 - 128
128 - 136
136 - 144
144 - 152
152 - 160
160 - 168
168 - 176
No. of students
7
35
16
44
12
6
35
(iv)
Height (in cm)
120 - 128
128 - 136
136 - 144
144 - 152
152 - 160
160 - 168
168 - 176
No. of students
7
35
18
49
12
6
35
Question
9
9.
Heights of 142 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
123 - 128
129 - 134
135 - 140
141 - 146
147 - 152
153 - 158
No. of students
35
14
32
23
20
18
(ii)
Height (in cm)
123 - 128
129 - 134
135 - 140
141 - 146
147 - 152
153 - 158
No. of students
35
18
32
28
20
14
(iii)
Height (in cm)
123 - 128
129 - 134
135 - 140
141 - 146
147 - 152
153 - 158
No. of students
35
18
29
23
20
14
(iv)
Height (in cm)
123 - 128
129 - 134
135 - 140
141 - 146
147 - 152
153 - 158
No. of students
35
32
18
23
20
14
(v)
Height (in cm)
123 - 128
129 - 134
135 - 140
141 - 146
147 - 152
153 - 158
No. of students
35
18
32
23
20
14
Question
10
10.
Heights of 234 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
64 - 74
74 - 84
84 - 94
94 - 104
104 - 114
114 - 124
124 - 134
134 - 144
No. of plants
35
26
47
21
22
45
14
24
(ii)
Height (in cm)
64 - 74
74 - 84
84 - 94
94 - 104
104 - 114
114 - 124
124 - 134
134 - 144
No. of plants
35
26
21
47
27
45
14
24
(iii)
Height (in cm)
64 - 74
74 - 84
84 - 94
94 - 104
104 - 114
114 - 124
124 - 134
134 - 144
No. of plants
35
24
21
47
22
45
14
26
(iv)
Height (in cm)
64 - 74
74 - 84
84 - 94
94 - 104
104 - 114
114 - 124
124 - 134
134 - 144
No. of plants
35
26
21
47
22
45
14
24
(v)
Height (in cm)
64 - 74
74 - 84
84 - 94
94 - 104
104 - 114
114 - 124
124 - 134
134 - 144
No. of plants
35
26
18
47
22
45
14
24
Question
11
11.
Heights of 192 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
68 - 76
77 - 85
86 - 94
95 - 103
104 - 112
113 - 121
122 - 130
No. of plants
47
17
42
40
14
14
18
(ii)
Height (in cm)
68 - 76
77 - 85
86 - 94
95 - 103
104 - 112
113 - 121
122 - 130
No. of plants
47
17
42
37
14
14
18
(iii)
Height (in cm)
68 - 76
77 - 85
86 - 94
95 - 103
104 - 112
113 - 121
122 - 130
No. of plants
47
17
40
40
14
14
18
(iv)
Height (in cm)
68 - 76
77 - 85
86 - 94
95 - 103
104 - 112
113 - 121
122 - 130
No. of plants
47
42
17
40
14
14
18
(v)
Height (in cm)
68 - 76
77 - 85
86 - 94
95 - 103
104 - 112
113 - 121
122 - 130
No. of plants
47
18
42
40
14
14
17
Question
12
12.
Ages of 178 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
No. of students
14
49
37
12
29
40
(ii)
Age (in years)
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
No. of students
14
49
37
9
29
40
(iii)
Age (in years)
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
No. of students
14
40
37
9
29
49
(iv)
Age (in years)
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
No. of students
14
37
49
9
29
40
(v)
Age (in years)
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
No. of students
14
49
41
9
29
40
Question
13
13.
Ages of 229 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
No. of students
33
31
23
7
41
49
16
29
(ii)
Age (in years)
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
No. of students
33
29
25
7
41
49
16
31
(iii)
Age (in years)
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
No. of students
33
29
23
7
39
49
16
31
(iv)
Age (in years)
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
No. of students
33
29
23
7
41
49
16
31
(v)
Age (in years)
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
No. of students
33
29
7
23
41
49
16
31
Question
14
14.
Scores of 250 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
118 - 124
124 - 130
130 - 136
No. of students
40
9
25
34
50
24
21
47
(ii)
Score
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
118 - 124
124 - 130
130 - 136
No. of students
40
47
34
25
50
24
21
9
(iii)
Score
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
118 - 124
124 - 130
130 - 136
No. of students
40
47
22
34
50
24
21
9
(iv)
Score
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
118 - 124
124 - 130
130 - 136
No. of students
40
47
25
34
53
24
21
9
(v)
Score
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
118 - 124
124 - 130
130 - 136
No. of students
40
47
25
34
50
24
21
9
Question
15
15.
Scores of 175 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
85 - 90
91 - 96
97 - 102
103 - 108
109 - 114
115 - 120
121 - 126
No. of students
45
10
39
12
22
35
7
(ii)
Score
85 - 90
91 - 96
97 - 102
103 - 108
109 - 114
115 - 120
121 - 126
No. of students
45
10
39
17
22
35
7
(iii)
Score
85 - 90
91 - 96
97 - 102
103 - 108
109 - 114
115 - 120
121 - 126
No. of students
45
7
39
17
22
35
10
(iv)
Score
85 - 90
91 - 96
97 - 102
103 - 108
109 - 114
115 - 120
121 - 126
No. of students
45
10
34
17
22
35
7
(v)
Score
85 - 90
91 - 96
97 - 102
103 - 108
109 - 114
115 - 120
121 - 126
No. of students
45
39
10
17
22
35
7
Question
16
16.
