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
43 - 52
53 - 62
63 - 72
73 - 82
83 - 92
93 - 102
Frequency
33
10
48
18
17
16
(ii)
Class-Interval
43 - 52
53 - 62
63 - 72
73 - 82
83 - 92
93 - 102
Frequency
33
10
45
16
17
16
(iii)
Class-Interval
43 - 52
53 - 62
63 - 72
73 - 82
83 - 92
93 - 102
Frequency
33
10
48
16
17
16
(iv)
Class-Interval
43 - 52
53 - 62
63 - 72
73 - 82
83 - 92
93 - 102
Frequency
33
16
48
16
17
10
(v)
Class-Interval
43 - 52
53 - 62
63 - 72
73 - 82
83 - 92
93 - 102
Frequency
33
48
10
16
17
16
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)
34 - 42
43 - 51
52 - 60
61 - 69
70 - 78
79 - 87
88 - 96
No. of heart patients
18
10
26
19
13
19
20
(ii)
Age (in years)
34 - 42
43 - 51
52 - 60
61 - 69
70 - 78
79 - 87
88 - 96
No. of heart patients
18
10
29
19
13
19
20
(iii)
Age (in years)
34 - 42
43 - 51
52 - 60
61 - 69
70 - 78
79 - 87
88 - 96
No. of heart patients
18
20
26
19
13
19
10
(iv)
Age (in years)
34 - 42
43 - 51
52 - 60
61 - 69
70 - 78
79 - 87
88 - 96
No. of heart patients
18
26
10
19
13
19
20
(v)
Age (in years)
34 - 42
43 - 51
52 - 60
61 - 69
70 - 78
79 - 87
88 - 96
No. of heart patients
18
10
26
17
13
19
20
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)
42 - 46
46 - 50
50 - 54
54 - 58
58 - 62
62 - 66
No. of heart patients
26
17
10
11
5
24
(ii)
Age (in years)
42 - 46
46 - 50
50 - 54
54 - 58
58 - 62
62 - 66
No. of heart patients
26
10
17
11
5
24
(iii)
Age (in years)
42 - 46
46 - 50
50 - 54
54 - 58
58 - 62
62 - 66
No. of heart patients
26
17
8
11
5
24
(iv)
Age (in years)
42 - 46
46 - 50
50 - 54
54 - 58
58 - 62
62 - 66
No. of heart patients
26
17
10
9
5
24
(v)
Age (in years)
42 - 46
46 - 50
50 - 54
54 - 58
58 - 62
62 - 66
No. of heart patients
26
24
10
11
5
17
Question
5
5.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
Frequency
41
15
31
33
15
48
50
(ii)
Class-Interval
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
Frequency
41
31
12
33
15
48
50
(iii)
Class-Interval
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
Frequency
41
50
15
33
15
48
31
(iv)
Class-Interval
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
Frequency
41
31
15
28
15
48
50
(v)
Class-Interval
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
Frequency
41
31
15
33
15
48
50
Question
6
6.
Marks obtained by 102 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
16
14
19
8
25
18
(ii)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
16
14
21
8
25
18
(iii)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
16
14
21
11
25
18
(iv)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
16
18
21
8
25
14
(v)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
16
21
14
8
25
18
Question
7
7.
The daily pocket expenses of 133 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
18
18
30
24
26
17
(ii)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
No. of students
18
30
17
24
26
18
(iii)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
No. of students
18
17
33
24
26
18
(iv)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
No. of students
18
17
30
21
26
18
(v)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
No. of students
18
17
30
24
26
18
Question
8
8.
Heights of 184 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
126 - 132
132 - 138
138 - 144
144 - 150
150 - 156
156 - 162
162 - 168
No. of students
27
33
28
12
26
25
33
(ii)
Height (in cm)
126 - 132
132 - 138
138 - 144
144 - 150
150 - 156
156 - 162
162 - 168
No. of students
27
28
28
12
26
25
33
(iii)
Height (in cm)
126 - 132
132 - 138
138 - 144
144 - 150
150 - 156
156 - 162
162 - 168
No. of students
27
28
33
9
26
25
33
(iv)
Height (in cm)
126 - 132
132 - 138
138 - 144
144 - 150
150 - 156
156 - 162
162 - 168
No. of students
27
28
33
12
26
25
33
(v)
Height (in cm)
126 - 132
132 - 138
138 - 144
144 - 150
150 - 156
156 - 162
162 - 168
No. of students
27
33
33
12
26
25
28
Question
9
9.
Heights of 189 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
130 - 138
139 - 147
148 - 156
157 - 165
166 - 174
175 - 183
No. of students
36
25
7
35
42
44
(ii)
Height (in cm)
130 - 138
139 - 147
148 - 156
157 - 165
166 - 174
175 - 183
No. of students
36
44
7
37
42
25
(iii)
Height (in cm)
130 - 138
139 - 147
148 - 156
157 - 165
166 - 174
175 - 183
No. of students
36
7
44
35
42
25
(iv)
Height (in cm)
130 - 138
139 - 147
148 - 156
157 - 165
166 - 174
175 - 183
No. of students
36
44
7
35
42
25
(v)
Height (in cm)
130 - 138
139 - 147
148 - 156
157 - 165
166 - 174
175 - 183
No. of students
36
44
2
35
42
25
Question
10
10.
