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
15 - 23
23 - 31
31 - 39
39 - 47
47 - 55
Frequency
20
14
18
10
15
(ii)
Class-Interval
15 - 23
23 - 31
31 - 39
39 - 47
47 - 55
Frequency
4
1
2
20
13
(iii)
Class-Interval
15 - 23
23 - 31
31 - 39
39 - 47
47 - 55
Frequency
15
15
3
7
1
(iv)
Class-Interval
15 - 23
23 - 31
31 - 39
39 - 47
47 - 55
Frequency
18
8
9
3
13
(v)
Class-Interval
15 - 23
23 - 31
31 - 39
39 - 47
47 - 55
Frequency
9
10
10
16
4
Question
2
2.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
54 - 61
62 - 69
70 - 77
Frequency
20
6
14
19
6
16
4
20
(ii)
Class-Interval
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
54 - 61
62 - 69
70 - 77
Frequency
10
6
6
2
14
14
1
15
(iii)
Class-Interval
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
54 - 61
62 - 69
70 - 77
Frequency
16
9
12
18
17
20
5
9
(iv)
Class-Interval
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
54 - 61
62 - 69
70 - 77
Frequency
20
2
4
1
16
5
3
17
(v)
Class-Interval
14 - 21
22 - 29
30 - 37
38 - 45
46 - 53
54 - 61
62 - 69
70 - 77
Frequency
4
3
10
7
5
11
9
7
Question
3
3.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
Frequency
9
12
5
6
17
(ii)
Class-Interval
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
Frequency
7
20
3
7
6
(iii)
Class-Interval
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
Frequency
10
7
9
8
4
(iv)
Class-Interval
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
Frequency
10
6
3
6
7
(v)
Class-Interval
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
Frequency
16
17
14
1
4
Question
4
4.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
Frequency
15
10
14
13
16
8
17
18
(ii)
Class-Interval
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
Frequency
12
3
16
3
17
14
8
6
(iii)
Class-Interval
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
Frequency
12
5
4
11
11
7
4
5
(iv)
Class-Interval
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
Frequency
1
17
5
4
16
20
19
16
(v)
Class-Interval
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
Frequency
2
10
18
3
5
6
14
10
Question
5
5.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
Frequency
1
18
7
15
8
8
12
15
(ii)
Class-Interval
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
Frequency
6
4
7
7
5
11
12
7
(iii)
Class-Interval
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
Frequency
13
8
15
10
8
9
1
13
(iv)
Class-Interval
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
Frequency
8
1
16
3
15
18
9
7
(v)
Class-Interval
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
Frequency
7
3
5
13
3
1
9
18
Question
6
6.
The heights of 57 pupils in a school are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
125 - 135
136 - 146
147 - 157
158 - 168
169 - 179
180 - 190
191 - 201
No. of pupils
7
10
11
7
7
11
4
(ii)
Height (in cm)
125 - 135
136 - 146
147 - 157
158 - 168
169 - 179
180 - 190
191 - 201
No. of pupils
7
10
14
7
7
11
4
(iii)
Height (in cm)
125 - 135
136 - 146
147 - 157
158 - 168
169 - 179
180 - 190
191 - 201
No. of pupils
7
11
10
7
7
11
4
(iv)
Height (in cm)
125 - 135
136 - 146
147 - 157
158 - 168
169 - 179
180 - 190
191 - 201
No. of pupils
7
10
11
9
7
11
4
(v)
Height (in cm)
125 - 135
136 - 146
147 - 157
158 - 168
169 - 179
180 - 190
191 - 201
No. of pupils
7
4
11
7
7
11
10
Question
7
7.
Heights of 64 students (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
128 - 134
134 - 140
140 - 146
146 - 152
152 - 158
158 - 164
No. of students
13
6
5
20
14
6
(ii)
Height (in cm)
128 - 134
134 - 140
140 - 146
146 - 152
152 - 158
158 - 164
No. of students
13
6
5
16
14
6
(iii)
Height (in cm)
128 - 134
134 - 140
140 - 146
146 - 152
152 - 158
158 - 164
No. of students
13
5
6
20
14
6
(iv)
Height (in cm)
128 - 134
134 - 140
140 - 146
146 - 152
152 - 158
158 - 164
No. of students
13
6
10
20
14
6
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)
120 - 126
127 - 133
134 - 140
141 - 147
148 - 154
155 - 161
162 - 168
No. of students
15
5
12
13
19
14
12
(ii)
Height (in cm)
120 - 126
127 - 133
134 - 140
141 - 147
148 - 154
155 - 161
162 - 168
No. of students
15
12
12
13
19
14
5
(iii)
Height (in cm)
120 - 126
127 - 133
134 - 140
141 - 147
148 - 154
155 - 161
162 - 168
No. of students
15
12
9
13
19
14
5
(iv)
Height (in cm)
120 - 126
127 - 133
134 - 140
141 - 147
148 - 154
155 - 161
162 - 168
No. of students
15
12
12
15
19
14
5
Question
9
9.
