EduSahara™ Assignment
Name : Frequency Polygon
Chapter : Graphical Representation of Statistical Data
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
50 - 58
59 - 67
68 - 76
77 - 85
86 - 94
95 - 103
104 - 112
113 - 121
Frequency
10
13
11
36
33
35
24
26
(ii)
Class-Interval
50 - 58
59 - 67
68 - 76
77 - 85
86 - 94
95 - 103
104 - 112
113 - 121
Frequency
10
13
16
36
36
35
24
26
(iii)
Class-Interval
50 - 58
59 - 67
68 - 76
77 - 85
86 - 94
95 - 103
104 - 112
113 - 121
Frequency
10
26
16
36
33
35
24
13
(iv)
Class-Interval
50 - 58
59 - 67
68 - 76
77 - 85
86 - 94
95 - 103
104 - 112
113 - 121
Frequency
10
13
36
16
33
35
24
26
(v)
Class-Interval
50 - 58
59 - 67
68 - 76
77 - 85
86 - 94
95 - 103
104 - 112
113 - 121
Frequency
10
13
16
36
33
35
24
26
Question
2
2.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
79 - 88
Frequency
33
28
50
37
42
34
(ii)
Class-Interval
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
79 - 88
Frequency
33
34
50
35
42
28
(iii)
Class-Interval
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
79 - 88
Frequency
33
34
45
37
42
28
(iv)
Class-Interval
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
79 - 88
Frequency
33
50
34
37
42
28
(v)
Class-Interval
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
79 - 88
Frequency
33
34
50
37
42
28
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)
47 - 53
54 - 60
61 - 67
68 - 74
75 - 81
82 - 88
No. of heart patients
21
24
19
12
12
30
(ii)
Age (in years)
47 - 53
54 - 60
61 - 67
68 - 74
75 - 81
82 - 88
No. of heart patients
21
30
19
12
12
24
(iii)
Age (in years)
47 - 53
54 - 60
61 - 67
68 - 74
75 - 81
82 - 88
No. of heart patients
21
24
21
12
12
30
(iv)
Age (in years)
47 - 53
54 - 60
61 - 67
68 - 74
75 - 81
82 - 88
No. of heart patients
21
19
24
12
12
30
(v)
Age (in years)
47 - 53
54 - 60
61 - 67
68 - 74
75 - 81
82 - 88
No. of heart patients
21
24
19
15
12
30
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)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
No. of heart patients
27
14
20
25
26
5
(ii)
Age (in years)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
No. of heart patients
27
20
5
25
26
14
(iii)
Age (in years)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
No. of heart patients
27
5
15
25
26
14
(iv)
Age (in years)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
No. of heart patients
27
5
20
29
26
14
(v)
Age (in years)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
No. of heart patients
27
5
20
25
26
14
Question
5
5.
Marks obtained by 97 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
11
17
6
9
11
9
14
20
(ii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
11
17
1
9
11
9
14
20
(iii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
11
17
6
9
14
9
14
20
(iv)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
11
17
9
6
11
9
14
20
(v)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
11
20
6
9
11
9
14
17
Question
6
6.
The daily pocket expenses of 81 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
No. of students
7
19
6
25
24
(ii)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
No. of students
7
6
19
25
24
(iii)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
No. of students
7
6
23
25
24
(iv)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
No. of students
7
9
19
25
24
(v)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
No. of students
7
24
19
25
6
Question
7
7.
Heights of 188 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
121 - 128
128 - 135
135 - 142
142 - 149
149 - 156
156 - 163
No. of students
26
37
51
24
36
16
(ii)
Height (in cm)
121 - 128
128 - 135
135 - 142
142 - 149
149 - 156
156 - 163
No. of students
26
37
49
24
36
16
(iii)
Height (in cm)
121 - 128
128 - 135
135 - 142
142 - 149
149 - 156
156 - 163
No. of students
26
37
49
20
36
16
(iv)
Height (in cm)
121 - 128
128 - 135
135 - 142
142 - 149
149 - 156
156 - 163
No. of students
26
16
49
24
36
37
(v)
Height (in cm)
121 - 128
128 - 135
135 - 142
142 - 149
149 - 156
156 - 163
No. of students
26
49
37
24
36
16
Question
8
8.
Heights of 129 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
122 - 128
129 - 135
136 - 142
143 - 149
150 - 156
No. of students
38
21
31
24
15
(ii)
Height (in cm)
122 - 128
129 - 135
136 - 142
143 - 149
150 - 156
No. of students
38
27
21
24
15
(iii)
Height (in cm)
122 - 128
129 - 135
136 - 142
143 - 149
150 - 156
No. of students
38
31
21
24
15
(iv)
Height (in cm)
122 - 128
129 - 135
136 - 142
143 - 149
150 - 156
No. of students
38
31
16
24
15
(v)
Height (in cm)
122 - 128
129 - 135
136 - 142
143 - 149
150 - 156
No. of students
38
15
21
24
31
Question
9
9.
