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
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
Frequency
19
14
1
16
3
13
(ii)
Class-Interval
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
Frequency
1
19
4
18
17
8
(iii)
Class-Interval
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
Frequency
11
12
8
12
2
6
(iv)
Class-Interval
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
Frequency
11
5
3
7
15
6
(v)
Class-Interval
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
Frequency
11
13
4
17
4
20
Question
2
2.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
Frequency
13
6
12
7
6
(ii)
Class-Interval
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
Frequency
12
13
11
8
17
(iii)
Class-Interval
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
Frequency
10
10
20
9
2
(iv)
Class-Interval
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
Frequency
13
8
1
1
8
(v)
Class-Interval
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
Frequency
9
4
7
7
6
Question
3
3.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
51 - 58
Frequency
5
8
8
5
1
8
(ii)
Class-Interval
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
51 - 58
Frequency
12
12
20
2
11
8
(iii)
Class-Interval
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
51 - 58
Frequency
5
6
12
3
7
6
(iv)
Class-Interval
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
51 - 58
Frequency
3
20
19
11
13
12
(v)
Class-Interval
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
51 - 58
Frequency
16
16
18
13
14
6
Question
4
4.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
11 - 19
20 - 28
29 - 37
38 - 46
47 - 55
56 - 64
65 - 73
74 - 82
Frequency
3
11
8
6
7
8
5
11
(ii)
Class-Interval
11 - 19
20 - 28
29 - 37
38 - 46
47 - 55
56 - 64
65 - 73
74 - 82
Frequency
17
16
6
15
9
13
6
19
(iii)
Class-Interval
11 - 19
20 - 28
29 - 37
38 - 46
47 - 55
56 - 64
65 - 73
74 - 82
Frequency
13
13
4
18
8
16
6
15
(iv)
Class-Interval
11 - 19
20 - 28
29 - 37
38 - 46
47 - 55
56 - 64
65 - 73
74 - 82
Frequency
15
20
9
17
5
20
4
20
(v)
Class-Interval
11 - 19
20 - 28
29 - 37
38 - 46
47 - 55
56 - 64
65 - 73
74 - 82
Frequency
16
20
20
19
11
13
9
11
Question
5
5.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
Frequency
1
20
4
8
17
(ii)
Class-Interval
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
Frequency
10
17
10
15
7
(iii)
Class-Interval
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
Frequency
10
4
5
10
11
(iv)
Class-Interval
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
Frequency
5
16
5
1
8
(v)
Class-Interval
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
Frequency
2
8
3
11
7
Question
6
6.
The heights of 51 pupils in a school are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
128 - 135
136 - 143
144 - 151
152 - 159
160 - 167
168 - 175
No. of pupils
9
5
10
8
11
8
(ii)
Height (in cm)
128 - 135
136 - 143
144 - 151
152 - 159
160 - 167
168 - 175
No. of pupils
9
10
8
8
11
5
(iii)
Height (in cm)
128 - 135
136 - 143
144 - 151
152 - 159
160 - 167
168 - 175
No. of pupils
9
8
10
8
11
5
(iv)
Height (in cm)
128 - 135
136 - 143
144 - 151
152 - 159
160 - 167
168 - 175
No. of pupils
9
8
14
8
11
5
(v)
Height (in cm)
128 - 135
136 - 143
144 - 151
152 - 159
160 - 167
168 - 175
No. of pupils
9
8
10
12
11
5
Question
7
7.
Heights of 109 students (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
124 - 134
134 - 144
144 - 154
154 - 164
164 - 174
174 - 184
184 - 194
No. of students
19
11
20
14
15
15
15
(ii)
Height (in cm)
124 - 134
134 - 144
144 - 154
154 - 164
164 - 174
174 - 184
184 - 194
No. of students
19
15
22
14
15
15
11
(iii)
Height (in cm)
124 - 134
134 - 144
144 - 154
154 - 164
164 - 174
174 - 184
184 - 194
No. of students
19
15
20
9
15
15
11
(iv)
Height (in cm)
124 - 134
134 - 144
144 - 154
154 - 164
164 - 174
174 - 184
184 - 194
No. of students
19
15
20
14
15
15
11
(v)
Height (in cm)
124 - 134
134 - 144
144 - 154
154 - 164
164 - 174
174 - 184
184 - 194
No. of students
19
20
15
14
15
15
11
Question
8
8.