Heights of 91 plants (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
99 - 106
106 - 113
No. of plants
17
13
14
15
10
14
10
(ii)
Height (in cm)
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
99 - 106
106 - 113
No. of plants
17
13
12
15
10
14
10
(iii)
Height (in cm)
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
99 - 106
106 - 113
No. of plants
17
10
12
15
10
14
13
(iv)
Height (in cm)
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
99 - 106
106 - 113
No. of plants
17
13
12
19
10
14
10
(v)
Height (in cm)
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
99 - 106
106 - 113
No. of plants
17
12
13
15
10
14
10
Question
10
10.
Heights of 61 plants (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
63 - 71
72 - 80
81 - 89
90 - 98
99 - 107
No. of plants
6
12
20
6
15
(ii)
Height (in cm)
63 - 71
72 - 80
81 - 89
90 - 98
99 - 107
No. of plants
6
14
22
6
15
(iii)
Height (in cm)
63 - 71
72 - 80
81 - 89
90 - 98
99 - 107
No. of plants
6
15
20
6
14
(iv)
Height (in cm)
63 - 71
72 - 80
81 - 89
90 - 98
99 - 107
No. of plants
6
14
20
6
15
(v)
Height (in cm)
63 - 71
72 - 80
81 - 89
90 - 98
99 - 107
No. of plants
6
20
14
6
15
Question
11
11.
Ages of 83 students (in years) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Age (in years)
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
No. of students
8
9
16
7
5
8
14
16
(ii)
Age (in years)
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
No. of students
8
9
20
7
5
8
14
16
(iii)
Age (in years)
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
No. of students
8
16
16
7
5
8
14
9
(iv)
Age (in years)
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
No. of students
8
9
7
16
5
8
14
16
(v)
Age (in years)
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
No. of students
8
9
16
7
9
8
14
16
Question
12
12.
Ages of 60 students (in years) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Age (in years)
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
No. of students
8
6
15
5
7
11
5
(ii)
Age (in years)
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
No. of students
8
5
18
5
7
11
6
(iii)
Age (in years)
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
No. of students
8
6
18
10
7
11
5
(iv)
Age (in years)
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
No. of students
8
6
18
5
7
11
5
(v)
Age (in years)
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
No. of students
8
18
6
5
7
11
5
Question
13
13.
Scores of 67 students are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Score
70 - 76
76 - 82
82 - 88
88 - 94
94 - 100
No. of students
8
7
18
15
19
(ii)
Score
70 - 76
76 - 82
82 - 88
88 - 94
94 - 100
No. of students
8
19
21
15
7
(iii)
Score
70 - 76
76 - 82
82 - 88
88 - 94
94 - 100
No. of students
8
19
18
15
7
(iv)
Score
70 - 76
76 - 82
82 - 88
88 - 94
94 - 100
No. of students
8
18
19
15
7
(v)
Score
70 - 76
76 - 82
82 - 88
88 - 94
94 - 100
No. of students
8
17
18
15
7
Question
14
14.
Temperatures of 102 days (in °C) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Temperature (in degree)
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
No. of days
18
7
20
16
13
17
9
(ii)
Temperature (in degree)
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
No. of days
18
7
25
18
13
17
9
(iii)
Temperature (in degree)
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
No. of days
18
9
20
18
13
17
7
(iv)
Temperature (in degree)
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
No. of days
18
20
7
18
13
17
9
(v)
Temperature (in degree)
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
No. of days
18
7
20
18
13
17
9
Question
15
15.