Rainfall of 204 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
8 - 15
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
No. of days
43
41
10
26
30
50
(ii)
Rainfall (in mm)
8 - 15
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
No. of days
43
41
14
31
30
50
(iii)
Rainfall (in mm)
8 - 15
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
No. of days
43
50
14
26
30
41
(iv)
Rainfall (in mm)
8 - 15
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
No. of days
43
14
41
26
30
50
(v)
Rainfall (in mm)
8 - 15
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
No. of days
43
41
14
26
30
50
Question
17
17.
Rainfall of 214 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
8 - 18
19 - 29
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
No. of days
8
11
23
35
23
28
41
45
(ii)
Rainfall (in mm)
8 - 18
19 - 29
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
No. of days
8
45
23
35
20
28
41
11
(iii)
Rainfall (in mm)
8 - 18
19 - 29
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
No. of days
8
45
21
35
23
28
41
11
(iv)
Rainfall (in mm)
8 - 18
19 - 29
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
No. of days
8
45
23
35
23
28
41
11
(v)
Rainfall (in mm)
8 - 18
19 - 29
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
No. of days
8
45
35
23
23
28
41
11
Question
18
18.
Temperatures of 241 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
No. of days
26
14
38
49
28
27
35
20
(ii)
Temperature (in degree)
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
No. of days
26
20
42
49
28
27
35
14
(iii)
Temperature (in degree)
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
No. of days
26
14
49
42
28
27
35
20
(iv)
Temperature (in degree)
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
No. of days
26
14
42
49
28
27
35
20
(v)
Temperature (in degree)
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
No. of days
26
14
42
49
32
27
35
20
Question
19
19.
Temperatures of 211 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
No. of days
26
39
36
29
3
33
17
25
(ii)
Temperature (in degree)
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
No. of days
26
39
39
29
6
33
17
25
(iii)
Temperature (in degree)
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
No. of days
26
39
36
29
6
33
17
25
(iv)
Temperature (in degree)
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
No. of days
26
25
36
29
6
33
17
39
(v)
Temperature (in degree)
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
No. of days
26
39
29
36
6
33
17
25
Question
20
20.
Weights of 135 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
No. of students
24
28
6
22
39
16
(ii)
Weight (in kg)
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
No. of students
24
16
2
22
39
28
(iii)
Weight (in kg)
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
No. of students
24
6
16
22
39
28
(iv)
Weight (in kg)
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
No. of students
24
16
6
22
39
28
(v)
Weight (in kg)
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
No. of students
24
16
6
19
39
28
Question
21
21.
Weights of 164 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
58 - 66
67 - 75
76 - 84
85 - 93
94 - 102
No. of students
13
47
42
39
21
(ii)
Weight (in kg)
58 - 66
67 - 75
76 - 84
85 - 93
94 - 102
No. of students
13
21
42
39
49
(iii)
Weight (in kg)
58 - 66
67 - 75
76 - 84
85 - 93
94 - 102
No. of students
13
49
42
39
21
(iv)
Weight (in kg)
58 - 66
67 - 75
76 - 84
85 - 93
94 - 102
No. of students
13
49
45
39
21
(v)
Weight (in kg)
58 - 66
67 - 75
76 - 84
85 - 93
94 - 102
No. of students
13
42
49
39
21
Question
22
22.
Daily wages of 228 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
293 - 298
298 - 303
303 - 308
308 - 313
313 - 318
318 - 323
323 - 328
328 - 333
No. of labourers
24
41
39
11
39
13
49
12
(ii)
Daily wage (in Rs)
293 - 298
298 - 303
303 - 308
308 - 313
313 - 318
318 - 323
323 - 328
328 - 333
No. of labourers
24
41
13
39
39
13
49
12
(iii)
Daily wage (in Rs)
293 - 298
298 - 303
303 - 308
308 - 313
313 - 318
318 - 323
323 - 328
328 - 333
No. of labourers
24
41
11
39
35
13
49
12
(iv)
Daily wage (in Rs)
293 - 298
298 - 303
303 - 308
308 - 313
313 - 318
318 - 323
323 - 328
328 - 333
No. of labourers
24
12
11
39
39
13
49
41
(v)
Daily wage (in Rs)
293 - 298
298 - 303
303 - 308
308 - 313
313 - 318
318 - 323
323 - 328
328 - 333
No. of labourers
24
41
11
39
39
13
49
12
Question
23
23.
Daily wages of 168 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
211 - 217
218 - 224
225 - 231
232 - 238
239 - 245
No. of labourers
45
46
49
22
9
(ii)
Daily wage (in Rs)
211 - 217
218 - 224
225 - 231
232 - 238
239 - 245
No. of labourers
45
51
46
22
9
(iii)
Daily wage (in Rs)
211 - 217
218 - 224
225 - 231
232 - 238
239 - 245
No. of labourers
45
46
46
22
9
(iv)
Daily wage (in Rs)
211 - 217
218 - 224
225 - 231
232 - 238
239 - 245
No. of labourers
45
9
46
22
46
Assignment Key
1) (iii)
2) (iv)
3) (iii)
4) (ii)
5) (iii)
6) (iii)
7) (i)
8) (i)
9) (v)
10) (iv)
11) (i)
12) (ii)
13) (iv)
14) (v)
15) (ii)
16) (v)
17) (iv)
18) (iv)
19) (iii)
20) (iv)
21) (iii)
22) (v)
23) (iii)
