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)
end points of classes and frequencies
(ii)
mid point of classes and frequencies
(iii)
lower boundaries of classes and greater than cumulative 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
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
71 - 78
79 - 86
Frequency
16
17
44
31
36
42
19
(ii)
Class-Interval
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
71 - 78
79 - 86
Frequency
16
19
44
31
36
42
17
(iii)
Class-Interval
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
71 - 78
79 - 86
Frequency
16
19
44
29
36
42
17
(iv)
Class-Interval
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
71 - 78
79 - 86
Frequency
16
44
19
31
36
42
17
(v)
Class-Interval
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
71 - 78
79 - 86
Frequency
16
19
42
31
36
42
17
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)
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
No. of heart patients
8
18
10
12
24
(ii)
Age (in years)
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
No. of heart patients
8
10
24
12
18
(iii)
Age (in years)
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
No. of heart patients
8
24
5
12
18
(iv)
Age (in years)
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
No. of heart patients
8
24
10
12
18
(v)
Age (in years)
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
No. of heart patients
8
26
10
12
18
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)
22 - 27
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
No. of heart patients
13
18
27
23
21
21
(ii)
Age (in years)
22 - 27
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
No. of heart patients
13
18
23
25
21
21
(iii)
Age (in years)
22 - 27
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
No. of heart patients
13
21
23
23
21
18
(iv)
Age (in years)
22 - 27
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
No. of heart patients
13
23
18
23
21
21
(v)
Age (in years)
22 - 27
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
No. of heart patients
13
18
23
23
21
21
Question
5
5.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
22 - 32
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
Frequency
31
19
39
33
33
45
35
(ii)
Class-Interval
22 - 32
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
Frequency
31
19
39
31
33
45
35
(iii)
Class-Interval
22 - 32
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
Frequency
31
35
39
33
33
45
19
(iv)
Class-Interval
22 - 32
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
Frequency
31
19
44
33
33
45
35
(v)
Class-Interval
22 - 32
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
Frequency
31
39
19
33
33
45
35
Question
6
6.
Marks obtained by 103 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
No. of students
16
17
10
16
19
25
(ii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
No. of students
16
10
14
16
19
25
(iii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
No. of students
16
25
17
16
19
10
(iv)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
No. of students
16
10
17
14
19
25
(v)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
No. of students
16
10
17
16
19
25
Question
7
7.
The daily pocket expenses of 106 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
No. of students
29
30
19
16
8
(ii)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
No. of students
29
30
23
16
8
(iii)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
No. of students
29
26
23
16
8
(iv)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
No. of students
29
23
30
16
8
(v)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
No. of students
29
8
23
16
30
Question
8
8.
Heights of 154 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
124 - 131
131 - 138
138 - 145
145 - 152
152 - 159
159 - 166
166 - 173
No. of students
8
14
20
31
30
39
12
(ii)
Height (in cm)
124 - 131
131 - 138
138 - 145
145 - 152
152 - 159
159 - 166
166 - 173
No. of students
8
20
12
31
30
39
14
(iii)
Height (in cm)
124 - 131
131 - 138
138 - 145
145 - 152
152 - 159
159 - 166
166 - 173
No. of students
8
12
20
31
30
39
14
(iv)
Height (in cm)
124 - 131
131 - 138
138 - 145
145 - 152
152 - 159
159 - 166
166 - 173
No. of students
8
12
22
31
30
39
14
(v)
Height (in cm)
124 - 131
131 - 138
138 - 145
145 - 152
152 - 159
159 - 166
166 - 173
No. of students
8
12
20
28
30
39
14
Question
9
9.
Heights of 102 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
No. of students
16
16
16
38
13
(ii)
Height (in cm)
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
No. of students
16
19
13
38
13
(iii)
Height (in cm)
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
No. of students
16
13
16
38
19
(iv)
Height (in cm)
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
No. of students
16
19
16
38
13
(v)
Height (in cm)
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
No. of students
16
16
19
38
13
Question
10
10.
Heights of 126 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
58 - 63
63 - 68
68 - 73
73 - 78
78 - 83
83 - 88
No. of plants
17
38
30
18
16
7
(ii)
Height (in cm)
58 - 63
63 - 68
68 - 73
73 - 78
78 - 83
83 - 88
No. of plants
17
7
38
18
16
30
(iii)
Height (in cm)
58 - 63
63 - 68
68 - 73
73 - 78
78 - 83
83 - 88
No. of plants
17
30
33
18
16
7
(iv)
Height (in cm)
58 - 63
63 - 68
68 - 73
73 - 78
78 - 83
83 - 88
No. of plants
17
30
38
18
16
7
(v)
Height (in cm)
58 - 63
63 - 68
68 - 73
73 - 78
78 - 83
83 - 88
No. of plants
17
30
38
13
16
7
Question
11
11.
