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
47 - 56
57 - 66
67 - 76
77 - 86
87 - 96
97 - 106
107 - 116
117 - 126
Frequency
36
21
45
37
31
10
31
50
(ii)
Class-Interval
47 - 56
57 - 66
67 - 76
77 - 86
87 - 96
97 - 106
107 - 116
117 - 126
Frequency
36
21
37
41
31
10
31
50
(iii)
Class-Interval
47 - 56
57 - 66
67 - 76
77 - 86
87 - 96
97 - 106
107 - 116
117 - 126
Frequency
36
50
41
37
31
10
31
21
(iv)
Class-Interval
47 - 56
57 - 66
67 - 76
77 - 86
87 - 96
97 - 106
107 - 116
117 - 126
Frequency
36
21
41
37
31
10
31
50
(v)
Class-Interval
47 - 56
57 - 66
67 - 76
77 - 86
87 - 96
97 - 106
107 - 116
117 - 126
Frequency
36
21
41
37
34
10
31
50
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)
29 - 37
38 - 46
47 - 55
56 - 64
65 - 73
74 - 82
83 - 91
92 - 100
No. of heart patients
25
21
11
5
27
12
13
29
(ii)
Age (in years)
29 - 37
38 - 46
47 - 55
56 - 64
65 - 73
74 - 82
83 - 91
92 - 100
No. of heart patients
25
29
7
5
27
12
13
21
(iii)
Age (in years)
29 - 37
38 - 46
47 - 55
56 - 64
65 - 73
74 - 82
83 - 91
92 - 100
No. of heart patients
25
21
5
7
27
12
13
29
(iv)
Age (in years)
29 - 37
38 - 46
47 - 55
56 - 64
65 - 73
74 - 82
83 - 91
92 - 100
No. of heart patients
25
21
7
5
27
12
13
29
(v)
Age (in years)
29 - 37
38 - 46
47 - 55
56 - 64
65 - 73
74 - 82
83 - 91
92 - 100
No. of heart patients
25
21
7
5
32
12
13
29
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)
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
69 - 74
No. of heart patients
24
21
29
20
5
15
(ii)
Age (in years)
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
69 - 74
No. of heart patients
24
15
24
20
5
21
(iii)
Age (in years)
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
69 - 74
No. of heart patients
24
21
24
15
5
15
(iv)
Age (in years)
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
69 - 74
No. of heart patients
24
21
24
20
5
15
(v)
Age (in years)
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
69 - 74
No. of heart patients
24
24
21
20
5
15
Question
5
5.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
30 - 34
34 - 38
38 - 42
42 - 46
46 - 50
50 - 54
54 - 58
58 - 62
Frequency
22
12
29
31
13
19
24
39
(ii)
Class-Interval
30 - 34
34 - 38
38 - 42
42 - 46
46 - 50
50 - 54
54 - 58
58 - 62
Frequency
22
39
31
29
13
19
24
12
(iii)
Class-Interval
30 - 34
34 - 38
38 - 42
42 - 46
46 - 50
50 - 54
54 - 58
58 - 62
Frequency
22
39
29
31
13
19
24
12
(iv)
Class-Interval
30 - 34
34 - 38
38 - 42
42 - 46
46 - 50
50 - 54
54 - 58
58 - 62
Frequency
22
39
27
31
13
19
24
12
(v)
Class-Interval
30 - 34
34 - 38
38 - 42
42 - 46
46 - 50
50 - 54
54 - 58
58 - 62
Frequency
22
39
29
31
17
19
24
12
Question
6
6.
Marks obtained by 73 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
No. of students
7
25
16
21
9
(ii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
No. of students
7
25
11
21
9
(iii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
No. of students
7
21
11
21
9
(iv)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
No. of students
7
11
25
21
9
(v)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
No. of students
7
9
11
21
25
Question
7
7.
The daily pocket expenses of 155 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
50 - 60
60 - 70
70 - 80
No. of students
8
19
24
18
15
22
22
29
(ii)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
8
19
19
18
13
22
22
29
(iii)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
8
29
24
18
13
22
22
19
(iv)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
8
19
18
24
13
22
22
29
(v)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
8
19
24
18
13
22
22
29
Question
8
8.