Heights of 181 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
63 - 70
70 - 77
77 - 84
84 - 91
91 - 98
98 - 105
No. of plants
23
47
18
25
28
40
(ii)
Height (in cm)
63 - 70
70 - 77
77 - 84
84 - 91
91 - 98
98 - 105
No. of plants
23
40
18
28
28
47
(iii)
Height (in cm)
63 - 70
70 - 77
77 - 84
84 - 91
91 - 98
98 - 105
No. of plants
23
18
40
25
28
47
(iv)
Height (in cm)
63 - 70
70 - 77
77 - 84
84 - 91
91 - 98
98 - 105
No. of plants
23
40
18
25
28
47
(v)
Height (in cm)
63 - 70
70 - 77
77 - 84
84 - 91
91 - 98
98 - 105
No. of plants
23
40
23
25
28
47
Question
11
11.
Heights of 199 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
54 - 59
60 - 65
66 - 71
72 - 77
78 - 83
84 - 89
90 - 95
No. of plants
26
41
14
45
47
10
16
(ii)
Height (in cm)
54 - 59
60 - 65
66 - 71
72 - 77
78 - 83
84 - 89
90 - 95
No. of plants
26
16
14
50
47
10
41
(iii)
Height (in cm)
54 - 59
60 - 65
66 - 71
72 - 77
78 - 83
84 - 89
90 - 95
No. of plants
26
16
14
45
47
10
41
(iv)
Height (in cm)
54 - 59
60 - 65
66 - 71
72 - 77
78 - 83
84 - 89
90 - 95
No. of plants
26
14
16
45
47
10
41
(v)
Height (in cm)
54 - 59
60 - 65
66 - 71
72 - 77
78 - 83
84 - 89
90 - 95
No. of plants
26
16
16
45
47
10
41
Question
12
12.
Ages of 140 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
No. of students
12
35
30
13
50
(ii)
Age (in years)
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
No. of students
12
50
33
13
35
(iii)
Age (in years)
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
No. of students
12
53
30
13
35
(iv)
Age (in years)
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
No. of students
12
30
50
13
35
(v)
Age (in years)
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
No. of students
12
50
30
13
35
Question
13
13.
Ages of 147 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
82 - 90
No. of students
12
22
13
6
38
5
22
27
(ii)
Age (in years)
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
82 - 90
No. of students
12
22
6
13
40
5
22
27
(iii)
Age (in years)
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
82 - 90
No. of students
12
22
10
6
40
5
22
27
(iv)
Age (in years)
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
82 - 90
No. of students
12
22
13
6
40
5
22
27
(v)
Age (in years)
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
82 - 90
No. of students
12
27
13
6
40
5
22
22
Question
14
14.
Scores of 190 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
76 - 82
82 - 88
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
118 - 124
No. of students
36
5
29
45
31
5
7
32
(ii)
Score
76 - 82
82 - 88
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
118 - 124
No. of students
36
5
42
29
31
5
7
32
(iii)
Score
76 - 82
82 - 88
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
118 - 124
No. of students
36
32
45
29
31
5
7
5
(iv)
Score
76 - 82
82 - 88
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
118 - 124
No. of students
36
5
45
29
29
5
7
32
(v)
Score
76 - 82
82 - 88
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
118 - 124
No. of students
36
5
45
29
31
5
7
32
Question
15
15.
Scores of 113 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
No. of students
20
16
23
31
23
(ii)
Score
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
No. of students
20
20
23
31
23
(iii)
Score
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
No. of students
20
23
16
31
23
(iv)
Score
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
No. of students
20
23
23
31
16
(v)
Score
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
No. of students
20
16
21
31
23
Question
16
16.
Rainfall of 183 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
No. of days
34
9
13
13
19
32
44
19
(ii)
Rainfall (in mm)
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
No. of days
34
9
13
13
15
32
44
19
(iii)
Rainfall (in mm)
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
No. of days
34
9
17
13
19
32
44
19
(iv)
Rainfall (in mm)
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
No. of days
34
19
13
13
19
32
44
9
Question
17
17.