Heights of 226 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
62 - 70
71 - 79
80 - 88
89 - 97
98 - 106
107 - 115
116 - 124
125 - 133
No. of plants
33
20
21
49
29
20
15
39
(ii)
Height (in cm)
62 - 70
71 - 79
80 - 88
89 - 97
98 - 106
107 - 115
116 - 124
125 - 133
No. of plants
33
20
44
21
29
20
15
39
(iii)
Height (in cm)
62 - 70
71 - 79
80 - 88
89 - 97
98 - 106
107 - 115
116 - 124
125 - 133
No. of plants
33
20
49
21
27
20
15
39
(iv)
Height (in cm)
62 - 70
71 - 79
80 - 88
89 - 97
98 - 106
107 - 115
116 - 124
125 - 133
No. of plants
33
39
49
21
29
20
15
20
(v)
Height (in cm)
62 - 70
71 - 79
80 - 88
89 - 97
98 - 106
107 - 115
116 - 124
125 - 133
No. of plants
33
20
49
21
29
20
15
39
Question
12
12.
Ages of 133 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
No. of students
9
13
40
26
43
(ii)
Age (in years)
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
No. of students
9
15
43
26
43
(iii)
Age (in years)
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
No. of students
9
43
40
26
15
(iv)
Age (in years)
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
No. of students
9
15
40
26
43
(v)
Age (in years)
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
No. of students
9
40
15
26
43
Question
13
13.
Ages of 159 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
19 - 29
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
No. of students
16
14
12
34
35
15
33
(ii)
Age (in years)
19 - 29
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
No. of students
16
33
12
34
35
15
14
(iii)
Age (in years)
19 - 29
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
No. of students
16
33
12
36
35
15
14
(iv)
Age (in years)
19 - 29
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
No. of students
16
12
33
34
35
15
14
(v)
Age (in years)
19 - 29
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
No. of students
16
33
17
34
35
15
14
Question
14
14.
Scores of 204 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
75 - 83
83 - 91
91 - 99
99 - 107
107 - 115
115 - 123
123 - 131
No. of students
47
32
18
34
25
28
25
(ii)
Score
75 - 83
83 - 91
91 - 99
99 - 107
107 - 115
115 - 123
123 - 131
No. of students
47
32
15
29
25
28
25
(iii)
Score
75 - 83
83 - 91
91 - 99
99 - 107
107 - 115
115 - 123
123 - 131
No. of students
47
32
18
29
25
28
25
(iv)
Score
75 - 83
83 - 91
91 - 99
99 - 107
107 - 115
115 - 123
123 - 131
No. of students
47
18
32
29
25
28
25
(v)
Score
75 - 83
83 - 91
91 - 99
99 - 107
107 - 115
115 - 123
123 - 131
No. of students
47
25
18
29
25
28
32
Question
15
15.
Scores of 222 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
85 - 93
94 - 102
103 - 111
112 - 120
121 - 129
130 - 138
139 - 147
148 - 156
No. of students
39
32
8
23
31
21
29
42
(ii)
Score
85 - 93
94 - 102
103 - 111
112 - 120
121 - 129
130 - 138
139 - 147
148 - 156
No. of students
39
32
5
23
31
21
29
42
(iii)
Score
85 - 93
94 - 102
103 - 111
112 - 120
121 - 129
130 - 138
139 - 147
148 - 156
No. of students
39
32
5
23
29
21
29
42
(iv)
Score
85 - 93
94 - 102
103 - 111
112 - 120
121 - 129
130 - 138
139 - 147
148 - 156
No. of students
39
42
5
23
31
21
29
32
(v)
Score
85 - 93
94 - 102
103 - 111
112 - 120
121 - 129
130 - 138
139 - 147
148 - 156
No. of students
39
32
23
5
31
21
29
42
Question
16
16.
Rainfall of 246 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
13 - 22
22 - 31
31 - 40
40 - 49
49 - 58
58 - 67
67 - 76
76 - 85
No. of days
41
33
10
7
36
50
28
44
(ii)
Rainfall (in mm)
13 - 22
22 - 31
31 - 40
40 - 49
49 - 58
58 - 67
67 - 76
76 - 85
No. of days
41
44
7
7
36
50
28
33
(iii)
Rainfall (in mm)
13 - 22
22 - 31
31 - 40
40 - 49
49 - 58
58 - 67
67 - 76
76 - 85
No. of days
41
33
7
7
36
50
28
44
(iv)
Rainfall (in mm)
13 - 22
22 - 31
31 - 40
40 - 49
49 - 58
58 - 67
67 - 76
76 - 85
No. of days
41
33
7
7
32
50
28
44
Question
17
17.
Rainfall of 195 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
14 - 24
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
80 - 90
No. of days
16
11
43
41
33
37
11
(ii)
Rainfall (in mm)
14 - 24
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
80 - 90
No. of days
16
11
43
44
33
37
11
(iii)
Rainfall (in mm)
14 - 24
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
80 - 90
No. of days
16
43
11
44
33
37
11
(iv)
Rainfall (in mm)
14 - 24
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
80 - 90
No. of days
16
11
38
44
33
37
11
Question
18
18.