Heights of 230 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
123 - 128
128 - 133
133 - 138
138 - 143
143 - 148
148 - 153
153 - 158
No. of students
38
38
27
39
20
41
27
(ii)
Height (in cm)
123 - 128
128 - 133
133 - 138
138 - 143
143 - 148
148 - 153
153 - 158
No. of students
38
27
38
39
20
41
27
(iii)
Height (in cm)
123 - 128
128 - 133
133 - 138
138 - 143
143 - 148
148 - 153
153 - 158
No. of students
38
38
27
37
20
41
27
(iv)
Height (in cm)
123 - 128
128 - 133
133 - 138
138 - 143
143 - 148
148 - 153
153 - 158
No. of students
38
38
24
39
20
41
27
(v)
Height (in cm)
123 - 128
128 - 133
133 - 138
138 - 143
143 - 148
148 - 153
153 - 158
No. of students
38
27
27
39
20
41
38
Question
9
9.
Heights of 231 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
122 - 130
131 - 139
140 - 148
149 - 157
158 - 166
167 - 175
176 - 184
185 - 193
No. of students
24
5
40
29
50
23
42
20
(ii)
Height (in cm)
122 - 130
131 - 139
140 - 148
149 - 157
158 - 166
167 - 175
176 - 184
185 - 193
No. of students
24
20
38
29
50
23
42
5
(iii)
Height (in cm)
122 - 130
131 - 139
140 - 148
149 - 157
158 - 166
167 - 175
176 - 184
185 - 193
No. of students
24
5
38
29
50
23
42
20
(iv)
Height (in cm)
122 - 130
131 - 139
140 - 148
149 - 157
158 - 166
167 - 175
176 - 184
185 - 193
No. of students
24
5
29
38
50
23
42
20
(v)
Height (in cm)
122 - 130
131 - 139
140 - 148
149 - 157
158 - 166
167 - 175
176 - 184
185 - 193
No. of students
24
5
38
29
52
23
42
20
Question
10
10.
Heights of 172 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
70 - 76
76 - 82
82 - 88
88 - 94
94 - 100
No. of plants
30
31
43
48
23
(ii)
Height (in cm)
70 - 76
76 - 82
82 - 88
88 - 94
94 - 100
No. of plants
30
31
40
48
23
(iii)
Height (in cm)
70 - 76
76 - 82
82 - 88
88 - 94
94 - 100
No. of plants
30
28
40
48
23
(iv)
Height (in cm)
70 - 76
76 - 82
82 - 88
88 - 94
94 - 100
No. of plants
30
23
40
48
31
(v)
Height (in cm)
70 - 76
76 - 82
82 - 88
88 - 94
94 - 100
No. of plants
30
40
31
48
23
Question
11
11.
Heights of 178 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
53 - 61
62 - 70
71 - 79
80 - 88
89 - 97
No. of plants
32
15
47
38
46
(ii)
Height (in cm)
53 - 61
62 - 70
71 - 79
80 - 88
89 - 97
No. of plants
32
46
47
38
15
(iii)
Height (in cm)
53 - 61
62 - 70
71 - 79
80 - 88
89 - 97
No. of plants
32
46
45
38
15
(iv)
Height (in cm)
53 - 61
62 - 70
71 - 79
80 - 88
89 - 97
No. of plants
32
43
47
38
15
(v)
Height (in cm)
53 - 61
62 - 70
71 - 79
80 - 88
89 - 97
No. of plants
32
47
46
38
15
Question
12
12.
Ages of 126 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
63 - 73
No. of students
6
16
8
41
31
28
(ii)
Age (in years)
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
63 - 73
No. of students
6
28
8
37
31
16
(iii)
Age (in years)
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
63 - 73
No. of students
6
16
6
37
31
28
(iv)
Age (in years)
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
63 - 73
No. of students
6
16
8
37
31
28
(v)
Age (in years)
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
63 - 73
No. of students
6
8
16
37
31
28
Question
13
13.
