EduSahara™ Assignment
Name : Ogives
Chapter : Graphical Representation of Statistical Data
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Identify the frequency distribution table for the given ogive.
(i)
Class-Interval
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
57 - 66
Frequency
3
4
16
20
20
14
(ii)
Class-Interval
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
57 - 66
Frequency
1
8
18
17
3
8
(iii)
Class-Interval
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
57 - 66
Frequency
12
11
5
5
12
6
(iv)
Class-Interval
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
57 - 66
Frequency
11
16
5
19
20
5
(v)
Class-Interval
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
57 - 66
Frequency
15
8
1
3
11
20
Question
2
2.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
16 - 23
24 - 31
32 - 39
40 - 47
48 - 55
Frequency
6
6
8
1
2
(ii)
Class-Interval
16 - 23
24 - 31
32 - 39
40 - 47
48 - 55
Frequency
15
14
18
9
4
(iii)
Class-Interval
16 - 23
24 - 31
32 - 39
40 - 47
48 - 55
Frequency
10
9
3
19
5
(iv)
Class-Interval
16 - 23
24 - 31
32 - 39
40 - 47
48 - 55
Frequency
3
6
12
9
7
(v)
Class-Interval
16 - 23
24 - 31
32 - 39
40 - 47
48 - 55
Frequency
3
1
9
14
18
Question
3
3.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
14 - 23
23 - 32
32 - 41
41 - 50
50 - 59
59 - 68
Frequency
20
7
8
10
4
5
(ii)
Class-Interval
14 - 23
23 - 32
32 - 41
41 - 50
50 - 59
59 - 68
Frequency
9
10
10
19
19
6
(iii)
Class-Interval
14 - 23
23 - 32
32 - 41
41 - 50
50 - 59
59 - 68
Frequency
19
4
12
12
4
17
(iv)
Class-Interval
14 - 23
23 - 32
32 - 41
41 - 50
50 - 59
59 - 68
Frequency
15
3
18
8
20
10
(v)
Class-Interval
14 - 23
23 - 32
32 - 41
41 - 50
50 - 59
59 - 68
Frequency
3
7
10
5
10
12
Question
4
4.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
20 - 26
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
69 - 75
Frequency
13
3
4
2
13
2
20
18
(ii)
Class-Interval
20 - 26
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
69 - 75
Frequency
7
9
9
19
6
15
2
18
(iii)
Class-Interval
20 - 26
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
69 - 75
Frequency
13
19
17
2
14
14
8
16
(iv)
Class-Interval
20 - 26
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
69 - 75
Frequency
11
15
15
20
12
14
15
6
(v)
Class-Interval
20 - 26
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
69 - 75
Frequency
7
4
5
6
3
10
7
6
Question
5
5.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
13 - 21
21 - 29
29 - 37
37 - 45
45 - 53
53 - 61
61 - 69
Frequency
3
5
14
8
19
19
14
(ii)
Class-Interval
13 - 21
21 - 29
29 - 37
37 - 45
45 - 53
53 - 61
61 - 69
Frequency
3
11
3
12
6
11
11
(iii)
Class-Interval
13 - 21
21 - 29
29 - 37
37 - 45
45 - 53
53 - 61
61 - 69
Frequency
19
19
5
16
5
6
5
(iv)
Class-Interval
13 - 21
21 - 29
29 - 37
37 - 45
45 - 53
53 - 61
61 - 69
Frequency
17
2
12
5
9
14
11
(v)
Class-Interval
13 - 21
21 - 29
29 - 37
37 - 45
45 - 53
53 - 61
61 - 69
Frequency
14
11
15
6
2
5
8
Question
6
6.
