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)
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
25 - 29
30 - 34
35 - 39
40 - 44
45 - 49
50 - 54
Frequency
36
10
26
21
46
49
(ii)
Class-Interval
25 - 29
30 - 34
35 - 39
40 - 44
45 - 49
50 - 54
Frequency
36
10
24
21
46
49
(iii)
Class-Interval
25 - 29
30 - 34
35 - 39
40 - 44
45 - 49
50 - 54
Frequency
36
24
10
21
46
49
(iv)
Class-Interval
25 - 29
30 - 34
35 - 39
40 - 44
45 - 49
50 - 54
Frequency
36
49
24
21
46
10
(v)
Class-Interval
25 - 29
30 - 34
35 - 39
40 - 44
45 - 49
50 - 54
Frequency
36
10
24
17
46
49
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)
35 - 44
45 - 54
55 - 64
65 - 74
75 - 84
85 - 94
95 - 104
105 - 114
No. of heart patients
28
5
12
10
13
10
29
8
(ii)
Age (in years)
35 - 44
45 - 54
55 - 64
65 - 74
75 - 84
85 - 94
95 - 104
105 - 114
No. of heart patients
28
8
12
10
9
10
29
5
(iii)
Age (in years)
35 - 44
45 - 54
55 - 64
65 - 74
75 - 84
85 - 94
95 - 104
105 - 114
No. of heart patients
28
5
10
12
9
10
29
8
(iv)
Age (in years)
35 - 44
45 - 54
55 - 64
65 - 74
75 - 84
85 - 94
95 - 104
105 - 114
No. of heart patients
28
5
12
10
9
10
29
8
(v)
Age (in years)
35 - 44
45 - 54
55 - 64
65 - 74
75 - 84
85 - 94
95 - 104
105 - 114
No. of heart patients
28
5
16
10
9
10
29
8
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)
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
No. of heart patients
16
9
22
21
20
(ii)
Age (in years)
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
No. of heart patients
16
22
20
21
9
(iii)
Age (in years)
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
No. of heart patients
16
20
22
21
9
(iv)
Age (in years)
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
No. of heart patients
16
20
25
21
9
(v)
Age (in years)
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
No. of heart patients
16
16
22
21
9
Question
5
5.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
11 - 21
21 - 31
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
Frequency
50
30
26
11
16
33
10
40
(ii)
Class-Interval
11 - 21
21 - 31
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
Frequency
50
40
26
11
14
33
10
30
(iii)
Class-Interval
11 - 21
21 - 31
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
Frequency
50
30
26
11
14
33
10
40
(iv)
Class-Interval
11 - 21
21 - 31
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
Frequency
50
30
21
11
14
33
10
40
(v)
Class-Interval
11 - 21
21 - 31
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
Frequency
50
30
11
26
14
33
10
40
Question
6
6.
Marks obtained by 113 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
60 - 70
No. of students
18
14
8
24
24
17
8
(ii)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
No. of students
18
14
8
19
24
17
8
(iii)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
No. of students
18
8
8
24
24
17
14
(iv)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
No. of students
18
14
10
24
24
17
8
(v)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
No. of students
18
8
14
24
24
17
8
Question
7
7.
The daily pocket expenses of 127 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
35 - 40
No. of students
20
27
13
27
16
9
8
7
(ii)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
20
27
27
13
21
9
8
7
(iii)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
20
27
27
13
16
9
8
7
(iv)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
20
27
32
13
16
9
8
7
(v)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
20
7
27
13
16
9
8
27
Question
8
8.
Heights of 212 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
26
47
7
46
44
31
16
(ii)
Height (in cm)
124 - 131
131 - 138
138 - 145
145 - 152
152 - 159
159 - 166
166 - 173
No. of students
26
47
5
41
44
31
16
(iii)
Height (in cm)
124 - 131
131 - 138
138 - 145
145 - 152
152 - 159
159 - 166
166 - 173
No. of students
26
47
7
41
44
31
16
(iv)
Height (in cm)
124 - 131
131 - 138
138 - 145
145 - 152
152 - 159
159 - 166
166 - 173
No. of students
26
16
7
41
44
31
47
(v)
Height (in cm)
124 - 131
131 - 138
138 - 145
145 - 152
152 - 159
159 - 166
166 - 173
No. of students
26
7
47
41
44
31
16
Question
9
9.
Heights of 136 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
130 - 137
138 - 145
146 - 153
154 - 161
162 - 169
No. of students
34
45
9
39
9
(ii)
Height (in cm)
130 - 137
138 - 145
146 - 153
154 - 161
162 - 169
No. of students
34
9
9
39
45
(iii)
Height (in cm)
130 - 137
138 - 145
146 - 153
154 - 161
162 - 169
No. of students
34
9
5
39
45
(iv)
Height (in cm)
130 - 137
138 - 145
146 - 153
154 - 161
162 - 169
No. of students
34
4
9
39
45
Question
10
10.