Heights of 185 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
69 - 75
75 - 81
81 - 87
87 - 93
93 - 99
99 - 105
105 - 111
No. of plants
34
22
5
22
38
17
50
(ii)
Height (in cm)
69 - 75
75 - 81
81 - 87
87 - 93
93 - 99
99 - 105
105 - 111
No. of plants
34
50
5
19
38
17
22
(iii)
Height (in cm)
69 - 75
75 - 81
81 - 87
87 - 93
93 - 99
99 - 105
105 - 111
No. of plants
34
5
22
19
38
17
50
(iv)
Height (in cm)
69 - 75
75 - 81
81 - 87
87 - 93
93 - 99
99 - 105
105 - 111
No. of plants
34
22
5
19
38
17
50
(v)
Height (in cm)
69 - 75
75 - 81
81 - 87
87 - 93
93 - 99
99 - 105
105 - 111
No. of plants
34
22
10
19
38
17
50
Question
10
10.
Heights of 240 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
68 - 75
76 - 83
84 - 91
92 - 99
100 - 107
108 - 115
116 - 123
124 - 131
No. of plants
38
43
5
9
33
32
30
50
(ii)
Height (in cm)
68 - 75
76 - 83
84 - 91
92 - 99
100 - 107
108 - 115
116 - 123
124 - 131
No. of plants
38
50
5
9
28
32
30
43
(iii)
Height (in cm)
68 - 75
76 - 83
84 - 91
92 - 99
100 - 107
108 - 115
116 - 123
124 - 131
No. of plants
38
50
9
5
33
32
30
43
(iv)
Height (in cm)
68 - 75
76 - 83
84 - 91
92 - 99
100 - 107
108 - 115
116 - 123
124 - 131
No. of plants
38
50
5
9
33
32
30
43
(v)
Height (in cm)
68 - 75
76 - 83
84 - 91
92 - 99
100 - 107
108 - 115
116 - 123
124 - 131
No. of plants
38
50
10
9
33
32
30
43
Question
11
11.
Ages of 150 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
40
9
26
35
40
(ii)
Age (in years)
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
No. of students
40
40
26
35
9
(iii)
Age (in years)
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
No. of students
40
37
26
35
9
(iv)
Age (in years)
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
No. of students
40
40
22
35
9
(v)
Age (in years)
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
No. of students
40
26
40
35
9
Question
12
12.
Ages of 231 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
19 - 26
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
No. of students
28
50
36
39
15
31
32
(ii)
Age (in years)
19 - 26
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
No. of students
28
36
45
39
15
31
32
(iii)
Age (in years)
19 - 26
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
No. of students
28
32
50
39
15
31
36
(iv)
Age (in years)
19 - 26
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
No. of students
28
36
50
39
15
31
32
(v)
Age (in years)
19 - 26
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
No. of students
28
36
50
42
15
31
32
Question
13
13.
Scores of 201 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
No. of students
37
50
26
50
38
(ii)
Score
84 - 91
91 - 98
98 - 105
105 - 112
112 - 119
No. of students
37
26
38
50
50
(iii)
Score
84 - 91
91 - 98
98 - 105
105 - 112
112 - 119
No. of students
37
38
30
50
50
(iv)
Score
84 - 91
91 - 98
98 - 105
105 - 112
112 - 119
No. of students
37
38
26
50
50
(v)
Score
84 - 91
91 - 98
98 - 105
105 - 112
112 - 119
No. of students
37
35
26
50
50
Question
14
14.
Scores of 142 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
120 - 127
No. of students
14
18
46
41
10
13
(ii)
Score
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
120 - 127
No. of students
14
13
50
41
10
18
(iii)
Score
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
120 - 127
No. of students
14
13
46
44
10
18
(iv)
Score
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
120 - 127
No. of students
14
13
46
41
10
18
(v)
Score
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
120 - 127
No. of students
14
46
13
41
10
18
Question
15
15.
Rainfall of 210 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
No. of days
8
40
31
12
18
35
44
22
(ii)
Rainfall (in mm)
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
No. of days
8
40
35
12
18
35
44
22
(iii)
Rainfall (in mm)
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
No. of days
8
40
12
31
18
35
44
22
(iv)
Rainfall (in mm)
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
No. of days
8
22
31
12
18
35
44
40
(v)
Rainfall (in mm)
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
No. of days
8
40
31
12
21
35
44
22
Question
16
16.