The heights of 45 pupils in a school are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
126 - 131
132 - 137
138 - 143
144 - 149
150 - 155
156 - 161
No. of pupils
3
10
11
13
8
4
(ii)
Height (in cm)
126 - 131
132 - 137
138 - 143
144 - 149
150 - 155
156 - 161
No. of pupils
3
10
11
9
8
4
(iii)
Height (in cm)
126 - 131
132 - 137
138 - 143
144 - 149
150 - 155
156 - 161
No. of pupils
3
10
14
9
8
4
(iv)
Height (in cm)
126 - 131
132 - 137
138 - 143
144 - 149
150 - 155
156 - 161
No. of pupils
3
11
10
9
8
4
(v)
Height (in cm)
126 - 131
132 - 137
138 - 143
144 - 149
150 - 155
156 - 161
No. of pupils
3
4
11
9
8
10
Question
7
7.
Heights of 90 students (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
128 - 137
137 - 146
146 - 155
155 - 164
164 - 173
173 - 182
No. of students
16
16
8
18
10
17
(ii)
Height (in cm)
128 - 137
137 - 146
146 - 155
155 - 164
164 - 173
173 - 182
No. of students
16
16
13
14
10
17
(iii)
Height (in cm)
128 - 137
137 - 146
146 - 155
155 - 164
164 - 173
173 - 182
No. of students
16
13
16
18
10
17
(iv)
Height (in cm)
128 - 137
137 - 146
146 - 155
155 - 164
164 - 173
173 - 182
No. of students
16
16
13
18
10
17
(v)
Height (in cm)
128 - 137
137 - 146
146 - 155
155 - 164
164 - 173
173 - 182
No. of students
16
17
13
18
10
16
Question
8
8.
Heights of 63 students (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
120 - 130
131 - 141
142 - 152
153 - 163
164 - 174
175 - 185
No. of students
5
19
9
10
8
12
(ii)
Height (in cm)
120 - 130
131 - 141
142 - 152
153 - 163
164 - 174
175 - 185
No. of students
5
9
19
10
8
12
(iii)
Height (in cm)
120 - 130
131 - 141
142 - 152
153 - 163
164 - 174
175 - 185
No. of students
5
12
9
10
8
19
(iv)
Height (in cm)
120 - 130
131 - 141
142 - 152
153 - 163
164 - 174
175 - 185
No. of students
5
19
14
10
8
12
(v)
Height (in cm)
120 - 130
131 - 141
142 - 152
153 - 163
164 - 174
175 - 185
No. of students
5
19
9
12
8
12
Question
9
9.
Heights of 51 plants (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
No. of plants
5
15
7
10
10
(ii)
Height (in cm)
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
No. of plants
5
12
11
10
10
(iii)
Height (in cm)
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
No. of plants
5
15
11
10
10
(iv)
Height (in cm)
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
No. of plants
5
10
11
10
15
(v)
Height (in cm)
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
No. of plants
5
11
15
10
10
Question
10
10.
Heights of 80 plants (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
116 - 126
No. of plants
13
15
19
19
5
9
(ii)
Height (in cm)
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
116 - 126
No. of plants
13
19
9
19
5
15
(iii)
Height (in cm)
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
116 - 126
No. of plants
13
9
23
19
5
15
(iv)
Height (in cm)
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
116 - 126
No. of plants
13
9
19
14
5
15
(v)
Height (in cm)
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
116 - 126
No. of plants
13
9
19
19
5
15
Question
11
11.
Ages of 88 students (in years) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Age (in years)
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
No. of students
10
8
9
13
16
17
12
(ii)
Age (in years)
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
No. of students
10
12
12
13
16
17
8
(iii)
Age (in years)
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
No. of students
10
8
12
13
16
17
12
(iv)
Age (in years)
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
No. of students
10
12
8
13
16
17
12
(v)
Age (in years)
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
No. of students
10
8
12
17
16
17
12
Question
12
12.