Heights of 154 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
52 - 62
62 - 72
72 - 82
82 - 92
92 - 102
No. of plants
41
22
14
29
46
(ii)
Height (in cm)
52 - 62
62 - 72
72 - 82
82 - 92
92 - 102
No. of plants
41
14
24
29
46
(iii)
Height (in cm)
52 - 62
62 - 72
72 - 82
82 - 92
92 - 102
No. of plants
41
24
14
29
46
(iv)
Height (in cm)
52 - 62
62 - 72
72 - 82
82 - 92
92 - 102
No. of plants
41
24
19
29
46
(v)
Height (in cm)
52 - 62
62 - 72
72 - 82
82 - 92
92 - 102
No. of plants
41
46
14
29
24
Question
11
11.
Heights of 164 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
50 - 58
59 - 67
68 - 76
77 - 85
86 - 94
95 - 103
104 - 112
No. of plants
20
29
7
16
18
35
39
(ii)
Height (in cm)
50 - 58
59 - 67
68 - 76
77 - 85
86 - 94
95 - 103
104 - 112
No. of plants
20
29
9
16
18
35
39
(iii)
Height (in cm)
50 - 58
59 - 67
68 - 76
77 - 85
86 - 94
95 - 103
104 - 112
No. of plants
20
29
7
21
18
35
39
(iv)
Height (in cm)
50 - 58
59 - 67
68 - 76
77 - 85
86 - 94
95 - 103
104 - 112
No. of plants
20
7
29
16
18
35
39
(v)
Height (in cm)
50 - 58
59 - 67
68 - 76
77 - 85
86 - 94
95 - 103
104 - 112
No. of plants
20
39
7
16
18
35
29
Question
12
12.
Ages of 195 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
18 - 25
25 - 32
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
No. of students
18
37
10
39
5
44
23
19
(ii)
Age (in years)
18 - 25
25 - 32
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
No. of students
18
37
10
39
10
44
23
19
(iii)
Age (in years)
18 - 25
25 - 32
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
No. of students
18
19
10
39
5
44
23
37
(iv)
Age (in years)
18 - 25
25 - 32
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
No. of students
18
37
14
39
5
44
23
19
(v)
Age (in years)
18 - 25
25 - 32
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
No. of students
18
37
39
10
5
44
23
19
Question
13
13.
Ages of 253 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
59 - 65
66 - 72
No. of students
9
42
27
28
45
38
41
23
(ii)
Age (in years)
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
59 - 65
66 - 72
No. of students
9
42
27
28
47
38
41
23
(iii)
Age (in years)
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
59 - 65
66 - 72
No. of students
9
23
27
28
45
38
41
42
(iv)
Age (in years)
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
59 - 65
66 - 72
No. of students
9
42
25
28
45
38
41
23
(v)
Age (in years)
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
59 - 65
66 - 72
No. of students
9
42
28
27
45
38
41
23
Question
14
14.
Scores of 248 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
76 - 85
85 - 94
94 - 103
103 - 112
112 - 121
121 - 130
130 - 139
139 - 148
No. of students
40
11
40
40
48
34
27
11
(ii)
Score
76 - 85
85 - 94
94 - 103
103 - 112
112 - 121
121 - 130
130 - 139
139 - 148
No. of students
40
11
40
40
45
34
27
11
(iii)
Score
76 - 85
85 - 94
94 - 103
103 - 112
112 - 121
121 - 130
130 - 139
139 - 148
No. of students
40
11
42
40
45
34
27
11
Question
15
15.
Scores of 241 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
86 - 94
95 - 103
104 - 112
113 - 121
122 - 130
131 - 139
No. of students
41
41
45
48
40
31
(ii)
Score
86 - 94
95 - 103
104 - 112
113 - 121
122 - 130
131 - 139
No. of students
41
31
40
48
40
41
(iii)
Score
86 - 94
95 - 103
104 - 112
113 - 121
122 - 130
131 - 139
No. of students
41
41
40
51
40
31
(iv)
Score
86 - 94
95 - 103
104 - 112
113 - 121
122 - 130
131 - 139
No. of students
41
40
41
48
40
31
(v)
Score
86 - 94
95 - 103
104 - 112
113 - 121
122 - 130
131 - 139
No. of students
41
41
40
48
40
31
Question
16
16.
Rainfall of 146 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
5 - 14
14 - 23
23 - 32
32 - 41
41 - 50
No. of days
38
13
44
39
9
(ii)
Rainfall (in mm)
5 - 14
14 - 23
23 - 32
32 - 41
41 - 50
No. of days
38
16
39
39
9
(iii)
Rainfall (in mm)
5 - 14
14 - 23
23 - 32
32 - 41
41 - 50
No. of days
38
16
44
39
9
(iv)
Rainfall (in mm)
5 - 14
14 - 23
23 - 32
32 - 41
41 - 50
No. of days
38
44
16
39
9
(v)
Rainfall (in mm)
5 - 14
14 - 23
23 - 32
32 - 41
41 - 50
No. of days
38
9
44
39
16
Question
17
17.
