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)
upper boundaries of classes and cumulative frequencies
(iii)
mid point of classes and frequencies
(iv)
end points of classes and frequencies
Question
2
2.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
75 - 82
Frequency
30
33
12
14
41
25
17
(ii)
Class-Interval
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
75 - 82
Frequency
30
12
33
14
41
25
17
(iii)
Class-Interval
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
75 - 82
Frequency
30
17
12
14
41
25
33
(iv)
Class-Interval
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
75 - 82
Frequency
30
33
8
14
41
25
17
(v)
Class-Interval
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
75 - 82
Frequency
30
33
12
11
41
25
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)
18 - 26
27 - 35
36 - 44
45 - 53
54 - 62
63 - 71
No. of heart patients
20
8
29
13
6
10
(ii)
Age (in years)
18 - 26
27 - 35
36 - 44
45 - 53
54 - 62
63 - 71
No. of heart patients
20
10
26
13
6
8
(iii)
Age (in years)
18 - 26
27 - 35
36 - 44
45 - 53
54 - 62
63 - 71
No. of heart patients
20
8
26
13
6
10
(iv)
Age (in years)
18 - 26
27 - 35
36 - 44
45 - 53
54 - 62
63 - 71
No. of heart patients
20
8
26
9
6
10
(v)
Age (in years)
18 - 26
27 - 35
36 - 44
45 - 53
54 - 62
63 - 71
No. of heart patients
20
26
8
13
6
10
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)
20 - 29
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
74 - 83
83 - 92
No. of heart patients
24
19
6
18
21
16
8
27
(ii)
Age (in years)
20 - 29
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
74 - 83
83 - 92
No. of heart patients
24
27
18
6
21
16
8
19
(iii)
Age (in years)
20 - 29
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
74 - 83
83 - 92
No. of heart patients
24
19
18
6
21
16
8
27
(iv)
Age (in years)
20 - 29
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
74 - 83
83 - 92
No. of heart patients
24
19
21
6
21
16
8
27
(v)
Age (in years)
20 - 29
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
74 - 83
83 - 92
No. of heart patients
24
19
18
6
24
16
8
27
Question
5
5.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
Frequency
26
43
35
35
49
(ii)
Class-Interval
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
Frequency
26
49
43
35
35
(iii)
Class-Interval
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
Frequency
26
38
43
35
49
(iv)
Class-Interval
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
Frequency
26
35
43
35
49
(v)
Class-Interval
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
Frequency
26
35
48
35
49
Question
6
6.
Marks obtained by 157 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
19
27
14
19
26
8
23
21
(ii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
19
27
14
19
22
8
23
21
(iii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
19
21
14
19
26
8
23
27
(iv)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
19
27
9
19
26
8
23
21
(v)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
19
27
19
14
26
8
23
21
Question
7
7.
The daily pocket expenses of 110 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
No. of students
13
13
27
24
6
27
(ii)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
No. of students
13
27
13
21
6
27
(iii)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
No. of students
13
27
15
24
6
27
(iv)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
No. of students
13
27
13
24
6
27
Question
8
8.
Heights of 224 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
126 - 131
131 - 136
136 - 141
141 - 146
146 - 151
151 - 156
156 - 161
No. of students
8
42
14
37
42
44
37
(ii)
Height (in cm)
126 - 131
131 - 136
136 - 141
141 - 146
146 - 151
151 - 156
156 - 161
No. of students
8
37
14
32
42
44
42
(iii)
Height (in cm)
126 - 131
131 - 136
136 - 141
141 - 146
146 - 151
151 - 156
156 - 161
No. of students
8
37
14
37
42
44
42
(iv)
Height (in cm)
126 - 131
131 - 136
136 - 141
141 - 146
146 - 151
151 - 156
156 - 161
No. of students
8
37
16
37
42
44
42
(v)
Height (in cm)
126 - 131
131 - 136
136 - 141
141 - 146
146 - 151
151 - 156
156 - 161
No. of students
8
14
37
37
42
44
42
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 - 139
140 - 149
150 - 159
160 - 169
170 - 179
No. of students
37
38
34
7
20
(ii)
Height (in cm)
130 - 139
140 - 149
150 - 159
160 - 169
170 - 179
No. of students
37
40
34
7
20
(iii)
Height (in cm)
130 - 139
140 - 149
150 - 159
160 - 169
170 - 179
No. of students
37
20
34
7
38
(iv)
Height (in cm)
130 - 139
140 - 149
150 - 159
160 - 169
170 - 179
No. of students
37
34
38
7
20
(v)
Height (in cm)
130 - 139
140 - 149
150 - 159
160 - 169
170 - 179
No. of students
37
38
29
7
20
Question
10
10.