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 - 138
139 - 149
150 - 160
161 - 171
172 - 182
183 - 193
No. of students
20
16
12
11
12
17
(ii)
Height (in cm)
128 - 138
139 - 149
150 - 160
161 - 171
172 - 182
183 - 193
No. of students
20
16
8
13
12
17
(iii)
Height (in cm)
128 - 138
139 - 149
150 - 160
161 - 171
172 - 182
183 - 193
No. of students
20
16
12
13
12
17
(iv)
Height (in cm)
128 - 138
139 - 149
150 - 160
161 - 171
172 - 182
183 - 193
No. of students
20
12
16
13
12
17
(v)
Height (in cm)
128 - 138
139 - 149
150 - 160
161 - 171
172 - 182
183 - 193
No. of students
20
17
12
13
12
16
Question
9
9.
Heights of 72 plants (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
63 - 68
68 - 73
73 - 78
78 - 83
83 - 88
88 - 93
93 - 98
No. of plants
5
18
10
7
18
9
5
(ii)
Height (in cm)
63 - 68
68 - 73
73 - 78
78 - 83
83 - 88
88 - 93
93 - 98
No. of plants
5
10
18
7
18
9
5
(iii)
Height (in cm)
63 - 68
68 - 73
73 - 78
78 - 83
83 - 88
88 - 93
93 - 98
No. of plants
5
5
10
7
18
9
18
(iv)
Height (in cm)
63 - 68
68 - 73
73 - 78
78 - 83
83 - 88
88 - 93
93 - 98
No. of plants
5
18
15
7
18
9
5
(v)
Height (in cm)
63 - 68
68 - 73
73 - 78
78 - 83
83 - 88
88 - 93
93 - 98
No. of plants
5
18
10
12
18
9
5
Question
10
10.
Heights of 79 plants (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
66 - 72
73 - 79
80 - 86
87 - 93
94 - 100
101 - 107
No. of plants
13
7
16
18
16
9
(ii)
Height (in cm)
66 - 72
73 - 79
80 - 86
87 - 93
94 - 100
101 - 107
No. of plants
13
7
19
18
16
9
(iii)
Height (in cm)
66 - 72
73 - 79
80 - 86
87 - 93
94 - 100
101 - 107
No. of plants
13
7
16
21
16
9
(iv)
Height (in cm)
66 - 72
73 - 79
80 - 86
87 - 93
94 - 100
101 - 107
No. of plants
13
16
7
18
16
9
(v)
Height (in cm)
66 - 72
73 - 79
80 - 86
87 - 93
94 - 100
101 - 107
No. of plants
13
9
16
18
16
7
Question
11
11.
Ages of 79 students (in years) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Age (in years)
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
No. of students
13
5
18
7
7
12
7
10
(ii)
Age (in years)
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
No. of students
13
10
18
7
9
12
7
5
(iii)
Age (in years)
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
No. of students
13
10
7
18
7
12
7
5
(iv)
Age (in years)
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
No. of students
13
10
18
7
7
12
7
5
(v)
Age (in years)
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
No. of students
13
10
14
7
7
12
7
5
Question
12
12.
Ages of 70 students (in years) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Age (in years)
17 - 24
25 - 32
33 - 40
41 - 48
49 - 56
57 - 64
No. of students
9
8
18
11
6
18
(ii)
Age (in years)
17 - 24
25 - 32
33 - 40
41 - 48
49 - 56
57 - 64
No. of students
9
8
13
11
6
18
(iii)
Age (in years)
17 - 24
25 - 32
33 - 40
41 - 48
49 - 56
57 - 64
No. of students
9
18
8
11
6
18
(iv)
Age (in years)
17 - 24
25 - 32
33 - 40
41 - 48
49 - 56
57 - 64
No. of students
9
18
18
11
6
8
(v)
Age (in years)
17 - 24
25 - 32
33 - 40
41 - 48
49 - 56
57 - 64
No. of students
9
8
18
7
6
18
Question
13
13.
Scores of 99 students are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Score
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
103 - 108
108 - 113
113 - 118
No. of students
15
15
5
7
10
11
18
18
(ii)
Score
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
103 - 108
108 - 113
113 - 118
No. of students
15
15
7
5
10
11
18
18
(iii)
Score
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
103 - 108
108 - 113
113 - 118
No. of students
15
15
3
5
10
11
18
18
(iv)
Score
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
103 - 108
108 - 113
113 - 118
No. of students
15
15
7
5
13
11
18
18
(v)
Score
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
103 - 108
108 - 113
113 - 118
No. of students
15
18
7
5
10
11
18
15
Question
14
14.
