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)
mid point of classes and frequencies
(ii)
upper boundaries of classes and cumulative frequencies
(iii)
end points 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
42 - 48
49 - 55
56 - 62
63 - 69
70 - 76
77 - 83
84 - 90
91 - 97
Frequency
30
35
11
33
33
35
23
40
(ii)
Class-Interval
42 - 48
49 - 55
56 - 62
63 - 69
70 - 76
77 - 83
84 - 90
91 - 97
Frequency
30
35
33
11
31
35
23
40
(iii)
Class-Interval
42 - 48
49 - 55
56 - 62
63 - 69
70 - 76
77 - 83
84 - 90
91 - 97
Frequency
30
40
33
11
33
35
23
35
(iv)
Class-Interval
42 - 48
49 - 55
56 - 62
63 - 69
70 - 76
77 - 83
84 - 90
91 - 97
Frequency
30
35
33
11
33
35
23
40
(v)
Class-Interval
42 - 48
49 - 55
56 - 62
63 - 69
70 - 76
77 - 83
84 - 90
91 - 97
Frequency
30
35
30
11
33
35
23
40
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)
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
No. of heart patients
14
26
8
17
11
(ii)
Age (in years)
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
No. of heart patients
14
26
5
17
11
(iii)
Age (in years)
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
No. of heart patients
14
23
5
17
11
(iv)
Age (in years)
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
No. of heart patients
14
11
5
17
26
(v)
Age (in years)
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
No. of heart patients
14
5
26
17
11
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)
48 - 54
54 - 60
60 - 66
66 - 72
72 - 78
78 - 84
84 - 90
90 - 96
No. of heart patients
25
14
30
28
10
17
21
10
(ii)
Age (in years)
48 - 54
54 - 60
60 - 66
66 - 72
72 - 78
78 - 84
84 - 90
90 - 96
No. of heart patients
25
14
28
28
12
17
21
10
(iii)
Age (in years)
48 - 54
54 - 60
60 - 66
66 - 72
72 - 78
78 - 84
84 - 90
90 - 96
No. of heart patients
25
10
28
28
10
17
21
14
(iv)
Age (in years)
48 - 54
54 - 60
60 - 66
66 - 72
72 - 78
78 - 84
84 - 90
90 - 96
No. of heart patients
25
14
28
28
10
17
21
10
Question
5
5.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
91 - 101
101 - 111
Frequency
34
17
28
25
51
15
22
13
(ii)
Class-Interval
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
91 - 101
101 - 111
Frequency
34
17
25
28
48
15
22
13
(iii)
Class-Interval
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
91 - 101
101 - 111
Frequency
34
17
33
25
48
15
22
13
(iv)
Class-Interval
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
91 - 101
101 - 111
Frequency
34
13
28
25
48
15
22
17
(v)
Class-Interval
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
91 - 101
101 - 111
Frequency
34
17
28
25
48
15
22
13
Question
6
6.
Marks obtained by 80 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
13
18
6
16
12
15
(ii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
No. of students
13
6
18
16
12
15
(iii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
No. of students
13
15
6
16
12
18
(iv)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
No. of students
13
18
10
16
12
15
(v)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
No. of students
13
18
6
21
12
15
Question
7
7.
The daily pocket expenses of 92 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
10
23
20
19
20
(ii)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
No. of students
10
20
24
19
23
(iii)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
No. of students
10
20
20
19
23
(iv)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
No. of students
10
17
20
19
23
Question
8
8.
Heights of 143 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
124 - 133
133 - 142
142 - 151
151 - 160
160 - 169
No. of students
7
13
46
30
47
(ii)
Height (in cm)
124 - 133
133 - 142
142 - 151
151 - 160
160 - 169
No. of students
7
46
47
30
13
(iii)
Height (in cm)
124 - 133
133 - 142
142 - 151
151 - 160
160 - 169
No. of students
7
50
46
30
13
(iv)
Height (in cm)
124 - 133
133 - 142
142 - 151
151 - 160
160 - 169
No. of students
7
47
43
30
13
(v)
Height (in cm)
124 - 133
133 - 142
142 - 151
151 - 160
160 - 169
No. of students
7
47
46
30
13
Question
9
9.
Heights of 145 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
124 - 133
134 - 143
144 - 153
154 - 163
164 - 173
174 - 183
No. of students
7
27
26
10
42
33
(ii)
Height (in cm)
124 - 133
134 - 143
144 - 153
154 - 163
164 - 173
174 - 183
No. of students
7
26
27
10
42
33
(iii)
Height (in cm)
124 - 133
134 - 143
144 - 153
154 - 163
164 - 173
174 - 183
No. of students
7
33
27
10
42
26
(iv)
Height (in cm)
124 - 133
134 - 143
144 - 153
154 - 163
164 - 173
174 - 183
No. of students
7
26
27
8
42
33
(v)
Height (in cm)
124 - 133
134 - 143
144 - 153
154 - 163
164 - 173
174 - 183
No. of students
7
26
29
10
42
33
Question
10
10.