Rainfall of 171 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
11 - 17
18 - 24
25 - 31
32 - 38
39 - 45
No. of days
50
36
16
42
27
(ii)
Rainfall (in mm)
11 - 17
18 - 24
25 - 31
32 - 38
39 - 45
No. of days
50
27
16
42
36
(iii)
Rainfall (in mm)
11 - 17
18 - 24
25 - 31
32 - 38
39 - 45
No. of days
50
16
27
42
36
(iv)
Rainfall (in mm)
11 - 17
18 - 24
25 - 31
32 - 38
39 - 45
No. of days
50
23
16
42
36
(v)
Rainfall (in mm)
11 - 17
18 - 24
25 - 31
32 - 38
39 - 45
No. of days
50
27
13
42
36
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)
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
63 - 69
69 - 75
75 - 81
No. of days
8
45
21
34
25
25
42
36
(ii)
Temperature (in degree)
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
63 - 69
69 - 75
75 - 81
No. of days
8
45
34
21
28
25
42
36
(iii)
Temperature (in degree)
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
63 - 69
69 - 75
75 - 81
No. of days
8
36
21
34
28
25
42
45
(iv)
Temperature (in degree)
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
63 - 69
69 - 75
75 - 81
No. of days
8
45
26
34
28
25
42
36
(v)
Temperature (in degree)
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
63 - 69
69 - 75
75 - 81
No. of days
8
45
21
34
28
25
42
36
Question
19
19.
Temperatures of 324 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
78 - 84
No. of days
35
29
48
49
47
46
33
39
(ii)
Temperature (in degree)
29 - 35
36 - 42
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
78 - 84
No. of days
35
29
49
48
45
46
33
39
(iii)
Temperature (in degree)
29 - 35
36 - 42
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
78 - 84
No. of days
35
29
48
49
45
46
33
39
(iv)
Temperature (in degree)
29 - 35
36 - 42
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
78 - 84
No. of days
35
39
48
49
45
46
33
29
(v)
Temperature (in degree)
29 - 35
36 - 42
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
78 - 84
No. of days
35
29
45
49
45
46
33
39
Question
20
20.
Weights of 226 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
86 - 95
No. of students
8
45
50
41
42
42
(ii)
Weight (in kg)
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
86 - 95
No. of students
8
45
48
37
42
42
(iii)
Weight (in kg)
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
86 - 95
No. of students
8
48
45
41
42
42
(iv)
Weight (in kg)
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
86 - 95
No. of students
8
42
48
41
42
45
(v)
Weight (in kg)
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
86 - 95
No. of students
8
45
48
41
42
42
Question
21
21.
Weights of 135 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
44 - 54
55 - 65
66 - 76
77 - 87
88 - 98
No. of students
18
37
20
48
16
(ii)
Weight (in kg)
44 - 54
55 - 65
66 - 76
77 - 87
88 - 98
No. of students
18
16
16
48
37
(iii)
Weight (in kg)
44 - 54
55 - 65
66 - 76
77 - 87
88 - 98
No. of students
18
33
16
48
16
(iv)
Weight (in kg)
44 - 54
55 - 65
66 - 76
77 - 87
88 - 98
No. of students
18
37
16
48
16
(v)
Weight (in kg)
44 - 54
55 - 65
66 - 76
77 - 87
88 - 98
No. of students
18
16
37
48
16
Question
22
22.
Daily wages of 160 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
273 - 280
280 - 287
287 - 294
294 - 301
301 - 308
308 - 315
315 - 322
322 - 329
No. of labourers
32
15
16
45
11
21
16
9
(ii)
Daily wage (in Rs)
273 - 280
280 - 287
287 - 294
294 - 301
301 - 308
308 - 315
315 - 322
322 - 329
No. of labourers
32
15
45
16
6
21
16
9
(iii)
Daily wage (in Rs)
273 - 280
280 - 287
287 - 294
294 - 301
301 - 308
308 - 315
315 - 322
322 - 329
No. of labourers
32
15
16
45
6
21
16
9
(iv)
Daily wage (in Rs)
273 - 280
280 - 287
287 - 294
294 - 301
301 - 308
308 - 315
315 - 322
322 - 329
No. of labourers
32
15
21
45
6
21
16
9
(v)
Daily wage (in Rs)
273 - 280
280 - 287
287 - 294
294 - 301
301 - 308
308 - 315
315 - 322
322 - 329
No. of labourers
32
9
16
45
6
21
16
15
Question
23
23.
Daily wages of 189 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
277 - 287
288 - 298
299 - 309
310 - 320
321 - 331
332 - 342
No. of labourers
21
45
49
26
41
7
(ii)
Daily wage (in Rs)
277 - 287
288 - 298
299 - 309
310 - 320
321 - 331
332 - 342
No. of labourers
21
7
49
22
41
45
(iii)
Daily wage (in Rs)
277 - 287
288 - 298
299 - 309
310 - 320
321 - 331
332 - 342
No. of labourers
21
7
46
26
41
45
(iv)
Daily wage (in Rs)
277 - 287
288 - 298
299 - 309
310 - 320
321 - 331
332 - 342
No. of labourers
21
7
49
26
41
45
(v)
Daily wage (in Rs)
277 - 287
288 - 298
299 - 309
310 - 320
321 - 331
332 - 342
No. of labourers
21
49
7
26
41
45
Assignment Key
1) (iii)
2) (iii)
3) (i)
4) (i)
5) (v)
6) (ii)
7) (v)
8) (iv)
9) (iv)
10) (iv)
11) (iii)
12) (v)
13) (iv)
14) (v)
15) (i)
16) (i)
17) (ii)
18) (v)
19) (iii)
20) (v)
21) (iv)
22) (iii)
23) (iv)