Temperatures of 69 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
No. of days
13
5
9
14
11
17
(ii)
Temperature (in degree)
29 - 38
39 - 48
49 - 58
59 - 68
69 - 78
79 - 88
No. of days
13
17
9
14
11
5
(iii)
Temperature (in degree)
29 - 38
39 - 48
49 - 58
59 - 68
69 - 78
79 - 88
No. of days
13
9
17
14
11
5
(iv)
Temperature (in degree)
29 - 38
39 - 48
49 - 58
59 - 68
69 - 78
79 - 88
No. of days
13
17
14
14
11
5
(v)
Temperature (in degree)
29 - 38
39 - 48
49 - 58
59 - 68
69 - 78
79 - 88
No. of days
13
17
9
12
11
5
Question
16
16.
Weights of 110 students (in kg) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Weight (in kg)
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
No. of students
19
18
20
8
5
6
17
17
(ii)
Weight (in kg)
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
No. of students
19
17
8
20
5
6
17
18
(iii)
Weight (in kg)
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
No. of students
19
17
17
8
5
6
17
18
(iv)
Weight (in kg)
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
No. of students
19
17
20
8
7
6
17
18
(v)
Weight (in kg)
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
No. of students
19
17
20
8
5
6
17
18
Question
17
17.
Weights of 105 students (in kg) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Weight (in kg)
41 - 48
49 - 56
57 - 64
65 - 72
73 - 80
81 - 88
89 - 96
97 - 104
No. of students
8
12
2
20
12
14
17
16
(ii)
Weight (in kg)
41 - 48
49 - 56
57 - 64
65 - 72
73 - 80
81 - 88
89 - 96
97 - 104
No. of students
8
16
6
20
12
14
17
12
(iii)
Weight (in kg)
41 - 48
49 - 56
57 - 64
65 - 72
73 - 80
81 - 88
89 - 96
97 - 104
No. of students
8
12
20
6
12
14
17
16
(iv)
Weight (in kg)
41 - 48
49 - 56
57 - 64
65 - 72
73 - 80
81 - 88
89 - 96
97 - 104
No. of students
8
12
6
20
12
14
17
16
(v)
Weight (in kg)
41 - 48
49 - 56
57 - 64
65 - 72
73 - 80
81 - 88
89 - 96
97 - 104
No. of students
8
12
6
20
7
14
17
16
Question
18
18.
Rainfall of 89 days (in mm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Rainfall (in mm)
8 - 16
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
No. of days
20
14
10
18
10
5
5
11
(ii)
Rainfall (in mm)
8 - 16
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
No. of days
20
11
6
18
10
5
5
14
(iii)
Rainfall (in mm)
8 - 16
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
No. of days
20
14
6
18
10
5
5
11
(iv)
Rainfall (in mm)
8 - 16
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
No. of days
20
14
6
18
14
5
5
11
(v)
Rainfall (in mm)
8 - 16
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
No. of days
20
14
18
6
10
5
5
11
Question
19
19.
Rainfall of 96 days (in mm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Rainfall (in mm)
6 - 16
17 - 27
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
No. of days
5
17
15
7
17
10
6
19
(ii)
Rainfall (in mm)
6 - 16
17 - 27
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
No. of days
5
17
7
15
12
10
6
19
(iii)
Rainfall (in mm)
6 - 16
17 - 27
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
No. of days
5
17
7
15
17
10
6
19
(iv)
Rainfall (in mm)
6 - 16
17 - 27
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
No. of days
5
19
7
15
17
10
6
17
(v)
Rainfall (in mm)
6 - 16
17 - 27
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
No. of days
5
17
4
15
17
10
6
19
Question
20
20.
Daily wages of 106 labourers (in ₹) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Daily wage (in Rs)
226 - 236
236 - 246
246 - 256
256 - 266
266 - 276
276 - 286
286 - 296
296 - 306
No. of labourers
19
13
18
11
6
12
15
12
(ii)
Daily wage (in Rs)
226 - 236
236 - 246
246 - 256
256 - 266
266 - 276
276 - 286
286 - 296
296 - 306
No. of labourers
19
12
11
18
6
12
15
13
(iii)
Daily wage (in Rs)
226 - 236
236 - 246
246 - 256
256 - 266
266 - 276
276 - 286
286 - 296
296 - 306
No. of labourers
19
13
11
18
6
12
15
12
(iv)
Daily wage (in Rs)
226 - 236
236 - 246
246 - 256
256 - 266
266 - 276
276 - 286
286 - 296
296 - 306
No. of labourers
19
13
16
18
6
12
15
12
(v)
Daily wage (in Rs)
226 - 236
236 - 246
246 - 256
256 - 266
266 - 276
276 - 286
286 - 296
296 - 306
No. of labourers
19
13
11
18
3
12
15
12
Question
21
21.
