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)
upper boundaries of classes and cumulative frequencies
(iii)
lower boundaries of classes and greater than cumulative frequencies
(iv)
mid point of classes and frequencies
Question
2
2.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
44 - 52
53 - 61
62 - 70
71 - 79
80 - 88
89 - 97
98 - 106
Frequency
13
36
11
25
18
37
28
(ii)
Class-Interval
44 - 52
53 - 61
62 - 70
71 - 79
80 - 88
89 - 97
98 - 106
Frequency
13
11
38
25
18
37
28
(iii)
Class-Interval
44 - 52
53 - 61
62 - 70
71 - 79
80 - 88
89 - 97
98 - 106
Frequency
13
11
36
22
18
37
28
(iv)
Class-Interval
44 - 52
53 - 61
62 - 70
71 - 79
80 - 88
89 - 97
98 - 106
Frequency
13
11
36
25
18
37
28
(v)
Class-Interval
44 - 52
53 - 61
62 - 70
71 - 79
80 - 88
89 - 97
98 - 106
Frequency
13
28
36
25
18
37
11
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)
41 - 45
46 - 50
51 - 55
56 - 60
61 - 65
66 - 70
71 - 75
76 - 80
No. of heart patients
6
25
21
29
20
11
8
29
(ii)
Age (in years)
41 - 45
46 - 50
51 - 55
56 - 60
61 - 65
66 - 70
71 - 75
76 - 80
No. of heart patients
6
25
24
29
24
11
8
29
(iii)
Age (in years)
41 - 45
46 - 50
51 - 55
56 - 60
61 - 65
66 - 70
71 - 75
76 - 80
No. of heart patients
6
25
29
24
20
11
8
29
(iv)
Age (in years)
41 - 45
46 - 50
51 - 55
56 - 60
61 - 65
66 - 70
71 - 75
76 - 80
No. of heart patients
6
29
24
29
20
11
8
25
(v)
Age (in years)
41 - 45
46 - 50
51 - 55
56 - 60
61 - 65
66 - 70
71 - 75
76 - 80
No. of heart patients
6
25
24
29
20
11
8
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)
49 - 59
59 - 69
69 - 79
79 - 89
89 - 99
No. of heart patients
16
5
8
10
17
(ii)
Age (in years)
49 - 59
59 - 69
69 - 79
79 - 89
89 - 99
No. of heart patients
16
8
17
10
5
(iii)
Age (in years)
49 - 59
59 - 69
69 - 79
79 - 89
89 - 99
No. of heart patients
16
17
5
10
5
(iv)
Age (in years)
49 - 59
59 - 69
69 - 79
79 - 89
89 - 99
No. of heart patients
16
22
8
10
5
(v)
Age (in years)
49 - 59
59 - 69
69 - 79
79 - 89
89 - 99
No. of heart patients
16
17
8
10
5
Question
5
5.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
49 - 56
56 - 63
63 - 70
70 - 77
77 - 84
84 - 91
91 - 98
Frequency
35
30
35
14
25
25
25
(ii)
Class-Interval
49 - 56
56 - 63
63 - 70
70 - 77
77 - 84
84 - 91
91 - 98
Frequency
35
35
30
9
25
25
25
(iii)
Class-Interval
49 - 56
56 - 63
63 - 70
70 - 77
77 - 84
84 - 91
91 - 98
Frequency
35
25
30
14
25
25
35
(iv)
Class-Interval
49 - 56
56 - 63
63 - 70
70 - 77
77 - 84
84 - 91
91 - 98
Frequency
35
35
30
14
25
25
25
(v)
Class-Interval
49 - 56
56 - 63
63 - 70
70 - 77
77 - 84
84 - 91
91 - 98
Frequency
35
35
26
14
25
25
25
Question
6
6.
Marks obtained by 70 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
No. of students
9
11
10
7
20
13
(ii)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
9
10
11
5
20
13
(iii)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
9
10
16
7
20
13
(iv)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
9
10
11
7
20
13
(v)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
9
13
11
7
20
10
Question
7
7.