Heights of 115 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
56 - 65
65 - 74
74 - 83
83 - 92
92 - 101
No. of plants
32
25
25
25
8
(ii)
Height (in cm)
56 - 65
65 - 74
74 - 83
83 - 92
92 - 101
No. of plants
32
8
25
25
25
(iii)
Height (in cm)
56 - 65
65 - 74
74 - 83
83 - 92
92 - 101
No. of plants
32
21
25
25
8
(iv)
Height (in cm)
56 - 65
65 - 74
74 - 83
83 - 92
92 - 101
No. of plants
32
25
30
25
8
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)
66 - 72
73 - 79
80 - 86
87 - 93
94 - 100
101 - 107
108 - 114
No. of plants
36
43
48
25
22
8
18
(ii)
Height (in cm)
66 - 72
73 - 79
80 - 86
87 - 93
94 - 100
101 - 107
108 - 114
No. of plants
36
43
45
22
22
8
18
(iii)
Height (in cm)
66 - 72
73 - 79
80 - 86
87 - 93
94 - 100
101 - 107
108 - 114
No. of plants
36
43
45
25
22
8
18
(iv)
Height (in cm)
66 - 72
73 - 79
80 - 86
87 - 93
94 - 100
101 - 107
108 - 114
No. of plants
36
18
45
25
22
8
43
(v)
Height (in cm)
66 - 72
73 - 79
80 - 86
87 - 93
94 - 100
101 - 107
108 - 114
No. of plants
36
45
43
25
22
8
18
Question
12
12.
Ages of 163 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
10
17
17
7
9
49
27
23
(ii)
Age (in years)
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
No. of students
10
17
21
7
9
49
27
23
(iii)
Age (in years)
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
No. of students
10
17
7
21
9
49
27
23
(iv)
Age (in years)
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
No. of students
10
23
21
7
9
49
27
17
(v)
Age (in years)
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
No. of students
10
17
21
7
13
49
27
23
Question
13
13.
Ages of 213 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
18 - 25
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
No. of students
45
40
16
35
26
10
45
(ii)
Age (in years)
18 - 25
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
No. of students
45
16
40
31
26
10
45
(iii)
Age (in years)
18 - 25
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
No. of students
45
45
16
31
26
10
40
(iv)
Age (in years)
18 - 25
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
No. of students
45
40
19
31
26
10
45
(v)
Age (in years)
18 - 25
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
66 - 73
No. of students
45
40
16
31
26
10
45
Question
14
14.
Scores of 149 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
90 - 97
97 - 104
104 - 111
111 - 118
118 - 125
No. of students
23
45
8
32
41
(ii)
Score
90 - 97
97 - 104
104 - 111
111 - 118
118 - 125
No. of students
23
41
45
32
8
(iii)
Score
90 - 97
97 - 104
104 - 111
111 - 118
118 - 125
No. of students
23
8
50
32
41
(iv)
Score
90 - 97
97 - 104
104 - 111
111 - 118
118 - 125
No. of students
23
12
45
32
41
(v)
Score
90 - 97
97 - 104
104 - 111
111 - 118
118 - 125
No. of students
23
8
45
32
41
Question
15
15.
Scores of 209 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
71 - 78
79 - 86
87 - 94
95 - 102
103 - 110
111 - 118
119 - 126
No. of students
45
28
10
13
34
30
45
(ii)
Score
71 - 78
79 - 86
87 - 94
95 - 102
103 - 110
111 - 118
119 - 126
No. of students
45
45
10
17
34
30
28
(iii)
Score
71 - 78
79 - 86
87 - 94
95 - 102
103 - 110
111 - 118
119 - 126
No. of students
45
28
13
17
34
30
45
(iv)
Score
71 - 78
79 - 86
87 - 94
95 - 102
103 - 110
111 - 118
119 - 126
No. of students
45
10
28
17
34
30
45
(v)
Score
71 - 78
79 - 86
87 - 94
95 - 102
103 - 110
111 - 118
119 - 126
No. of students
45
28
10
17
34
30
45
Question
16
16.
Rainfall of 223 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
No. of days
8
23
47
10
32
38
22
39
(ii)
Rainfall (in mm)
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
No. of days
8
23
49
10
36
38
22
39
(iii)
Rainfall (in mm)
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
No. of days
8
23
10
47
36
38
22
39
(iv)
Rainfall (in mm)
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
No. of days
8
39
47
10
36
38
22
23
(v)
Rainfall (in mm)
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
No. of days
8
23
47
10
36
38
22
39
Question
17
17.
