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
12 - 21
22 - 31
32 - 41
42 - 51
52 - 61
62 - 71
Frequency
49
42
44
32
19
28
(ii)
Class-Interval
12 - 21
22 - 31
32 - 41
42 - 51
52 - 61
62 - 71
Frequency
49
28
44
32
19
42
(iii)
Class-Interval
12 - 21
22 - 31
32 - 41
42 - 51
52 - 61
62 - 71
Frequency
49
44
28
32
19
42
(iv)
Class-Interval
12 - 21
22 - 31
32 - 41
42 - 51
52 - 61
62 - 71
Frequency
49
28
48
32
19
42
(v)
Class-Interval
12 - 21
22 - 31
32 - 41
42 - 51
52 - 61
62 - 71
Frequency
49
28
44
27
19
42
Question
2
2.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
Frequency
25
44
29
26
23
34
19
(ii)
Class-Interval
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
Frequency
25
19
29
28
23
34
44
(iii)
Class-Interval
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
Frequency
25
44
27
28
23
34
19
(iv)
Class-Interval
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
Frequency
25
29
44
28
23
34
19
(v)
Class-Interval
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
Frequency
25
44
29
28
23
34
19
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)
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
No. of heart patients
23
8
23
18
25
(ii)
Age (in years)
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
No. of heart patients
23
12
18
18
25
(iii)
Age (in years)
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
No. of heart patients
23
8
18
18
25
(iv)
Age (in years)
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
No. of heart patients
23
25
18
18
8
(v)
Age (in years)
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
No. of heart patients
23
18
8
18
25
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 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
76 - 83
83 - 90
No. of heart patients
15
19
7
9
7
18
5
15
(ii)
Age (in years)
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
76 - 83
83 - 90
No. of heart patients
15
15
9
7
7
18
5
19
(iii)
Age (in years)
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
76 - 83
83 - 90
No. of heart patients
15
19
11
7
7
18
5
15
(iv)
Age (in years)
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
76 - 83
83 - 90
No. of heart patients
15
19
9
7
7
18
5
15
(v)
Age (in years)
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
76 - 83
83 - 90
No. of heart patients
15
19
9
7
5
18
5
15
Question
5
5.
Marks obtained by 115 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
22
23
7
25
17
19
(ii)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
22
23
9
25
17
19
(iii)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
22
9
23
25
17
19
(iv)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
22
19
9
25
17
23
(v)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
22
23
9
21
17
19
Question
6
6.
The daily pocket expenses of 106 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
30 - 35
No. of students
5
5
14
29
19
22
12
(ii)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
5
14
5
29
19
22
12
(iii)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
5
12
5
29
19
22
14
(iv)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
5
14
5
34
19
22
12
(v)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
5
14
7
29
19
22
12
Question
7
7.
Heights of 126 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
123 - 129
129 - 135
135 - 141
141 - 147
147 - 153
No. of students
25
28
6
45
22
(ii)
Height (in cm)
123 - 129
129 - 135
135 - 141
141 - 147
147 - 153
No. of students
25
22
28
45
6
(iii)
Height (in cm)
123 - 129
129 - 135
135 - 141
141 - 147
147 - 153
No. of students
25
6
31
45
22
(iv)
Height (in cm)
123 - 129
129 - 135
135 - 141
141 - 147
147 - 153
No. of students
25
6
28
45
22
(v)
Height (in cm)
123 - 129
129 - 135
135 - 141
141 - 147
147 - 153
No. of students
25
9
28
45
22
Question
8
8.
Heights of 212 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
124 - 133
134 - 143
144 - 153
154 - 163
164 - 173
174 - 183
184 - 193
194 - 203
No. of students
14
23
16
48
40
5
32
34
(ii)
Height (in cm)
124 - 133
134 - 143
144 - 153
154 - 163
164 - 173
174 - 183
184 - 193
194 - 203
No. of students
14
23
48
16
40
5
32
34
(iii)
Height (in cm)
124 - 133
134 - 143
144 - 153
154 - 163
164 - 173
174 - 183
184 - 193
194 - 203
No. of students
14
34
16
48
40
5
32
23
(iv)
Height (in cm)
124 - 133
134 - 143
144 - 153
154 - 163
164 - 173
174 - 183
184 - 193
194 - 203
No. of students
14
23
16
48
42
5
32
34
(v)
Height (in cm)
124 - 133
134 - 143
144 - 153
154 - 163
164 - 173
174 - 183
184 - 193
194 - 203
No. of students
14
23
21
48
40
5
32
34
Question
9
9.
Heights of 178 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
70 - 78
78 - 86
86 - 94
94 - 102
102 - 110
110 - 118
No. of plants
19
19
50
30
38
22
(ii)
Height (in cm)
70 - 78
78 - 86
86 - 94
94 - 102
102 - 110
110 - 118
No. of plants
19
50
22
30
38
19
(iii)
Height (in cm)
70 - 78
78 - 86
86 - 94
94 - 102
102 - 110
110 - 118
No. of plants
19
22
48
30
38
19
(iv)
Height (in cm)
70 - 78
78 - 86
86 - 94
94 - 102
102 - 110
110 - 118
No. of plants
19
22
50
30
38
19
(v)
Height (in cm)
70 - 78
78 - 86
86 - 94
94 - 102
102 - 110
110 - 118
No. of plants
19
22
50
27
38
19
Question
10
10.