The daily pocket expenses of 95 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
No. of students
18
17
29
18
5
8
(ii)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
18
17
24
18
5
8
(iii)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
18
17
29
20
5
8
(iv)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
18
8
29
18
5
17
(v)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
18
29
17
18
5
8
Question
8
8.
Heights of 118 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
125 - 134
134 - 143
143 - 152
152 - 161
161 - 170
No. of students
28
38
8
35
11
(ii)
Height (in cm)
125 - 134
134 - 143
143 - 152
152 - 161
161 - 170
No. of students
28
11
8
35
36
(iii)
Height (in cm)
125 - 134
134 - 143
143 - 152
152 - 161
161 - 170
No. of students
28
36
8
35
11
(iv)
Height (in cm)
125 - 134
134 - 143
143 - 152
152 - 161
161 - 170
No. of students
28
8
36
35
11
(v)
Height (in cm)
125 - 134
134 - 143
143 - 152
152 - 161
161 - 170
No. of students
28
36
12
35
11
Question
9
9.
Heights of 169 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
121 - 131
132 - 142
143 - 153
154 - 164
165 - 175
176 - 186
187 - 197
198 - 208
No. of students
28
45
20
5
16
6
5
44
(ii)
Height (in cm)
121 - 131
132 - 142
143 - 153
154 - 164
165 - 175
176 - 186
187 - 197
198 - 208
No. of students
28
44
25
5
16
6
5
45
(iii)
Height (in cm)
121 - 131
132 - 142
143 - 153
154 - 164
165 - 175
176 - 186
187 - 197
198 - 208
No. of students
28
44
20
5
16
6
5
45
(iv)
Height (in cm)
121 - 131
132 - 142
143 - 153
154 - 164
165 - 175
176 - 186
187 - 197
198 - 208
No. of students
28
44
20
5
13
6
5
45
(v)
Height (in cm)
121 - 131
132 - 142
143 - 153
154 - 164
165 - 175
176 - 186
187 - 197
198 - 208
No. of students
28
44
5
20
16
6
5
45
Question
10
10.
Heights of 131 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
No. of plants
43
18
19
20
36
(ii)
Height (in cm)
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
No. of plants
43
14
18
20
36
(iii)
Height (in cm)
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
No. of plants
43
14
14
20
36
(iv)
Height (in cm)
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
No. of plants
43
18
14
20
36
(v)
Height (in cm)
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
No. of plants
43
36
14
20
18
Question
11
11.
Heights of 162 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
53 - 59
60 - 66
67 - 73
74 - 80
81 - 87
88 - 94
No. of plants
21
29
32
29
24
27
(ii)
Height (in cm)
53 - 59
60 - 66
67 - 73
74 - 80
81 - 87
88 - 94
No. of plants
21
27
32
29
24
29
(iii)
Height (in cm)
53 - 59
60 - 66
67 - 73
74 - 80
81 - 87
88 - 94
No. of plants
21
29
32
24
24
27
(iv)
Height (in cm)
53 - 59
60 - 66
67 - 73
74 - 80
81 - 87
88 - 94
No. of plants
21
29
34
29
24
27
(v)
Height (in cm)
53 - 59
60 - 66
67 - 73
74 - 80
81 - 87
88 - 94
No. of plants
21
32
29
29
24
27
Question
12
12.
Ages of 139 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
16 - 25
25 - 34
34 - 43
43 - 52
52 - 61
61 - 70
No. of students
30
42
5
13
30
14
(ii)
Age (in years)
16 - 25
25 - 34
34 - 43
43 - 52
52 - 61
61 - 70
No. of students
30
42
10
18
30
14
(iii)
Age (in years)
16 - 25
25 - 34
34 - 43
43 - 52
52 - 61
61 - 70
No. of students
30
14
5
18
30
42
(iv)
Age (in years)
16 - 25
25 - 34
34 - 43
43 - 52
52 - 61
61 - 70
No. of students
30
5
42
18
30
14
(v)
Age (in years)
16 - 25
25 - 34
34 - 43
43 - 52
52 - 61
61 - 70
No. of students
30
42
5
18
30
14
Question
13
13.