Heights of 169 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
54 - 59
59 - 64
64 - 69
69 - 74
74 - 79
79 - 84
84 - 89
89 - 94
No. of plants
23
40
20
15
8
31
11
21
(ii)
Height (in cm)
54 - 59
59 - 64
64 - 69
69 - 74
74 - 79
79 - 84
84 - 89
89 - 94
No. of plants
23
40
20
15
5
31
11
21
(iii)
Height (in cm)
54 - 59
59 - 64
64 - 69
69 - 74
74 - 79
79 - 84
84 - 89
89 - 94
No. of plants
23
40
24
15
8
31
11
21
(iv)
Height (in cm)
54 - 59
59 - 64
64 - 69
69 - 74
74 - 79
79 - 84
84 - 89
89 - 94
No. of plants
23
21
20
15
8
31
11
40
(v)
Height (in cm)
54 - 59
59 - 64
64 - 69
69 - 74
74 - 79
79 - 84
84 - 89
89 - 94
No. of plants
23
40
15
20
8
31
11
21
Question
11
11.
Heights of 225 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
107 - 113
114 - 120
No. of plants
33
27
36
25
47
20
10
27
(ii)
Height (in cm)
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
107 - 113
114 - 120
No. of plants
33
27
25
36
47
20
10
27
(iii)
Height (in cm)
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
107 - 113
114 - 120
No. of plants
33
27
30
36
47
20
10
27
(iv)
Height (in cm)
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
107 - 113
114 - 120
No. of plants
33
27
25
36
45
20
10
27
Question
12
12.
Ages of 172 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
17 - 26
26 - 35
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
No. of students
8
6
45
48
24
29
17
(ii)
Age (in years)
17 - 26
26 - 35
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
No. of students
8
40
6
48
24
29
17
(iii)
Age (in years)
17 - 26
26 - 35
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
No. of students
8
6
40
53
24
29
17
(iv)
Age (in years)
17 - 26
26 - 35
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
No. of students
8
6
40
48
24
29
17
(v)
Age (in years)
17 - 26
26 - 35
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
No. of students
8
17
40
48
24
29
6
Question
13
13.
Ages of 164 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
13 - 18
19 - 24
25 - 30
31 - 36
37 - 42
No. of students
17
38
34
47
28
(ii)
Age (in years)
13 - 18
19 - 24
25 - 30
31 - 36
37 - 42
No. of students
17
28
34
47
38
(iii)
Age (in years)
13 - 18
19 - 24
25 - 30
31 - 36
37 - 42
No. of students
17
38
36
47
28
(iv)
Age (in years)
13 - 18
19 - 24
25 - 30
31 - 36
37 - 42
No. of students
17
34
34
47
28
(v)
Age (in years)
13 - 18
19 - 24
25 - 30
31 - 36
37 - 42
No. of students
17
34
38
47
28
Question
14
14.
Scores of 249 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
131 - 139
No. of students
17
46
42
13
34
42
11
40
(ii)
Score
75 - 83
83 - 91
91 - 99
99 - 107
107 - 115
115 - 123
123 - 131
131 - 139
No. of students
17
46
38
13
38
42
11
40
(iii)
Score
75 - 83
83 - 91
91 - 99
99 - 107
107 - 115
115 - 123
123 - 131
131 - 139
No. of students
17
40
42
13
38
42
11
46
(iv)
Score
75 - 83
83 - 91
91 - 99
99 - 107
107 - 115
115 - 123
123 - 131
131 - 139
No. of students
17
46
13
42
38
42
11
40
(v)
Score
75 - 83
83 - 91
91 - 99
99 - 107
107 - 115
115 - 123
123 - 131
131 - 139
No. of students
17
46
42
13
38
42
11
40
Question
15
15.
Scores of 192 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
75 - 82
83 - 90
91 - 98
99 - 106
107 - 114
115 - 122
No. of students
38
27
48
22
13
49
(ii)
Score
75 - 82
83 - 90
91 - 98
99 - 106
107 - 114
115 - 122
No. of students
38
27
43
22
13
49
(iii)
Score
75 - 82
83 - 90
91 - 98
99 - 106
107 - 114
115 - 122
No. of students
38
43
27
22
13
49
(iv)
Score
75 - 82
83 - 90
91 - 98
99 - 106
107 - 114
115 - 122
No. of students
38
27
43
26
13
49
(v)
Score
75 - 82
83 - 90
91 - 98
99 - 106
107 - 114
115 - 122
No. of students
38
49
43
22
13
27
Question
16
16.
Rainfall of 188 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
No. of days
18
24
42
27
30
33
12
(ii)
Rainfall (in mm)
9 - 16
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
51 - 58
No. of days
18
44
24
27
30
33
12
(iii)
Rainfall (in mm)
9 - 16
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
51 - 58
No. of days
18
24
44
27
30
33
12
(iv)
Rainfall (in mm)
9 - 16
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
51 - 58
No. of days
18
24
44
30
30
33
12
(v)
Rainfall (in mm)
9 - 16
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
51 - 58
No. of days
18
12
44
27
30
33
24
Question
17
17.
Rainfall of 305 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
9 - 19
20 - 30
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
No. of days
50
41
40
27
31
43
34
35
(ii)
Rainfall (in mm)
9 - 19
20 - 30
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
No. of days
50
41
42
27
35
43
34
35
(iii)
Rainfall (in mm)
9 - 19
20 - 30
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
No. of days
50
41
27
40
35
43
34
35
(iv)
Rainfall (in mm)
9 - 19
20 - 30
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
No. of days
50
35
40
27
35
43
34
41
(v)
Rainfall (in mm)
9 - 19
20 - 30
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
No. of days
50
41
40
27
35
43
34
35
Question
18
18.