Heights of 211 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
60 - 67
68 - 75
76 - 83
84 - 91
92 - 99
100 - 107
108 - 115
116 - 123
No. of plants
32
30
26
37
27
15
13
31
(ii)
Height (in cm)
60 - 67
68 - 75
76 - 83
84 - 91
92 - 99
100 - 107
108 - 115
116 - 123
No. of plants
32
30
37
26
23
15
13
31
(iii)
Height (in cm)
60 - 67
68 - 75
76 - 83
84 - 91
92 - 99
100 - 107
108 - 115
116 - 123
No. of plants
32
31
37
26
27
15
13
30
(iv)
Height (in cm)
60 - 67
68 - 75
76 - 83
84 - 91
92 - 99
100 - 107
108 - 115
116 - 123
No. of plants
32
30
41
26
27
15
13
31
(v)
Height (in cm)
60 - 67
68 - 75
76 - 83
84 - 91
92 - 99
100 - 107
108 - 115
116 - 123
No. of plants
32
30
37
26
27
15
13
31
Question
11
11.
Ages of 126 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
No. of students
40
13
14
29
30
(ii)
Age (in years)
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
No. of students
40
30
13
29
14
(iii)
Age (in years)
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
No. of students
40
14
13
29
30
(iv)
Age (in years)
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
No. of students
40
14
11
29
30
(v)
Age (in years)
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
No. of students
40
11
13
29
30
Question
12
12.
Ages of 191 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
18 - 28
29 - 39
40 - 50
51 - 61
62 - 72
73 - 83
84 - 94
No. of students
22
23
45
43
14
20
24
(ii)
Age (in years)
18 - 28
29 - 39
40 - 50
51 - 61
62 - 72
73 - 83
84 - 94
No. of students
22
24
45
48
14
20
23
(iii)
Age (in years)
18 - 28
29 - 39
40 - 50
51 - 61
62 - 72
73 - 83
84 - 94
No. of students
22
24
40
43
14
20
23
(iv)
Age (in years)
18 - 28
29 - 39
40 - 50
51 - 61
62 - 72
73 - 83
84 - 94
No. of students
22
24
45
43
14
20
23
(v)
Age (in years)
18 - 28
29 - 39
40 - 50
51 - 61
62 - 72
73 - 83
84 - 94
No. of students
22
45
24
43
14
20
23
Question
13
13.
Scores of 135 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
No. of students
19
34
5
37
40
(ii)
Score
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
No. of students
19
5
34
37
40
(iii)
Score
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
No. of students
19
40
5
37
34
(iv)
Score
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
No. of students
19
37
5
37
40
(v)
Score
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
No. of students
19
34
7
37
40
Question
14
14.
Scores of 163 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
77 - 82
83 - 88
89 - 94
95 - 100
101 - 106
No. of students
46
10
34
36
32
(ii)
Score
77 - 82
83 - 88
89 - 94
95 - 100
101 - 106
No. of students
46
32
34
36
15
(iii)
Score
77 - 82
83 - 88
89 - 94
95 - 100
101 - 106
No. of students
46
15
39
36
32
(iv)
Score
77 - 82
83 - 88
89 - 94
95 - 100
101 - 106
No. of students
46
15
34
36
32
(v)
Score
77 - 82
83 - 88
89 - 94
95 - 100
101 - 106
No. of students
46
34
15
36
32
Question
15
15.
Rainfall of 150 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
5 - 15
15 - 25
25 - 35
35 - 45
45 - 55
55 - 65
65 - 75
No. of days
5
44
37
21
10
27
6
(ii)
Rainfall (in mm)
5 - 15
15 - 25
25 - 35
35 - 45
45 - 55
55 - 65
65 - 75
No. of days
5
44
37
26
10
27
6
(iii)
Rainfall (in mm)
5 - 15
15 - 25
25 - 35
35 - 45
45 - 55
55 - 65
65 - 75
No. of days
5
44
40
21
10
27
6
(iv)
Rainfall (in mm)
5 - 15
15 - 25
25 - 35
35 - 45
45 - 55
55 - 65
65 - 75
No. of days
5
37
44
21
10
27
6
(v)
Rainfall (in mm)
5 - 15
15 - 25
25 - 35
35 - 45
45 - 55
55 - 65
65 - 75
No. of days
5
6
37
21
10
27
44
Question
16
16.
Rainfall of 159 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
8 - 13
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
No. of days
39
11
18
17
16
5
7
46
(ii)
Rainfall (in mm)
8 - 13
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
No. of days
39
46
18
17
16
5
7
11
(iii)
Rainfall (in mm)
8 - 13
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
No. of days
39
46
18
17
13
5
7
11
(iv)
Rainfall (in mm)
8 - 13
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
No. of days
39
46
17
18
16
5
7
11
(v)
Rainfall (in mm)
8 - 13
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
No. of days
39
46
13
17
16
5
7
11
Question
17
17.