Ages of 156 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
11 - 17
18 - 24
25 - 31
32 - 38
39 - 45
46 - 52
No. of students
32
38
42
20
17
12
(ii)
Age (in years)
11 - 17
18 - 24
25 - 31
32 - 38
39 - 45
46 - 52
No. of students
32
38
42
15
17
12
(iii)
Age (in years)
11 - 17
18 - 24
25 - 31
32 - 38
39 - 45
46 - 52
No. of students
32
38
39
15
17
12
(iv)
Age (in years)
11 - 17
18 - 24
25 - 31
32 - 38
39 - 45
46 - 52
No. of students
32
12
42
15
17
38
(v)
Age (in years)
11 - 17
18 - 24
25 - 31
32 - 38
39 - 45
46 - 52
No. of students
32
42
38
15
17
12
Question
14
14.
Scores of 218 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
84 - 91
91 - 98
98 - 105
105 - 112
112 - 119
119 - 126
126 - 133
133 - 140
No. of students
31
19
21
12
37
45
10
43
(ii)
Score
84 - 91
91 - 98
98 - 105
105 - 112
112 - 119
119 - 126
126 - 133
133 - 140
No. of students
31
19
12
21
41
45
10
43
(iii)
Score
84 - 91
91 - 98
98 - 105
105 - 112
112 - 119
119 - 126
126 - 133
133 - 140
No. of students
31
19
15
21
37
45
10
43
(iv)
Score
84 - 91
91 - 98
98 - 105
105 - 112
112 - 119
119 - 126
126 - 133
133 - 140
No. of students
31
43
12
21
37
45
10
19
(v)
Score
84 - 91
91 - 98
98 - 105
105 - 112
112 - 119
119 - 126
126 - 133
133 - 140
No. of students
31
19
12
21
37
45
10
43
Question
15
15.
Scores of 103 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
106 - 112
No. of students
38
7
8
7
25
14
(ii)
Score
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
106 - 112
No. of students
38
7
12
7
25
14
(iii)
Score
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
106 - 112
No. of students
38
14
12
7
25
7
(iv)
Score
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
106 - 112
No. of students
38
12
7
7
25
14
(v)
Score
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
106 - 112
No. of students
38
7
12
2
25
14
Question
16
16.
Rainfall of 93 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
No. of days
6
21
12
32
22
(ii)
Rainfall (in mm)
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
No. of days
6
17
12
32
22
(iii)
Rainfall (in mm)
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
No. of days
6
21
17
32
22
(iv)
Rainfall (in mm)
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
No. of days
6
12
21
32
22
(v)
Rainfall (in mm)
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
No. of days
6
22
12
32
21
Question
17
17.
Rainfall of 204 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
10 - 18
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
No. of days
28
31
44
19
34
48
(ii)
Rainfall (in mm)
10 - 18
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
No. of days
28
48
49
19
34
31
(iii)
Rainfall (in mm)
10 - 18
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
No. of days
28
44
48
19
34
31
(iv)
Rainfall (in mm)
10 - 18
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
No. of days
28
48
44
19
34
31
(v)
Rainfall (in mm)
10 - 18
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
No. of days
28
48
44
17
34
31
Question
18
18.
Temperatures of 170 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
No. of days
11
34
39
9
28
20
26
(ii)
Temperature (in degree)
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
No. of days
11
34
39
12
28
20
26
(iii)
Temperature (in degree)
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
No. of days
11
34
37
12
28
20
26
(iv)
Temperature (in degree)
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
No. of days
11
26
39
12
28
20
34
(v)
Temperature (in degree)
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
No. of days
11
39
34
12
28
20
26
Question
19
19.