Temperatures of 201 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
64 - 71
71 - 78
No. of days
20
46
44
14
15
41
21
(ii)
Temperature (in degree)
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
64 - 71
71 - 78
No. of days
20
46
44
11
15
41
21
(iii)
Temperature (in degree)
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
64 - 71
71 - 78
No. of days
20
21
44
14
15
41
46
(iv)
Temperature (in degree)
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
64 - 71
71 - 78
No. of days
20
44
46
14
15
41
21
(v)
Temperature (in degree)
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
64 - 71
71 - 78
No. of days
20
46
47
14
15
41
21
Question
19
19.
Temperatures of 189 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
29 - 35
36 - 42
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
No. of days
5
20
35
50
17
19
43
(ii)
Temperature (in degree)
29 - 35
36 - 42
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
No. of days
5
35
20
46
17
19
43
(iii)
Temperature (in degree)
29 - 35
36 - 42
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
No. of days
5
35
17
50
17
19
43
(iv)
Temperature (in degree)
29 - 35
36 - 42
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
No. of days
5
43
20
50
17
19
35
(v)
Temperature (in degree)
29 - 35
36 - 42
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
No. of days
5
35
20
50
17
19
43
Question
20
20.
Weights of 146 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
58 - 65
65 - 72
72 - 79
79 - 86
86 - 93
No. of students
42
16
10
41
33
(ii)
Weight (in kg)
58 - 65
65 - 72
72 - 79
79 - 86
86 - 93
No. of students
42
14
16
41
33
(iii)
Weight (in kg)
58 - 65
65 - 72
72 - 79
79 - 86
86 - 93
No. of students
42
33
14
41
16
(iv)
Weight (in kg)
58 - 65
65 - 72
72 - 79
79 - 86
86 - 93
No. of students
42
20
14
41
33
(v)
Weight (in kg)
58 - 65
65 - 72
72 - 79
79 - 86
86 - 93
No. of students
42
16
14
41
33
Question
21
21.
Weights of 209 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
93 - 100
101 - 108
109 - 116
No. of students
5
50
26
22
28
44
14
25
(ii)
Weight (in kg)
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
93 - 100
101 - 108
109 - 116
No. of students
5
50
22
21
28
44
14
25
(iii)
Weight (in kg)
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
93 - 100
101 - 108
109 - 116
No. of students
5
25
21
22
28
44
14
50
(iv)
Weight (in kg)
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
93 - 100
101 - 108
109 - 116
No. of students
5
50
21
22
28
44
14
25
(v)
Weight (in kg)
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
93 - 100
101 - 108
109 - 116
No. of students
5
50
21
22
32
44
14
25
Question
22
22.
Daily wages of 186 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
204 - 213
213 - 222
222 - 231
231 - 240
240 - 249
249 - 258
258 - 267
No. of labourers
21
45
12
19
7
33
49
(ii)
Daily wage (in Rs)
204 - 213
213 - 222
222 - 231
231 - 240
240 - 249
249 - 258
258 - 267
No. of labourers
21
45
14
19
7
33
49
(iii)
Daily wage (in Rs)
204 - 213
213 - 222
222 - 231
231 - 240
240 - 249
249 - 258
258 - 267
No. of labourers
21
12
45
19
7
33
49
(iv)
Daily wage (in Rs)
204 - 213
213 - 222
222 - 231
231 - 240
240 - 249
249 - 258
258 - 267
No. of labourers
21
49
12
19
7
33
45
(v)
Daily wage (in Rs)
204 - 213
213 - 222
222 - 231
231 - 240
240 - 249
249 - 258
258 - 267
No. of labourers
21
45
12
21
7
33
49
Question
23
23.
Daily wages of 138 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
260 - 266
267 - 273
274 - 280
281 - 287
288 - 294
295 - 301
No. of labourers
6
12
11
41
47
21
(ii)
Daily wage (in Rs)
260 - 266
267 - 273
274 - 280
281 - 287
288 - 294
295 - 301
No. of labourers
6
21
11
37
47
12
(iii)
Daily wage (in Rs)
260 - 266
267 - 273
274 - 280
281 - 287
288 - 294
295 - 301
No. of labourers
6
11
21
41
47
12
(iv)
Daily wage (in Rs)
260 - 266
267 - 273
274 - 280
281 - 287
288 - 294
295 - 301
No. of labourers
6
21
13
41
47
12
(v)
Daily wage (in Rs)
260 - 266
267 - 273
274 - 280
281 - 287
288 - 294
295 - 301
No. of labourers
6
21
11
41
47
12
Assignment Key
1) (iii)
2) (i)
3) (iii)
4) (iii)
5) (iv)
6) (i)
7) (iv)
8) (iii)
9) (i)
10) (i)
11) (ii)
12) (iv)
13) (i)
14) (v)
15) (ii)
16) (iii)
17) (v)
18) (i)
19) (v)
20) (v)
21) (iv)
22) (i)
23) (v)