Ages of 53 students (in years) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Age (in years)
11 - 17
18 - 24
25 - 31
32 - 38
39 - 45
No. of students
14
10
5
5
19
(ii)
Age (in years)
11 - 17
18 - 24
25 - 31
32 - 38
39 - 45
No. of students
14
5
10
5
19
(iii)
Age (in years)
11 - 17
18 - 24
25 - 31
32 - 38
39 - 45
No. of students
14
5
6
5
19
(iv)
Age (in years)
11 - 17
18 - 24
25 - 31
32 - 38
39 - 45
No. of students
14
19
10
5
5
(v)
Age (in years)
11 - 17
18 - 24
25 - 31
32 - 38
39 - 45
No. of students
14
9
10
5
19
Question
13
13.
Scores of 87 students are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Score
79 - 86
86 - 93
93 - 100
100 - 107
107 - 114
114 - 121
121 - 128
No. of students
9
16
15
17
13
6
11
(ii)
Score
79 - 86
86 - 93
93 - 100
100 - 107
107 - 114
114 - 121
121 - 128
No. of students
9
11
15
22
13
6
16
(iii)
Score
79 - 86
86 - 93
93 - 100
100 - 107
107 - 114
114 - 121
121 - 128
No. of students
9
11
15
17
13
6
16
(iv)
Score
79 - 86
86 - 93
93 - 100
100 - 107
107 - 114
114 - 121
121 - 128
No. of students
9
15
11
17
13
6
16
(v)
Score
79 - 86
86 - 93
93 - 100
100 - 107
107 - 114
114 - 121
121 - 128
No. of students
9
11
13
17
13
6
16
Question
14
14.
Temperatures of 87 days (in °C) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Temperature (in degree)
31 - 40
40 - 49
49 - 58
58 - 67
67 - 76
76 - 85
No. of days
18
10
18
18
15
6
(ii)
Temperature (in degree)
31 - 40
40 - 49
49 - 58
58 - 67
67 - 76
76 - 85
No. of days
18
18
10
20
15
6
(iii)
Temperature (in degree)
31 - 40
40 - 49
49 - 58
58 - 67
67 - 76
76 - 85
No. of days
18
10
18
20
15
6
(iv)
Temperature (in degree)
31 - 40
40 - 49
49 - 58
58 - 67
67 - 76
76 - 85
No. of days
18
10
14
20
15
6
(v)
Temperature (in degree)
31 - 40
40 - 49
49 - 58
58 - 67
67 - 76
76 - 85
No. of days
18
6
18
20
15
10
Question
15
15.
Temperatures of 115 days (in °C) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Temperature (in degree)
29 - 38
39 - 48
49 - 58
59 - 68
69 - 78
79 - 88
89 - 98
99 - 108
No. of days
16
14
17
16
20
6
17
9
(ii)
Temperature (in degree)
29 - 38
39 - 48
49 - 58
59 - 68
69 - 78
79 - 88
89 - 98
99 - 108
No. of days
16
14
16
17
15
6
17
9
(iii)
Temperature (in degree)
29 - 38
39 - 48
49 - 58
59 - 68
69 - 78
79 - 88
89 - 98
99 - 108
No. of days
16
9
16
17
20
6
17
14
(iv)
Temperature (in degree)
29 - 38
39 - 48
49 - 58
59 - 68
69 - 78
79 - 88
89 - 98
99 - 108
No. of days
16
14
14
17
20
6
17
9
(v)
Temperature (in degree)
29 - 38
39 - 48
49 - 58
59 - 68
69 - 78
79 - 88
89 - 98
99 - 108
No. of days
16
14
16
17
20
6
17
9
Question
16
16.
Weights of 79 students (in kg) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Weight (in kg)
46 - 56
56 - 66
66 - 76
76 - 86
86 - 96
No. of students
19
16
19
17
10
(ii)
Weight (in kg)
46 - 56
56 - 66
66 - 76
76 - 86
86 - 96
No. of students
19
17
16
17
10
(iii)
Weight (in kg)
46 - 56
56 - 66
66 - 76
76 - 86
86 - 96
No. of students
19
16
17
17
10
(iv)
Weight (in kg)
46 - 56
56 - 66
66 - 76
76 - 86
86 - 96
No. of students
19
14
17
17
10
(v)
Weight (in kg)
46 - 56
56 - 66
66 - 76
76 - 86
86 - 96
No. of students
19
10
17
17
16
Question
17
17.