Daily wages of 56 labourers (in ₹) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Daily wage (in Rs)
237 - 244
245 - 252
253 - 260
261 - 268
269 - 276
277 - 284
No. of labourers
5
11
8
6
11
15
(ii)
Daily wage (in Rs)
237 - 244
245 - 252
253 - 260
261 - 268
269 - 276
277 - 284
No. of labourers
5
15
13
6
11
11
(iii)
Daily wage (in Rs)
237 - 244
245 - 252
253 - 260
261 - 268
269 - 276
277 - 284
No. of labourers
5
15
8
11
11
11
(iv)
Daily wage (in Rs)
237 - 244
245 - 252
253 - 260
261 - 268
269 - 276
277 - 284
No. of labourers
5
15
8
6
11
11
(v)
Daily wage (in Rs)
237 - 244
245 - 252
253 - 260
261 - 268
269 - 276
277 - 284
No. of labourers
5
8
15
6
11
11
Question
22
22.
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)
less than 132
less than 142
less than 152
less than 162
less than 172
No. of pupils
5
12
24
34
45
(ii)
Height (in cm)
less than 132
less than 142
less than 152
less than 162
less than 172
No. of pupils
5
17
29
39
50
(iii)
Height (in cm)
less than 132
less than 142
less than 152
less than 162
less than 172
No. of pupils
5
12
20
30
41
(iv)
Height (in cm)
less than 132
less than 142
less than 152
less than 162
less than 172
No. of pupils
5
17
24
34
45
(v)
Height (in cm)
less than 132
less than 142
less than 152
less than 162
less than 172
No. of pupils
5
16
28
38
45
Question
23
23.
The daily income of 41 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 210
less than 220
less than 230
less than 240
less than 250
No. of workers
7
15
25
31
41
(ii)
Daily income (in Rs)
less than 210
less than 220
less than 230
less than 240
less than 250
No. of workers
7
20
28
34
44
(iii)
Daily income (in Rs)
less than 210
less than 220
less than 230
less than 240
less than 250
No. of workers
7
17
23
29
39
(iv)
Daily income (in Rs)
less than 210
less than 220
less than 230
less than 240
less than 250
No. of workers
7
17
25
31
41
Question
24
24.
The marks obtained by 49 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 20
less than 25
less than 30
less than 35
less than 40
less than 45
less than 50
No. of students
5
14
21
27
32
42
49
(ii)
Marks
less than 20
less than 25
less than 30
less than 35
less than 40
less than 45
less than 50
No. of students
5
12
23
29
34
44
51
(iii)
Marks
less than 20
less than 25
less than 30
less than 35
less than 40
less than 45
less than 50
No. of students
5
12
21
32
37
47
54
(iv)
Marks
less than 20
less than 25
less than 30
less than 35
less than 40
less than 45
less than 50
No. of students
5
12
21
27
32
42
49
Question
25
25.
The production yield in kg per hectare of wheat of 30 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 62
less than 69
less than 76
less than 83
Number of farms
8
16
19
26
(ii)
Production yield (in kg/ha)
less than 62
less than 69
less than 76
less than 83
Number of farms
7
15
22
30
(iii)
Production yield (in kg/ha)
less than 62
less than 69
less than 76
less than 83
Number of farms
8
16
23
30
(iv)
Production yield (in kg/ha)
less than 62
less than 69
less than 76
less than 83
Number of farms
8
13
20
27
(v)
Production yield (in kg/ha)
less than 62
less than 69
less than 76
less than 83
Number of farms
8
15
23
30
Assignment Key
1) (ii)
2) (v)
3) (iv)
4) (iii)
5) (ii)
6) (i)
7) (i)
8) (ii)
9) (ii)
10) (iv)
11) (i)
12) (iv)
13) (iii)
14) (v)
15) (ii)
16) (v)
17) (iv)
18) (iii)
19) (iii)
20) (iii)
21) (iv)
22) (i)
23) (iv)
24) (iv)
25) (iii)