Temperatures of 124 days (in °C) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Temperature (in degree)
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
76 - 83
No. of days
6
20
19
10
16
20
14
19
(ii)
Temperature (in degree)
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
76 - 83
No. of days
6
19
19
10
16
20
14
20
(iii)
Temperature (in degree)
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
76 - 83
No. of days
6
19
10
19
16
20
14
20
(iv)
Temperature (in degree)
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
76 - 83
No. of days
6
19
19
10
19
20
14
20
(v)
Temperature (in degree)
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
76 - 83
No. of days
6
19
24
10
16
20
14
20
Question
15
15.
Temperatures of 95 days (in °C) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Temperature (in degree)
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
No. of days
17
8
11
7
15
5
9
19
(ii)
Temperature (in degree)
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
No. of days
17
8
9
7
19
5
9
19
(iii)
Temperature (in degree)
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
No. of days
17
19
11
7
19
5
9
8
(iv)
Temperature (in degree)
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
No. of days
17
8
7
11
19
5
9
19
(v)
Temperature (in degree)
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
No. of days
17
8
11
7
19
5
9
19
Question
16
16.
Weights of 50 students (in kg) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Weight (in kg)
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
No. of students
11
8
9
13
9
(ii)
Weight (in kg)
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
No. of students
11
8
5
13
9
(iii)
Weight (in kg)
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
No. of students
11
9
8
13
9
(iv)
Weight (in kg)
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
No. of students
11
12
9
13
9
(v)
Weight (in kg)
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
No. of students
11
9
9
13
8
Question
17
17.
Weights of 97 students (in kg) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Weight (in kg)
51 - 58
59 - 66
67 - 74
75 - 82
83 - 90
91 - 98
99 - 106
No. of students
8
18
13
11
7
17
19
(ii)
Weight (in kg)
51 - 58
59 - 66
67 - 74
75 - 82
83 - 90
91 - 98
99 - 106
No. of students
8
18
13
15
7
17
19
(iii)
Weight (in kg)
51 - 58
59 - 66
67 - 74
75 - 82
83 - 90
91 - 98
99 - 106
No. of students
8
18
8
15
7
17
19
(iv)
Weight (in kg)
51 - 58
59 - 66
67 - 74
75 - 82
83 - 90
91 - 98
99 - 106
No. of students
8
13
18
15
7
17
19
(v)
Weight (in kg)
51 - 58
59 - 66
67 - 74
75 - 82
83 - 90
91 - 98
99 - 106
No. of students
8
19
13
15
7
17
18
Question
18
18.
Rainfall of 94 days (in mm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Rainfall (in mm)
9 - 17
17 - 25
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
No. of days
5
15
24
19
5
15
15
(ii)
Rainfall (in mm)
9 - 17
17 - 25
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
No. of days
5
15
20
19
5
15
15
(iii)
Rainfall (in mm)
9 - 17
17 - 25
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
No. of days
5
15
20
17
5
15
15
(iv)
Rainfall (in mm)
9 - 17
17 - 25
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
No. of days
5
20
15
19
5
15
15
Question
19
19.
Rainfall of 62 days (in mm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Rainfall (in mm)
7 - 13
14 - 20
21 - 27
28 - 34
35 - 41
42 - 48
No. of days
13
5
15
10
11
13
(ii)
Rainfall (in mm)
7 - 13
14 - 20
21 - 27
28 - 34
35 - 41
42 - 48
No. of days
13
5
10
13
11
13
(iii)
Rainfall (in mm)
7 - 13
14 - 20
21 - 27
28 - 34
35 - 41
42 - 48
No. of days
13
5
10
10
11
13
(iv)
Rainfall (in mm)
7 - 13
14 - 20
21 - 27
28 - 34
35 - 41
42 - 48
No. of days
13
10
5
10
11
13
(v)
Rainfall (in mm)
7 - 13
14 - 20
21 - 27
28 - 34
35 - 41
42 - 48
No. of days
13
13
10
10
11
5
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)
256 - 262
262 - 268
268 - 274
274 - 280
280 - 286
286 - 292
No. of labourers
8
6
22
8
16
19
(ii)
Daily wage (in Rs)
256 - 262
262 - 268
268 - 274
274 - 280
280 - 286
286 - 292
No. of labourers
8
6
19
12
16
19
(iii)
Daily wage (in Rs)
256 - 262
262 - 268
268 - 274
274 - 280
280 - 286
286 - 292
No. of labourers
8
6
19
8
16
19
(iv)
Daily wage (in Rs)
256 - 262
262 - 268
268 - 274
274 - 280
280 - 286
286 - 292
No. of labourers
8
19
6
8
16
19
(v)
Daily wage (in Rs)
256 - 262
262 - 268
268 - 274
274 - 280
280 - 286
286 - 292
No. of labourers
8
19
19
8
16
6
Question
21
21.