Weights of 91 students (in kg) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Weight (in kg)
56 - 66
67 - 77
78 - 88
89 - 99
100 - 110
111 - 121
122 - 132
No. of students
9
8
5
16
19
15
15
(ii)
Weight (in kg)
56 - 66
67 - 77
78 - 88
89 - 99
100 - 110
111 - 121
122 - 132
No. of students
9
15
5
20
19
15
8
(iii)
Weight (in kg)
56 - 66
67 - 77
78 - 88
89 - 99
100 - 110
111 - 121
122 - 132
No. of students
9
8
9
20
19
15
15
(iv)
Weight (in kg)
56 - 66
67 - 77
78 - 88
89 - 99
100 - 110
111 - 121
122 - 132
No. of students
9
5
8
20
19
15
15
(v)
Weight (in kg)
56 - 66
67 - 77
78 - 88
89 - 99
100 - 110
111 - 121
122 - 132
No. of students
9
8
5
20
19
15
15
Question
18
18.
Rainfall of 96 days (in mm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Rainfall (in mm)
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
No. of days
20
15
5
16
7
12
16
5
(ii)
Rainfall (in mm)
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
No. of days
20
15
14
5
7
12
16
5
(iii)
Rainfall (in mm)
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
No. of days
20
5
16
5
7
12
16
15
(iv)
Rainfall (in mm)
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
No. of days
20
15
16
5
5
12
16
5
(v)
Rainfall (in mm)
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
No. of days
20
15
16
5
7
12
16
5
Question
19
19.
Rainfall of 81 days (in mm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Rainfall (in mm)
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
No. of days
18
19
15
14
15
(ii)
Rainfall (in mm)
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
No. of days
18
15
15
14
19
(iii)
Rainfall (in mm)
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
No. of days
18
15
11
14
19
(iv)
Rainfall (in mm)
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
No. of days
18
18
15
14
19
Question
20
20.
Daily wages of 76 labourers (in ₹) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Daily wage (in Rs)
224 - 233
233 - 242
242 - 251
251 - 260
260 - 269
269 - 278
No. of labourers
12
9
12
18
16
6
(ii)
Daily wage (in Rs)
224 - 233
233 - 242
242 - 251
251 - 260
260 - 269
269 - 278
No. of labourers
12
6
15
18
16
9
(iii)
Daily wage (in Rs)
224 - 233
233 - 242
242 - 251
251 - 260
260 - 269
269 - 278
No. of labourers
12
15
9
18
16
6
(iv)
Daily wage (in Rs)
224 - 233
233 - 242
242 - 251
251 - 260
260 - 269
269 - 278
No. of labourers
12
9
15
22
16
6
(v)
Daily wage (in Rs)
224 - 233
233 - 242
242 - 251
251 - 260
260 - 269
269 - 278
No. of labourers
12
9
15
18
16
6
Question
21
21.
Daily wages of 62 labourers (in ₹) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Daily wage (in Rs)
207 - 214
215 - 222
223 - 230
231 - 238
239 - 246
No. of labourers
17
16
8
13
8
(ii)
Daily wage (in Rs)
207 - 214
215 - 222
223 - 230
231 - 238
239 - 246
No. of labourers
17
8
8
13
16
(iii)
Daily wage (in Rs)
207 - 214
215 - 222
223 - 230
231 - 238
239 - 246
No. of labourers
17
20
8
13
8
(iv)
Daily wage (in Rs)
207 - 214
215 - 222
223 - 230
231 - 238
239 - 246
No. of labourers
17
8
16
13
8
(v)
Daily wage (in Rs)
207 - 214
215 - 222
223 - 230
231 - 238
239 - 246
No. of labourers
17
16
13
13
8
Question
22
22.