Rainfall of 180 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
15 - 22
23 - 30
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
71 - 78
No. of days
20
20
15
18
43
23
21
20
(ii)
Rainfall (in mm)
15 - 22
23 - 30
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
71 - 78
No. of days
20
20
18
15
43
23
21
20
(iii)
Rainfall (in mm)
15 - 22
23 - 30
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
71 - 78
No. of days
20
20
18
15
39
23
21
20
(iv)
Rainfall (in mm)
15 - 22
23 - 30
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
71 - 78
No. of days
20
20
20
15
43
23
21
20
Question
18
18.
Temperatures of 272 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
76 - 83
No. of days
14
47
43
40
34
45
13
31
(ii)
Temperature (in degree)
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
76 - 83
No. of days
14
47
48
40
34
45
13
31
(iii)
Temperature (in degree)
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
76 - 83
No. of days
14
47
40
48
34
45
13
31
(iv)
Temperature (in degree)
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
76 - 83
No. of days
14
47
48
40
39
45
13
31
(v)
Temperature (in degree)
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
76 - 83
No. of days
14
31
48
40
34
45
13
47
Question
19
19.
Temperatures of 199 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
No. of days
33
49
40
23
39
15
(ii)
Temperature (in degree)
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
No. of days
33
15
35
23
39
49
(iii)
Temperature (in degree)
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
No. of days
33
15
40
23
39
49
(iv)
Temperature (in degree)
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
No. of days
33
15
40
28
39
49
(v)
Temperature (in degree)
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
No. of days
33
40
15
23
39
49
Question
20
20.
Weights of 200 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
120 - 130
No. of students
24
33
49
26
31
17
17
(ii)
Weight (in kg)
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
120 - 130
No. of students
24
33
45
29
31
17
17
(iii)
Weight (in kg)
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
120 - 130
No. of students
24
49
33
29
31
17
17
(iv)
Weight (in kg)
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
120 - 130
No. of students
24
17
49
29
31
17
33
(v)
Weight (in kg)
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
120 - 130
No. of students
24
33
49
29
31
17
17
Question
21
21.
Weights of 184 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
42 - 51
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
102 - 111
112 - 121
No. of students
8
31
42
17
19
24
8
35
(ii)
Weight (in kg)
42 - 51
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
102 - 111
112 - 121
No. of students
8
31
22
42
19
24
8
35
(iii)
Weight (in kg)
42 - 51
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
102 - 111
112 - 121
No. of students
8
31
17
42
15
24
8
35
(iv)
Weight (in kg)
42 - 51
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
102 - 111
112 - 121
No. of students
8
35
17
42
19
24
8
31
(v)
Weight (in kg)
42 - 51
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
102 - 111
112 - 121
No. of students
8
31
17
42
19
24
8
35
Question
22
22.
Daily wages of 248 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
268 - 278
278 - 288
288 - 298
298 - 308
308 - 318
318 - 328
328 - 338
338 - 348
No. of labourers
16
46
36
19
11
43
32
42
(ii)
Daily wage (in Rs)
268 - 278
278 - 288
288 - 298
298 - 308
308 - 318
318 - 328
328 - 338
338 - 348
No. of labourers
16
46
36
19
14
43
32
42
(iii)
Daily wage (in Rs)
268 - 278
278 - 288
288 - 298
298 - 308
308 - 318
318 - 328
328 - 338
338 - 348
No. of labourers
16
42
36
19
14
43
32
46
(iv)
Daily wage (in Rs)
268 - 278
278 - 288
288 - 298
298 - 308
308 - 318
318 - 328
328 - 338
338 - 348
No. of labourers
16
46
19
36
14
43
32
42
(v)
Daily wage (in Rs)
268 - 278
278 - 288
288 - 298
298 - 308
308 - 318
318 - 328
328 - 338
338 - 348
No. of labourers
16
46
32
19
14
43
32
42
Question
23
23.
Daily wages of 118 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
220 - 226
227 - 233
234 - 240
241 - 247
248 - 254
255 - 261
No. of labourers
5
5
25
20
37
22
(ii)
Daily wage (in Rs)
220 - 226
227 - 233
234 - 240
241 - 247
248 - 254
255 - 261
No. of labourers
5
25
5
24
37
22
(iii)
Daily wage (in Rs)
220 - 226
227 - 233
234 - 240
241 - 247
248 - 254
255 - 261
No. of labourers
5
22
25
24
37
5
(iv)
Daily wage (in Rs)
220 - 226
227 - 233
234 - 240
241 - 247
248 - 254
255 - 261
No. of labourers
5
5
25
24
37
22
(v)
Daily wage (in Rs)
220 - 226
227 - 233
234 - 240
241 - 247
248 - 254
255 - 261
No. of labourers
5
5
30
24
37
22
Assignment Key
1) (i)
2) (iv)
3) (ii)
4) (iv)
5) (v)
6) (i)
7) (iii)
8) (v)
9) (ii)
10) (i)
11) (iii)
12) (ii)
13) (v)
14) (v)
15) (v)
16) (v)
17) (ii)
18) (ii)
19) (iii)
20) (v)
21) (v)
22) (ii)
23) (iv)
