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
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
Frequency
46
40
10
39
32
13
11
46
(ii)
Class-Interval
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
Frequency
46
40
39
10
32
13
11
46
(iii)
Class-Interval
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
Frequency
46
40
6
39
32
13
11
46
(iv)
Class-Interval
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
Frequency
46
46
10
39
32
13
11
40
(v)
Class-Interval
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
Frequency
46
40
10
39
30
13
11
46
Question
2
2.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
10 - 14
14 - 18
18 - 22
22 - 26
26 - 30
30 - 34
34 - 38
Frequency
16
22
10
11
48
24
42
(ii)
Class-Interval
10 - 14
14 - 18
18 - 22
22 - 26
26 - 30
30 - 34
34 - 38
Frequency
16
42
10
11
48
24
22
(iii)
Class-Interval
10 - 14
14 - 18
18 - 22
22 - 26
26 - 30
30 - 34
34 - 38
Frequency
16
22
10
6
48
24
42
(iv)
Class-Interval
10 - 14
14 - 18
18 - 22
22 - 26
26 - 30
30 - 34
34 - 38
Frequency
16
10
22
11
48
24
42
(v)
Class-Interval
10 - 14
14 - 18
18 - 22
22 - 26
26 - 30
30 - 34
34 - 38
Frequency
16
22
15
11
48
24
42
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)
43 - 47
48 - 52
53 - 57
58 - 62
63 - 67
68 - 72
No. of heart patients
28
6
7
32
10
20
(ii)
Age (in years)
43 - 47
48 - 52
53 - 57
58 - 62
63 - 67
68 - 72
No. of heart patients
28
6
9
30
10
20
(iii)
Age (in years)
43 - 47
48 - 52
53 - 57
58 - 62
63 - 67
68 - 72
No. of heart patients
28
7
6
30
10
20
(iv)
Age (in years)
43 - 47
48 - 52
53 - 57
58 - 62
63 - 67
68 - 72
No. of heart patients
28
6
7
30
10
20
(v)
Age (in years)
43 - 47
48 - 52
53 - 57
58 - 62
63 - 67
68 - 72
No. of heart patients
28
20
7
30
10
6
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)
38 - 42
42 - 46
46 - 50
50 - 54
54 - 58
58 - 62
62 - 66
66 - 70
No. of heart patients
9
26
19
19
26
20
19
19
(ii)
Age (in years)
38 - 42
42 - 46
46 - 50
50 - 54
54 - 58
58 - 62
62 - 66
66 - 70
No. of heart patients
9
26
23
19
26
20
19
19
(iii)
Age (in years)
38 - 42
42 - 46
46 - 50
50 - 54
54 - 58
58 - 62
62 - 66
66 - 70
No. of heart patients
9
26
19
19
31
20
19
19
(iv)
Age (in years)
38 - 42
42 - 46
46 - 50
50 - 54
54 - 58
58 - 62
62 - 66
66 - 70
No. of heart patients
9
19
19
19
26
20
19
26
Question
5
5.
Marks obtained by 94 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
20
7
22
18
29
(ii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
No. of students
20
5
18
18
29
(iii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
No. of students
20
5
22
18
29
(iv)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
No. of students
20
29
22
18
5
(v)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
No. of students
20
22
5
18
29
Question
6
6.
The daily pocket expenses of 131 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
25
28
26
16
25
8
(ii)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
5
25
28
24
16
25
8
(iii)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
5
28
25
24
16
25
8
(iv)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
5
25
30
24
16
25
8
(v)
Pocket expense (in rupees)
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of students
5
8
28
24
16
25
25
Question
7
7.
Heights of 163 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
120 - 126
126 - 132
132 - 138
138 - 144
144 - 150
No. of students
28
34
24
27
47
(ii)
Height (in cm)
120 - 126
126 - 132
132 - 138
138 - 144
144 - 150
No. of students
28
47
24
27
37
(iii)
Height (in cm)
120 - 126
126 - 132
132 - 138
138 - 144
144 - 150
No. of students
28
24
37
27
47
(iv)
Height (in cm)
120 - 126
126 - 132
132 - 138
138 - 144
144 - 150
No. of students
28
37
26
27
47
(v)
Height (in cm)
120 - 126
126 - 132
132 - 138
138 - 144
144 - 150
No. of students
28
37
24
27
47
Question
8
8.
Heights of 136 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
No. of students
31
28
8
6
27
15
21
(ii)
Height (in cm)
121 - 131
132 - 142
143 - 153
154 - 164
165 - 175
176 - 186
187 - 197
No. of students
31
21
8
6
27
15
28
(iii)
Height (in cm)
121 - 131
132 - 142
143 - 153
154 - 164
165 - 175
176 - 186
187 - 197
No. of students
31
21
3
6
27
15
28
(iv)
Height (in cm)
121 - 131
132 - 142
143 - 153
154 - 164
165 - 175
176 - 186
187 - 197
No. of students
31
21
8
8
27
15
28
(v)
Height (in cm)
121 - 131
132 - 142
143 - 153
154 - 164
165 - 175
176 - 186
187 - 197
No. of students
31
8
21
6
27
15
28
Question
9
9.