Temperatures of 152 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
34 - 44
44 - 54
54 - 64
64 - 74
74 - 84
84 - 94
No. of days
13
50
17
37
8
27
(ii)
Temperature (in degree)
34 - 44
44 - 54
54 - 64
64 - 74
74 - 84
84 - 94
No. of days
13
17
50
37
8
27
(iii)
Temperature (in degree)
34 - 44
44 - 54
54 - 64
64 - 74
74 - 84
84 - 94
No. of days
13
17
50
39
8
27
(iv)
Temperature (in degree)
34 - 44
44 - 54
54 - 64
64 - 74
74 - 84
84 - 94
No. of days
13
27
50
37
8
17
(v)
Temperature (in degree)
34 - 44
44 - 54
54 - 64
64 - 74
74 - 84
84 - 94
No. of days
13
17
45
37
8
27
Question
19
19.
Temperatures of 191 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
74 - 81
No. of days
44
15
20
36
31
45
(ii)
Temperature (in degree)
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
74 - 81
No. of days
44
45
15
36
31
20
(iii)
Temperature (in degree)
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
74 - 81
No. of days
44
20
11
36
31
45
(iv)
Temperature (in degree)
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
74 - 81
No. of days
44
20
15
33
31
45
(v)
Temperature (in degree)
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
74 - 81
No. of days
44
20
15
36
31
45
Question
20
20.
Weights of 147 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
No. of students
40
50
15
18
9
15
(ii)
Weight (in kg)
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
No. of students
40
15
10
18
9
50
(iii)
Weight (in kg)
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
No. of students
40
15
15
18
9
50
(iv)
Weight (in kg)
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
No. of students
40
15
15
21
9
50
Question
21
21.
Weights of 187 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
58 - 63
64 - 69
70 - 75
76 - 81
82 - 87
88 - 93
94 - 99
No. of students
8
19
43
7
45
41
24
(ii)
Weight (in kg)
58 - 63
64 - 69
70 - 75
76 - 81
82 - 87
88 - 93
94 - 99
No. of students
8
43
21
7
45
41
24
(iii)
Weight (in kg)
58 - 63
64 - 69
70 - 75
76 - 81
82 - 87
88 - 93
94 - 99
No. of students
8
43
19
7
45
41
24
(iv)
Weight (in kg)
58 - 63
64 - 69
70 - 75
76 - 81
82 - 87
88 - 93
94 - 99
No. of students
8
24
19
7
45
41
43
(v)
Weight (in kg)
58 - 63
64 - 69
70 - 75
76 - 81
82 - 87
88 - 93
94 - 99
No. of students
8
43
19
3
45
41
24
Question
22
22.
Daily wages of 140 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
294 - 299
299 - 304
304 - 309
309 - 314
314 - 319
No. of labourers
13
34
49
40
6
(ii)
Daily wage (in Rs)
294 - 299
299 - 304
304 - 309
309 - 314
314 - 319
No. of labourers
13
32
45
40
6
(iii)
Daily wage (in Rs)
294 - 299
299 - 304
304 - 309
309 - 314
314 - 319
No. of labourers
13
6
49
40
32
(iv)
Daily wage (in Rs)
294 - 299
299 - 304
304 - 309
309 - 314
314 - 319
No. of labourers
13
49
32
40
6
(v)
Daily wage (in Rs)
294 - 299
299 - 304
304 - 309
309 - 314
314 - 319
No. of labourers
13
32
49
40
6
Question
23
23.
Daily wages of 80 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
248 - 257
258 - 267
268 - 277
278 - 287
288 - 297
No. of labourers
23
5
29
17
6
(ii)
Daily wage (in Rs)
248 - 257
258 - 267
268 - 277
278 - 287
288 - 297
No. of labourers
23
29
5
17
6
(iii)
Daily wage (in Rs)
248 - 257
258 - 267
268 - 277
278 - 287
288 - 297
No. of labourers
23
6
5
17
29
(iv)
Daily wage (in Rs)
248 - 257
258 - 267
268 - 277
278 - 287
288 - 297
No. of labourers
23
29
10
17
6
(v)
Daily wage (in Rs)
248 - 257
258 - 267
268 - 277
278 - 287
288 - 297
No. of labourers
23
34
5
17
6
Assignment Key
1) (ii)
2) (ii)
3) (iv)
4) (v)
5) (i)
6) (v)
7) (ii)
8) (iii)
9) (iv)
10) (iv)
11) (v)
12) (iv)
13) (ii)
14) (iii)
15) (ii)
16) (iii)
17) (ii)
18) (ii)
19) (v)
20) (iii)
21) (iii)
22) (v)
23) (ii)