Temperatures of 140 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
No. of days
50
12
25
28
29
(ii)
Temperature (in degree)
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
No. of days
50
29
21
28
12
(iii)
Temperature (in degree)
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
No. of days
50
15
21
28
29
(iv)
Temperature (in degree)
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
No. of days
50
21
12
28
29
(v)
Temperature (in degree)
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
No. of days
50
12
21
28
29
Question
20
20.
Weights of 163 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
82 - 88
No. of students
42
15
44
14
23
25
(ii)
Weight (in kg)
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
82 - 88
No. of students
42
15
44
17
23
25
(iii)
Weight (in kg)
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
82 - 88
No. of students
42
25
44
14
23
15
(iv)
Weight (in kg)
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
82 - 88
No. of students
42
15
48
14
23
25
(v)
Weight (in kg)
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
82 - 88
No. of students
42
44
15
14
23
25
Question
21
21.
Weights of 181 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
54 - 61
62 - 69
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
No. of students
27
31
34
48
7
10
24
(ii)
Weight (in kg)
54 - 61
62 - 69
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
No. of students
27
34
34
48
7
10
24
(iii)
Weight (in kg)
54 - 61
62 - 69
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
No. of students
27
24
31
48
7
10
34
(iv)
Weight (in kg)
54 - 61
62 - 69
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
No. of students
27
34
31
48
7
10
24
(v)
Weight (in kg)
54 - 61
62 - 69
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
No. of students
27
34
31
45
7
10
24
Question
22
22.
Daily wages of 237 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
300 - 310
310 - 320
320 - 330
330 - 340
340 - 350
350 - 360
360 - 370
No. of labourers
40
38
32
37
27
41
20
(ii)
Daily wage (in Rs)
300 - 310
310 - 320
320 - 330
330 - 340
340 - 350
350 - 360
360 - 370
No. of labourers
40
38
34
32
27
41
20
(iii)
Daily wage (in Rs)
300 - 310
310 - 320
320 - 330
330 - 340
340 - 350
350 - 360
360 - 370
No. of labourers
40
20
34
37
27
41
38
(iv)
Daily wage (in Rs)
300 - 310
310 - 320
320 - 330
330 - 340
340 - 350
350 - 360
360 - 370
No. of labourers
40
38
34
37
27
41
20
(v)
Daily wage (in Rs)
300 - 310
310 - 320
320 - 330
330 - 340
340 - 350
350 - 360
360 - 370
No. of labourers
40
34
38
37
27
41
20
Question
23
23.
Daily wages of 151 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
236 - 244
245 - 253
254 - 262
263 - 271
272 - 280
281 - 289
No. of labourers
36
20
13
19
19
44
(ii)
Daily wage (in Rs)
236 - 244
245 - 253
254 - 262
263 - 271
272 - 280
281 - 289
No. of labourers
36
13
44
19
19
20
(iii)
Daily wage (in Rs)
236 - 244
245 - 253
254 - 262
263 - 271
272 - 280
281 - 289
No. of labourers
36
44
11
19
19
20
(iv)
Daily wage (in Rs)
236 - 244
245 - 253
254 - 262
263 - 271
272 - 280
281 - 289
No. of labourers
36
44
13
17
19
20
(v)
Daily wage (in Rs)
236 - 244
245 - 253
254 - 262
263 - 271
272 - 280
281 - 289
No. of labourers
36
44
13
19
19
20
Assignment Key
1) (iv)
2) (iv)
3) (v)
4) (v)
5) (iv)
6) (iv)
7) (i)
8) (iii)
9) (iii)
10) (iv)
11) (i)
12) (v)
13) (ii)
14) (v)
15) (ii)
16) (i)
17) (iv)
18) (ii)
19) (v)
20) (i)
21) (iv)
22) (iv)
23) (v)