Ages of 239 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
No. of students
20
46
11
42
6
46
47
21
(ii)
Age (in years)
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
No. of students
20
21
13
42
6
46
47
46
(iii)
Age (in years)
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
No. of students
20
21
11
42
3
46
47
46
(iv)
Age (in years)
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
No. of students
20
21
11
42
6
46
47
46
(v)
Age (in years)
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
No. of students
20
21
42
11
6
46
47
46
Question
14
14.
Scores of 201 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
71 - 76
76 - 81
81 - 86
86 - 91
91 - 96
96 - 101
101 - 106
No. of students
45
26
8
20
38
39
23
(ii)
Score
71 - 76
76 - 81
81 - 86
86 - 91
91 - 96
96 - 101
101 - 106
No. of students
45
26
12
22
38
39
23
(iii)
Score
71 - 76
76 - 81
81 - 86
86 - 91
91 - 96
96 - 101
101 - 106
No. of students
45
26
8
22
38
39
23
(iv)
Score
71 - 76
76 - 81
81 - 86
86 - 91
91 - 96
96 - 101
101 - 106
No. of students
45
8
26
22
38
39
23
(v)
Score
71 - 76
76 - 81
81 - 86
86 - 91
91 - 96
96 - 101
101 - 106
No. of students
45
23
8
22
38
39
26
Question
15
15.
Scores of 170 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
107 - 113
No. of students
23
30
21
48
21
27
(ii)
Score
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
107 - 113
No. of students
23
27
21
53
21
30
(iii)
Score
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
107 - 113
No. of students
23
21
27
48
21
30
(iv)
Score
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
107 - 113
No. of students
23
27
21
48
21
30
(v)
Score
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
107 - 113
No. of students
23
27
25
48
21
30
Question
16
16.
Rainfall of 181 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
14 - 24
24 - 34
34 - 44
44 - 54
54 - 64
No. of days
48
31
29
32
41
(ii)
Rainfall (in mm)
14 - 24
24 - 34
34 - 44
44 - 54
54 - 64
No. of days
48
29
31
32
41
(iii)
Rainfall (in mm)
14 - 24
24 - 34
34 - 44
44 - 54
54 - 64
No. of days
48
41
29
32
31
(iv)
Rainfall (in mm)
14 - 24
24 - 34
34 - 44
44 - 54
54 - 64
No. of days
48
31
27
32
41
(v)
Rainfall (in mm)
14 - 24
24 - 34
34 - 44
44 - 54
54 - 64
No. of days
48
34
29
32
41
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)
5 - 12
13 - 20
21 - 28
29 - 36
37 - 44
45 - 52
53 - 60
No. of days
9
39
11
48
10
20
43
(ii)
Rainfall (in mm)
5 - 12
13 - 20
21 - 28
29 - 36
37 - 44
45 - 52
53 - 60
No. of days
9
43
11
46
10
20
39
(iii)
Rainfall (in mm)
5 - 12
13 - 20
21 - 28
29 - 36
37 - 44
45 - 52
53 - 60
No. of days
9
43
16
48
10
20
39
(iv)
Rainfall (in mm)
5 - 12
13 - 20
21 - 28
29 - 36
37 - 44
45 - 52
53 - 60
No. of days
9
11
43
48
10
20
39
(v)
Rainfall (in mm)
5 - 12
13 - 20
21 - 28
29 - 36
37 - 44
45 - 52
53 - 60
No. of days
9
43
11
48
10
20
39
Question
18
18.
Temperatures of 239 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
75 - 84
84 - 93
93 - 102
No. of days
27
10
40
35
30
47
26
24
(ii)
Temperature (in degree)
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
93 - 102
No. of days
27
24
40
35
33
47
26
10
(iii)
Temperature (in degree)
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
93 - 102
No. of days
27
24
40
35
30
47
26
10
(iv)
Temperature (in degree)
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
93 - 102
No. of days
27
24
38
35
30
47
26
10
(v)
Temperature (in degree)
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
93 - 102
No. of days
27
24
35
40
30
47
26
10
Question
19
19.