Temperatures of 174 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
No. of days
10
43
23
49
49
(ii)
Temperature (in degree)
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
No. of days
10
49
43
49
23
(iii)
Temperature (in degree)
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
No. of days
10
23
39
49
49
(iv)
Temperature (in degree)
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
No. of days
10
23
43
49
49
(v)
Temperature (in degree)
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
No. of days
10
18
43
49
49
Question
18
18.
Temperatures of 183 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
28 - 35
36 - 43
44 - 51
52 - 59
60 - 67
68 - 75
No. of days
30
39
43
12
22
34
(ii)
Temperature (in degree)
28 - 35
36 - 43
44 - 51
52 - 59
60 - 67
68 - 75
No. of days
30
46
39
12
22
34
(iii)
Temperature (in degree)
28 - 35
36 - 43
44 - 51
52 - 59
60 - 67
68 - 75
No. of days
30
34
46
12
22
39
(iv)
Temperature (in degree)
28 - 35
36 - 43
44 - 51
52 - 59
60 - 67
68 - 75
No. of days
30
39
46
12
22
34
(v)
Temperature (in degree)
28 - 35
36 - 43
44 - 51
52 - 59
60 - 67
68 - 75
No. of days
30
39
46
16
22
34
Question
19
19.
Weights of 220 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
120 - 130
130 - 140
No. of students
37
12
29
17
55
9
27
39
(ii)
Weight (in kg)
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
120 - 130
130 - 140
No. of students
37
12
29
17
50
9
27
39
(iii)
Weight (in kg)
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
120 - 130
130 - 140
No. of students
37
39
29
17
50
9
27
12
(iv)
Weight (in kg)
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
120 - 130
130 - 140
No. of students
37
12
32
17
50
9
27
39
(v)
Weight (in kg)
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
120 - 130
130 - 140
No. of students
37
12
17
29
50
9
27
39
Question
20
20.
Weights of 152 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
49 - 55
56 - 62
63 - 69
70 - 76
77 - 83
No. of students
49
33
16
18
33
(ii)
Weight (in kg)
49 - 55
56 - 62
63 - 69
70 - 76
77 - 83
No. of students
49
16
36
18
33
(iii)
Weight (in kg)
49 - 55
56 - 62
63 - 69
70 - 76
77 - 83
No. of students
49
36
21
18
33
(iv)
Weight (in kg)
49 - 55
56 - 62
63 - 69
70 - 76
77 - 83
No. of students
49
33
16
18
36
(v)
Weight (in kg)
49 - 55
56 - 62
63 - 69
70 - 76
77 - 83
No. of students
49
36
16
18
33
Question
21
21.
Daily wages of 93 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
298 - 308
308 - 318
318 - 328
328 - 338
338 - 348
No. of labourers
42
21
11
14
5
(ii)
Daily wage (in Rs)
298 - 308
308 - 318
318 - 328
328 - 338
338 - 348
No. of labourers
42
5
11
14
21
(iii)
Daily wage (in Rs)
298 - 308
308 - 318
318 - 328
328 - 338
338 - 348
No. of labourers
42
21
7
14
5
(iv)
Daily wage (in Rs)
298 - 308
308 - 318
318 - 328
328 - 338
338 - 348
No. of labourers
42
25
11
14
5
(v)
Daily wage (in Rs)
298 - 308
308 - 318
318 - 328
328 - 338
338 - 348
No. of labourers
42
11
21
14
5
Question
22
22.
Daily wages of 170 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
269 - 276
277 - 284
285 - 292
293 - 300
301 - 308
309 - 316
317 - 324
No. of labourers
43
13
9
11
47
5
40
(ii)
Daily wage (in Rs)
269 - 276
277 - 284
285 - 292
293 - 300
301 - 308
309 - 316
317 - 324
No. of labourers
43
40
9
13
47
5
13
(iii)
Daily wage (in Rs)
269 - 276
277 - 284
285 - 292
293 - 300
301 - 308
309 - 316
317 - 324
No. of labourers
43
13
9
13
47
5
40
(iv)
Daily wage (in Rs)
269 - 276
277 - 284
285 - 292
293 - 300
301 - 308
309 - 316
317 - 324
No. of labourers
43
9
13
13
47
5
40
(v)
Daily wage (in Rs)
269 - 276
277 - 284
285 - 292
293 - 300
301 - 308
309 - 316
317 - 324
No. of labourers
43
13
6
13
47
5
40
Assignment Key
1) (ii)
2) (v)
3) (iii)
4) (iv)
5) (ii)
6) (ii)
7) (iv)
8) (i)
9) (iv)
10) (v)
11) (iii)
12) (iv)
13) (i)
14) (iv)
15) (i)
16) (ii)
17) (iv)
18) (iv)
19) (ii)
20) (v)
21) (i)
22) (iii)