Daily wages of 74 labourers (in ₹) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Daily wage (in Rs)
263 - 271
272 - 280
281 - 289
290 - 298
299 - 307
No. of labourers
14
18
10
20
12
(ii)
Daily wage (in Rs)
263 - 271
272 - 280
281 - 289
290 - 298
299 - 307
No. of labourers
14
18
6
20
12
(iii)
Daily wage (in Rs)
263 - 271
272 - 280
281 - 289
290 - 298
299 - 307
No. of labourers
14
10
18
20
12
(iv)
Daily wage (in Rs)
263 - 271
272 - 280
281 - 289
290 - 298
299 - 307
No. of labourers
14
12
10
20
18
(v)
Daily wage (in Rs)
263 - 271
272 - 280
281 - 289
290 - 298
299 - 307
No. of labourers
14
15
10
20
12
Question
22
22.
The heights of 40 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 140
less than 146
less than 152
less than 158
No. of pupils
9
13
21
31
40
(ii)
Height (in cm)
less than 134
less than 140
less than 146
less than 152
less than 158
No. of pupils
9
17
26
36
40
(iii)
Height (in cm)
less than 134
less than 140
less than 146
less than 152
less than 158
No. of pupils
9
13
21
31
35
(iv)
Height (in cm)
less than 134
less than 140
less than 146
less than 152
less than 158
No. of pupils
9
18
26
36
40
(v)
Height (in cm)
less than 134
less than 140
less than 146
less than 152
less than 158
No. of pupils
9
18
31
41
45
Question
23
23.
The daily income of 27 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 120
less than 140
less than 160
less than 180
No. of workers
6
13
25
31
(ii)
Daily income (in Rs)
less than 120
less than 140
less than 160
less than 180
No. of workers
6
11
19
25
(iii)
Daily income (in Rs)
less than 120
less than 140
less than 160
less than 180
No. of workers
6
14
21
27
(iv)
Daily income (in Rs)
less than 120
less than 140
less than 160
less than 180
No. of workers
6
13
21
27
Question
24
24.
The marks obtained by 41 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 10
less than 15
less than 20
less than 25
less than 30
No. of students
6
16
23
31
41
(ii)
Marks
less than 10
less than 15
less than 20
less than 25
less than 30
No. of students
6
13
18
26
36
(iii)
Marks
less than 10
less than 15
less than 20
less than 25
less than 30
No. of students
6
13
23
31
41
(iv)
Marks
less than 10
less than 15
less than 20
less than 25
less than 30
No. of students
6
15
25
33
43
(v)
Marks
less than 10
less than 15
less than 20
less than 25
less than 30
No. of students
6
16
26
34
41
Question
25
25.
The production yield in kg per hectare of wheat of 46 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 57
less than 64
less than 71
less than 78
less than 85
Number of farms
9
19
28
36
46
(ii)
Production yield (in kg/ha)
less than 57
less than 64
less than 71
less than 78
less than 85
Number of farms
9
19
29
37
46
(iii)
Production yield (in kg/ha)
less than 57
less than 64
less than 71
less than 78
less than 85
Number of farms
9
21
31
39
49
(iv)
Production yield (in kg/ha)
less than 57
less than 64
less than 71
less than 78
less than 85
Number of farms
9
18
28
36
46
(v)
Production yield (in kg/ha)
less than 57
less than 64
less than 71
less than 78
less than 85
Number of farms
9
18
33
41
51
Assignment Key
1) (iv)
2) (v)
3) (iii)
4) (i)
5) (iii)
6) (iii)
7) (iv)
8) (iii)
9) (i)
10) (i)
11) (iv)
12) (i)
13) (ii)
14) (ii)
15) (v)
16) (i)
17) (ii)
18) (ii)
19) (iii)
20) (iii)
21) (i)
22) (iv)
23) (iv)
24) (iii)
25) (iv)