Temperatures of 265 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
74 - 79
No. of days
33
14
38
47
12
24
47
50
(ii)
Temperature (in degree)
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
74 - 79
No. of days
33
50
38
47
12
24
47
14
(iii)
Temperature (in degree)
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
74 - 79
No. of days
33
14
41
47
12
24
47
50
(iv)
Temperature (in degree)
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
74 - 79
No. of days
33
14
38
47
17
24
47
50
(v)
Temperature (in degree)
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
74 - 79
No. of days
33
14
47
38
12
24
47
50
Question
20
20.
Weights of 166 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
56 - 63
63 - 70
70 - 77
77 - 84
84 - 91
91 - 98
No. of students
44
10
39
9
45
17
(ii)
Weight (in kg)
56 - 63
63 - 70
70 - 77
77 - 84
84 - 91
91 - 98
No. of students
44
10
39
11
45
17
(iii)
Weight (in kg)
56 - 63
63 - 70
70 - 77
77 - 84
84 - 91
91 - 98
No. of students
44
39
10
11
45
17
(iv)
Weight (in kg)
56 - 63
63 - 70
70 - 77
77 - 84
84 - 91
91 - 98
No. of students
44
10
37
11
45
17
(v)
Weight (in kg)
56 - 63
63 - 70
70 - 77
77 - 84
84 - 91
91 - 98
No. of students
44
17
39
11
45
10
Question
21
21.
Weights of 126 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
116 - 126
No. of students
18
34
11
6
36
14
7
(ii)
Weight (in kg)
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
116 - 126
No. of students
18
11
7
6
36
14
34
(iii)
Weight (in kg)
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
116 - 126
No. of students
18
7
11
10
36
14
34
(iv)
Weight (in kg)
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
116 - 126
No. of students
18
7
11
6
36
14
34
(v)
Weight (in kg)
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
116 - 126
No. of students
18
7
14
6
36
14
34
Question
22
22.
Daily wages of 116 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
282 - 290
290 - 298
298 - 306
306 - 314
314 - 322
No. of labourers
28
39
11
19
16
(ii)
Daily wage (in Rs)
282 - 290
290 - 298
298 - 306
306 - 314
314 - 322
No. of labourers
28
11
42
19
16
(iii)
Daily wage (in Rs)
282 - 290
290 - 298
298 - 306
306 - 314
314 - 322
No. of labourers
28
42
8
19
16
(iv)
Daily wage (in Rs)
282 - 290
290 - 298
298 - 306
306 - 314
314 - 322
No. of labourers
28
42
11
19
16
(v)
Daily wage (in Rs)
282 - 290
290 - 298
298 - 306
306 - 314
314 - 322
No. of labourers
28
16
11
19
42
Question
23
23.
Daily wages of 251 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
254 - 263
264 - 273
274 - 283
284 - 293
294 - 303
304 - 313
314 - 323
324 - 333
No. of labourers
31
41
9
38
46
21
16
49
(ii)
Daily wage (in Rs)
254 - 263
264 - 273
274 - 283
284 - 293
294 - 303
304 - 313
314 - 323
324 - 333
No. of labourers
31
49
38
9
46
21
16
41
(iii)
Daily wage (in Rs)
254 - 263
264 - 273
274 - 283
284 - 293
294 - 303
304 - 313
314 - 323
324 - 333
No. of labourers
31
41
41
9
46
21
16
49
(iv)
Daily wage (in Rs)
254 - 263
264 - 273
274 - 283
284 - 293
294 - 303
304 - 313
314 - 323
324 - 333
No. of labourers
31
41
38
9
41
21
16
49
(v)
Daily wage (in Rs)
254 - 263
264 - 273
274 - 283
284 - 293
294 - 303
304 - 313
314 - 323
324 - 333
No. of labourers
31
41
38
9
46
21
16
49
Assignment Key
1) (ii)
2) (iv)
3) (iv)
4) (iv)
5) (iii)
6) (ii)
7) (v)
8) (i)
9) (iii)
10) (ii)
11) (ii)
12) (iv)
13) (iv)
14) (iii)
15) (iv)
16) (i)
17) (v)
18) (iii)
19) (i)
20) (ii)
21) (iv)
22) (iv)
23) (v)