Rainfall of 149 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
9 - 15
16 - 22
23 - 29
30 - 36
37 - 43
No. of days
48
26
12
36
27
(ii)
Rainfall (in mm)
9 - 15
16 - 22
23 - 29
30 - 36
37 - 43
No. of days
48
12
26
36
27
(iii)
Rainfall (in mm)
9 - 15
16 - 22
23 - 29
30 - 36
37 - 43
No. of days
48
28
12
36
27
(iv)
Rainfall (in mm)
9 - 15
16 - 22
23 - 29
30 - 36
37 - 43
No. of days
48
26
14
36
27
(v)
Rainfall (in mm)
9 - 15
16 - 22
23 - 29
30 - 36
37 - 43
No. of days
48
27
12
36
26
Question
17
17.
Temperatures of 115 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
34 - 44
44 - 54
54 - 64
64 - 74
74 - 84
No. of days
32
26
25
8
19
(ii)
Temperature (in degree)
34 - 44
44 - 54
54 - 64
64 - 74
74 - 84
No. of days
32
30
26
8
19
(iii)
Temperature (in degree)
34 - 44
44 - 54
54 - 64
64 - 74
74 - 84
No. of days
32
26
30
8
19
(iv)
Temperature (in degree)
34 - 44
44 - 54
54 - 64
64 - 74
74 - 84
No. of days
32
19
30
8
26
(v)
Temperature (in degree)
34 - 44
44 - 54
54 - 64
64 - 74
74 - 84
No. of days
32
24
30
8
19
Question
18
18.
Temperatures of 171 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
42
11
7
23
25
43
5
15
(ii)
Temperature (in degree)
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
74 - 79
No. of days
42
11
23
7
25
43
5
15
(iii)
Temperature (in degree)
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
74 - 79
No. of days
42
11
25
7
25
43
5
15
(iv)
Temperature (in degree)
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
74 - 79
No. of days
42
15
23
7
25
43
5
11
(v)
Temperature (in degree)
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
74 - 79
No. of days
42
11
23
7
29
43
5
15
Question
19
19.
Weights of 206 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
88 - 94
No. of students
43
31
5
20
13
47
47
(ii)
Weight (in kg)
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
82 - 88
88 - 94
No. of students
43
5
34
20
13
47
47
(iii)
Weight (in kg)
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
82 - 88
88 - 94
No. of students
43
5
31
15
13
47
47
(iv)
Weight (in kg)
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
82 - 88
88 - 94
No. of students
43
5
31
20
13
47
47
(v)
Weight (in kg)
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
82 - 88
88 - 94
No. of students
43
47
31
20
13
47
5
Question
20
20.
Weights of 144 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
No. of students
32
37
29
17
29
(ii)
Weight (in kg)
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
No. of students
32
29
40
17
29
(iii)
Weight (in kg)
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
No. of students
32
29
37
17
29
(iv)
Weight (in kg)
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
No. of students
32
24
37
17
29
Question
21
21.
Daily wages of 164 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
255 - 262
262 - 269
269 - 276
276 - 283
283 - 290
290 - 297
297 - 304
No. of labourers
13
10
6
38
25
33
39
(ii)
Daily wage (in Rs)
255 - 262
262 - 269
269 - 276
276 - 283
283 - 290
290 - 297
297 - 304
No. of labourers
13
39
10
38
25
33
6
(iii)
Daily wage (in Rs)
255 - 262
262 - 269
269 - 276
276 - 283
283 - 290
290 - 297
297 - 304
No. of labourers
13
6
12
38
25
33
39
(iv)
Daily wage (in Rs)
255 - 262
262 - 269
269 - 276
276 - 283
283 - 290
290 - 297
297 - 304
No. of labourers
13
6
10
38
25
33
39
(v)
Daily wage (in Rs)
255 - 262
262 - 269
269 - 276
276 - 283
283 - 290
290 - 297
297 - 304
No. of labourers
13
6
10
41
25
33
39
Question
22
22.
Daily wages of 115 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
216 - 224
225 - 233
234 - 242
243 - 251
252 - 260
261 - 269
No. of labourers
23
35
25
11
9
12
(ii)
Daily wage (in Rs)
216 - 224
225 - 233
234 - 242
243 - 251
252 - 260
261 - 269
No. of labourers
23
12
25
15
9
35
(iii)
Daily wage (in Rs)
216 - 224
225 - 233
234 - 242
243 - 251
252 - 260
261 - 269
No. of labourers
23
12
20
11
9
35
(iv)
Daily wage (in Rs)
216 - 224
225 - 233
234 - 242
243 - 251
252 - 260
261 - 269
No. of labourers
23
12
25
11
9
35
(v)
Daily wage (in Rs)
216 - 224
225 - 233
234 - 242
243 - 251
252 - 260
261 - 269
No. of labourers
23
25
12
11
9
35
Assignment Key
1) (v)
2) (v)
3) (i)
4) (v)
5) (i)
6) (ii)
7) (ii)
8) (iii)
9) (iv)
10) (iv)
11) (ii)
12) (iv)
13) (iv)
14) (iv)
15) (i)
16) (i)
17) (iii)
18) (ii)
19) (iv)
20) (iii)
21) (iv)
22) (iv)