Heights of 275 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
95 - 100
100 - 105
105 - 110
No. of plants
43
38
35
36
46
39
12
26
(ii)
Height (in cm)
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
95 - 100
100 - 105
105 - 110
No. of plants
43
38
36
35
46
39
12
26
(iii)
Height (in cm)
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
95 - 100
100 - 105
105 - 110
No. of plants
43
38
32
35
46
39
12
26
(iv)
Height (in cm)
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
95 - 100
100 - 105
105 - 110
No. of plants
43
26
36
35
46
39
12
38
(v)
Height (in cm)
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
95 - 100
100 - 105
105 - 110
No. of plants
43
38
36
35
41
39
12
26
Question
10
10.
Heights of 248 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
64 - 70
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
106 - 112
113 - 119
No. of plants
7
19
37
48
39
50
5
40
(ii)
Height (in cm)
64 - 70
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
106 - 112
113 - 119
No. of plants
7
40
40
48
39
50
5
19
(iii)
Height (in cm)
64 - 70
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
106 - 112
113 - 119
No. of plants
7
19
40
48
35
50
5
40
(iv)
Height (in cm)
64 - 70
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
106 - 112
113 - 119
No. of plants
7
19
40
48
39
50
5
40
(v)
Height (in cm)
64 - 70
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
106 - 112
113 - 119
No. of plants
7
19
48
40
39
50
5
40
Question
11
11.
Ages of 149 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
46
7
30
21
15
22
8
(ii)
Age (in years)
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
46
30
7
21
15
22
8
(iii)
Age (in years)
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
46
7
30
19
15
22
8
(iv)
Age (in years)
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
46
7
33
21
15
22
8
(v)
Age (in years)
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
46
8
30
21
15
22
7
Question
12
12.
Ages of 160 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
17 - 24
25 - 32
33 - 40
41 - 48
49 - 56
No. of students
31
38
21
34
36
(ii)
Age (in years)
17 - 24
25 - 32
33 - 40
41 - 48
49 - 56
No. of students
31
36
26
34
38
(iii)
Age (in years)
17 - 24
25 - 32
33 - 40
41 - 48
49 - 56
No. of students
31
21
36
34
38
(iv)
Age (in years)
17 - 24
25 - 32
33 - 40
41 - 48
49 - 56
No. of students
31
39
21
34
38
(v)
Age (in years)
17 - 24
25 - 32
33 - 40
41 - 48
49 - 56
No. of students
31
36
21
34
38
Question
13
13.
Scores of 240 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
81 - 90
90 - 99
99 - 108
108 - 117
117 - 126
126 - 135
135 - 144
144 - 153
No. of students
47
26
31
8
42
9
43
38
(ii)
Score
81 - 90
90 - 99
99 - 108
108 - 117
117 - 126
126 - 135
135 - 144
144 - 153
No. of students
47
26
27
8
42
9
43
38
(iii)
Score
81 - 90
90 - 99
99 - 108
108 - 117
117 - 126
126 - 135
135 - 144
144 - 153
No. of students
47
26
27
8
38
9
43
38
(iv)
Score
81 - 90
90 - 99
99 - 108
108 - 117
117 - 126
126 - 135
135 - 144
144 - 153
No. of students
47
38
27
8
42
9
43
26
(v)
Score
81 - 90
90 - 99
99 - 108
108 - 117
117 - 126
126 - 135
135 - 144
144 - 153
No. of students
47
26
8
27
42
9
43
38
Question
14
14.
Scores of 194 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
84 - 93
94 - 103
104 - 113
114 - 123
124 - 133
No. of students
39
46
41
17
49
(ii)
Score
84 - 93
94 - 103
104 - 113
114 - 123
124 - 133
No. of students
39
41
43
17
49
(iii)
Score
84 - 93
94 - 103
104 - 113
114 - 123
124 - 133
No. of students
39
43
46
17
49
(iv)
Score
84 - 93
94 - 103
104 - 113
114 - 123
124 - 133
No. of students
39
46
43
17
49
(v)
Score
84 - 93
94 - 103
104 - 113
114 - 123
124 - 133
No. of students
39
49
43
17
46
Question
15
15.
Rainfall of 135 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
6 - 16
16 - 26
26 - 36
36 - 46
46 - 56
No. of days
24
44
10
49
5
(ii)
Rainfall (in mm)
6 - 16
16 - 26
26 - 36
36 - 46
46 - 56
No. of days
24
44
13
49
5
(iii)
Rainfall (in mm)
6 - 16
16 - 26
26 - 36
36 - 46
46 - 56
No. of days
24
48
13
49
5
(iv)
Rainfall (in mm)
6 - 16
16 - 26
26 - 36
36 - 46
46 - 56
No. of days
24
13
44
49
5
(v)
Rainfall (in mm)
6 - 16
16 - 26
26 - 36
36 - 46
46 - 56
No. of days
24
5
13
49
44
Question
16
16.