Rainfall of 159 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
No. of days
13
5
5
10
45
48
33
(ii)
Rainfall (in mm)
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
No. of days
13
33
5
10
45
48
5
(iii)
Rainfall (in mm)
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
No. of days
13
33
5
13
45
48
5
(iv)
Rainfall (in mm)
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
No. of days
13
33
1
10
45
48
5
(v)
Rainfall (in mm)
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
No. of days
13
5
33
10
45
48
5
Question
18
18.
Temperatures of 182 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
No. of days
48
32
44
14
47
(ii)
Temperature (in degree)
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
No. of days
48
41
32
14
47
(iii)
Temperature (in degree)
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
No. of days
48
30
41
14
47
(iv)
Temperature (in degree)
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
No. of days
48
47
41
14
32
(v)
Temperature (in degree)
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
No. of days
48
32
41
14
47
Question
19
19.
Temperatures of 151 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
No. of days
10
46
37
27
11
18
(ii)
Temperature (in degree)
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
No. of days
10
46
39
27
11
18
(iii)
Temperature (in degree)
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
No. of days
10
46
39
29
11
18
(iv)
Temperature (in degree)
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
No. of days
10
18
39
27
11
46
(v)
Temperature (in degree)
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
No. of days
10
39
46
27
11
18
Question
20
20.
Weights of 188 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
58 - 63
63 - 68
68 - 73
73 - 78
78 - 83
83 - 88
No. of students
39
42
22
23
14
50
(ii)
Weight (in kg)
58 - 63
63 - 68
68 - 73
73 - 78
78 - 83
83 - 88
No. of students
39
42
20
23
14
50
(iii)
Weight (in kg)
58 - 63
63 - 68
68 - 73
73 - 78
78 - 83
83 - 88
No. of students
39
50
20
23
14
42
(iv)
Weight (in kg)
58 - 63
63 - 68
68 - 73
73 - 78
78 - 83
83 - 88
No. of students
39
20
42
23
14
50
(v)
Weight (in kg)
58 - 63
63 - 68
68 - 73
73 - 78
78 - 83
83 - 88
No. of students
39
42
20
27
14
50
Question
21
21.
Weights of 205 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
51 - 59
60 - 68
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
No. of students
32
32
45
32
9
33
25
(ii)
Weight (in kg)
51 - 59
60 - 68
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
No. of students
32
32
42
29
9
33
25
(iii)
Weight (in kg)
51 - 59
60 - 68
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
No. of students
32
42
32
32
9
33
25
(iv)
Weight (in kg)
51 - 59
60 - 68
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
No. of students
32
25
42
32
9
33
32
(v)
Weight (in kg)
51 - 59
60 - 68
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
No. of students
32
32
42
32
9
33
25
Question
22
22.
Daily wages of 232 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
276 - 281
281 - 286
286 - 291
291 - 296
296 - 301
301 - 306
306 - 311
No. of labourers
48
23
30
41
17
44
29
(ii)
Daily wage (in Rs)
276 - 281
281 - 286
286 - 291
291 - 296
296 - 301
301 - 306
306 - 311
No. of labourers
48
30
23
41
17
44
29
(iii)
Daily wage (in Rs)
276 - 281
281 - 286
286 - 291
291 - 296
296 - 301
301 - 306
306 - 311
No. of labourers
48
23
30
38
17
44
29
(iv)
Daily wage (in Rs)
276 - 281
281 - 286
286 - 291
291 - 296
296 - 301
301 - 306
306 - 311
No. of labourers
48
29
30
41
17
44
23
(v)
Daily wage (in Rs)
276 - 281
281 - 286
286 - 291
291 - 296
296 - 301
301 - 306
306 - 311
No. of labourers
48
23
34
41
17
44
29
Question
23
23.
Daily wages of 123 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
269 - 278
279 - 288
289 - 298
299 - 308
309 - 318
No. of labourers
22
21
26
46
6
(ii)
Daily wage (in Rs)
269 - 278
279 - 288
289 - 298
299 - 308
309 - 318
No. of labourers
22
21
28
46
6
(iii)
Daily wage (in Rs)
269 - 278
279 - 288
289 - 298
299 - 308
309 - 318
No. of labourers
22
28
21
46
6
(iv)
Daily wage (in Rs)
269 - 278
279 - 288
289 - 298
299 - 308
309 - 318
No. of labourers
22
6
28
46
21
(v)
Daily wage (in Rs)
269 - 278
279 - 288
289 - 298
299 - 308
309 - 318
No. of labourers
22
17
28
46
6
Assignment Key
1) (ii)
2) (ii)
3) (iv)
4) (iii)
5) (iii)
6) (i)
7) (iii)
8) (iii)
9) (ii)
10) (iii)
11) (i)
12) (i)
13) (i)
14) (ii)
15) (v)
16) (iii)
17) (ii)
18) (v)
19) (ii)
20) (ii)
21) (v)
22) (i)
23) (ii)