The heights of 31 pupils in a school are given below. Identify the frequency distribution table for the given less than ogive.
(i)
Height (in cm)
less than 134
less than 142
less than 150
less than 158
less than 166
No. of pupils
4
13
21
28
31
(ii)
Height (in cm)
less than 134
less than 142
less than 150
less than 158
less than 166
No. of pupils
4
7
16
23
31
(iii)
Height (in cm)
less than 134
less than 142
less than 150
less than 158
less than 166
No. of pupils
4
12
21
28
31
(iv)
Height (in cm)
less than 134
less than 142
less than 150
less than 158
less than 166
No. of pupils
4
12
26
33
36
(v)
Height (in cm)
less than 134
less than 142
less than 150
less than 158
less than 166
No. of pupils
4
14
23
30
33
Question
23
23.
The daily income of 35 workers of a factory is given below. Identify the frequency distribution table for the given less than ogive.
(i)
Daily income (in Rs)
less than 110
less than 120
less than 130
less than 140
less than 150
No. of workers
6
14
22
30
35
(ii)
Daily income (in Rs)
less than 110
less than 120
less than 130
less than 140
less than 150
No. of workers
6
11
19
27
35
(iii)
Daily income (in Rs)
less than 110
less than 120
less than 130
less than 140
less than 150
No. of workers
6
16
24
32
40
(iv)
Daily income (in Rs)
less than 110
less than 120
less than 130
less than 140
less than 150
No. of workers
6
11
15
23
31
(v)
Daily income (in Rs)
less than 110
less than 120
less than 130
less than 140
less than 150
No. of workers
6
14
19
27
35
Question
24
24.
The marks obtained by 36 students of a class in an examination is given below. Identify the frequency distribution table for the given less than ogive.
(i)
Marks
less than 15
less than 20
less than 25
less than 30
less than 35
No. of students
8
16
24
31
38
(ii)
Marks
less than 15
less than 20
less than 25
less than 30
less than 35
No. of students
8
19
25
32
39
(iii)
Marks
less than 15
less than 20
less than 25
less than 30
less than 35
No. of students
8
16
22
29
36
(iv)
Marks
less than 15
less than 20
less than 25
less than 30
less than 35
No. of students
8
15
21
28
36
(v)
Marks
less than 15
less than 20
less than 25
less than 30
less than 35
No. of students
8
14
22
29
36
Question
25
25.
The production yield in kg per hectare of wheat of 48 farms of a village is given below. Identify the frequency distribution table for the given less than ogive.
(i)
Production yield (in kg/ha)
less than 69
less than 78
less than 87
less than 96
less than 105
less than 114
Number of farms
9
16
24
32
38
48
(ii)
Production yield (in kg/ha)
less than 69
less than 78
less than 87
less than 96
less than 105
less than 114
Number of farms
9
16
24
28
34
44
(iii)
Production yield (in kg/ha)
less than 69
less than 78
less than 87
less than 96
less than 105
less than 114
Number of farms
9
17
24
32
38
48
(iv)
Production yield (in kg/ha)
less than 69
less than 78
less than 87
less than 96
less than 105
less than 114
Number of farms
9
16
20
28
34
44
(v)
Production yield (in kg/ha)
less than 69
less than 78
less than 87
less than 96
less than 105
less than 114
Number of farms
9
19
27
35
41
48
Assignment Key
1) (i)
2) (iv)
3) (v)
4) (v)
5) (ii)
6) (ii)
7) (iv)
8) (i)
9) (iii)
10) (v)
11) (iii)
12) (ii)
13) (iii)
14) (iii)
15) (v)
16) (iii)
17) (v)
18) (v)
19) (ii)
20) (v)
21) (i)
22) (iii)
23) (ii)
24) (iii)
25) (i)