Rainfall of 150 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
5 - 13
14 - 22
23 - 31
32 - 40
41 - 49
No. of days
38
26
45
31
13
(ii)
Rainfall (in mm)
5 - 13
14 - 22
23 - 31
32 - 40
41 - 49
No. of days
38
31
42
31
13
(iii)
Rainfall (in mm)
5 - 13
14 - 22
23 - 31
32 - 40
41 - 49
No. of days
38
13
42
31
26
(iv)
Rainfall (in mm)
5 - 13
14 - 22
23 - 31
32 - 40
41 - 49
No. of days
38
26
42
31
13
(v)
Rainfall (in mm)
5 - 13
14 - 22
23 - 31
32 - 40
41 - 49
No. of days
38
42
26
31
13
Question
17
17.
Temperatures of 191 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
No. of days
33
50
18
46
42
(ii)
Temperature (in degree)
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
No. of days
33
47
20
46
42
(iii)
Temperature (in degree)
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
No. of days
33
20
50
46
42
(iv)
Temperature (in degree)
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
No. of days
33
50
20
46
42
(v)
Temperature (in degree)
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
No. of days
33
42
20
46
50
Question
18
18.
Temperatures of 245 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
No. of days
9
46
40
17
30
40
25
38
(ii)
Temperature (in degree)
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
No. of days
9
38
17
40
30
40
25
46
(iii)
Temperature (in degree)
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
No. of days
9
38
40
17
28
40
25
46
(iv)
Temperature (in degree)
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
No. of days
9
38
40
17
30
40
25
46
(v)
Temperature (in degree)
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
No. of days
9
38
45
17
30
40
25
46
Question
19
19.
Weights of 201 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
96 - 104
104 - 112
No. of students
25
32
27
34
8
27
43
(ii)
Weight (in kg)
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
96 - 104
104 - 112
No. of students
25
32
32
37
8
27
43
(iii)
Weight (in kg)
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
96 - 104
104 - 112
No. of students
25
32
32
34
8
27
43
(iv)
Weight (in kg)
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
96 - 104
104 - 112
No. of students
25
43
32
34
8
27
32
Question
20
20.
Weights of 205 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
43 - 50
51 - 58
59 - 66
67 - 74
75 - 82
83 - 90
No. of students
21
38
36
29
40
41
(ii)
Weight (in kg)
43 - 50
51 - 58
59 - 66
67 - 74
75 - 82
83 - 90
No. of students
21
36
38
29
40
41
(iii)
Weight (in kg)
43 - 50
51 - 58
59 - 66
67 - 74
75 - 82
83 - 90
No. of students
21
38
34
29
40
41
(iv)
Weight (in kg)
43 - 50
51 - 58
59 - 66
67 - 74
75 - 82
83 - 90
No. of students
21
38
36
26
40
41
(v)
Weight (in kg)
43 - 50
51 - 58
59 - 66
67 - 74
75 - 82
83 - 90
No. of students
21
41
36
29
40
38
Question
21
21.
Daily wages of 199 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
266 - 274
274 - 282
282 - 290
290 - 298
298 - 306
306 - 314
314 - 322
No. of labourers
22
30
31
26
13
32
45
(ii)
Daily wage (in Rs)
266 - 274
274 - 282
282 - 290
290 - 298
298 - 306
306 - 314
314 - 322
No. of labourers
22
31
30
26
13
32
45
(iii)
Daily wage (in Rs)
266 - 274
274 - 282
282 - 290
290 - 298
298 - 306
306 - 314
314 - 322
No. of labourers
22
45
31
26
13
32
30
(iv)
Daily wage (in Rs)
266 - 274
274 - 282
282 - 290
290 - 298
298 - 306
306 - 314
314 - 322
No. of labourers
22
30
28
26
13
32
45
(v)
Daily wage (in Rs)
266 - 274
274 - 282
282 - 290
290 - 298
298 - 306
306 - 314
314 - 322
No. of labourers
22
30
31
28
13
32
45
Question
22
22.
Daily wages of 222 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
207 - 216
217 - 226
227 - 236
237 - 246
247 - 256
257 - 266
No. of labourers
42
42
37
47
28
26
(ii)
Daily wage (in Rs)
207 - 216
217 - 226
227 - 236
237 - 246
247 - 256
257 - 266
No. of labourers
42
26
37
47
28
42
(iii)
Daily wage (in Rs)
207 - 216
217 - 226
227 - 236
237 - 246
247 - 256
257 - 266
No. of labourers
42
37
42
47
28
26
(iv)
Daily wage (in Rs)
207 - 216
217 - 226
227 - 236
237 - 246
247 - 256
257 - 266
No. of labourers
42
42
37
42
28
26
(v)
Daily wage (in Rs)
207 - 216
217 - 226
227 - 236
237 - 246
247 - 256
257 - 266
No. of labourers
42
42
32
47
28
26
Assignment Key
1) (i)
2) (i)
3) (iv)
4) (i)
5) (iii)
6) (ii)
7) (v)
8) (ii)
9) (ii)
10) (iv)
11) (i)
12) (v)
13) (ii)
14) (iv)
15) (ii)
16) (iv)
17) (iv)
18) (iv)
19) (iii)
20) (i)
21) (i)
22) (i)