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 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
Frequency
14
11
11
15
9
10
13
(ii)
Class-Interval
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
Frequency
2
19
8
7
10
1
12
(iii)
Class-Interval
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
Frequency
6
5
10
12
13
19
6
(iv)
Class-Interval
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
Frequency
6
3
2
3
17
15
20
(v)
Class-Interval
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
Frequency
7
19
17
18
9
20
5
Question
2
2.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
19 - 26
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
75 - 82
Frequency
8
2
9
12
1
14
19
11
(ii)
Class-Interval
19 - 26
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
75 - 82
Frequency
18
16
8
18
20
8
15
19
(iii)
Class-Interval
19 - 26
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
75 - 82
Frequency
9
7
10
3
3
4
3
8
(iv)
Class-Interval
19 - 26
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
75 - 82
Frequency
10
8
20
10
12
5
20
14
(v)
Class-Interval
19 - 26
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
75 - 82
Frequency
19
20
4
4
9
14
19
7
Question
3
3.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
2
7
10
2
3
10
5
(ii)
Class-Interval
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
7
4
7
18
17
17
17
(iii)
Class-Interval
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
3
8
3
4
8
12
5
(iv)
Class-Interval
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
20
20
17
5
11
3
2
(v)
Class-Interval
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
18
2
11
9
1
5
8
Question
4
4.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
15 - 22
23 - 30
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
Frequency
16
4
1
10
18
2
14
(ii)
Class-Interval
15 - 22
23 - 30
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
Frequency
10
6
7
7
3
4
3
(iii)
Class-Interval
15 - 22
23 - 30
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
Frequency
5
15
1
13
15
5
12
(iv)
Class-Interval
15 - 22
23 - 30
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
Frequency
12
13
19
17
15
13
10
(v)
Class-Interval
15 - 22
23 - 30
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
Frequency
17
3
13
6
18
17
20
Question
5
5.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
Frequency
16
3
7
4
17
19
(ii)
Class-Interval
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
Frequency
9
15
7
8
4
9
(iii)
Class-Interval
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
Frequency
4
9
20
19
2
1
(iv)
Class-Interval
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
Frequency
4
7
12
10
11
4
(v)
Class-Interval
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
Frequency
19
13
18
19
18
13
Question
6
6.
The heights of 54 pupils in a school are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
121 - 126
127 - 132
133 - 138
139 - 144
145 - 150
151 - 156
157 - 162
No. of pupils
12
8
10
3
7
8
11
(ii)
Height (in cm)
121 - 126
127 - 132
133 - 138
139 - 144
145 - 150
151 - 156
157 - 162
No. of pupils
12
5
8
3
7
8
11
(iii)
Height (in cm)
121 - 126
127 - 132
133 - 138
139 - 144
145 - 150
151 - 156
157 - 162
No. of pupils
12
8
5
3
7
8
11
(iv)
Height (in cm)
121 - 126
127 - 132
133 - 138
139 - 144
145 - 150
151 - 156
157 - 162
No. of pupils
12
11
5
3
7
8
8
(v)
Height (in cm)
121 - 126
127 - 132
133 - 138
139 - 144
145 - 150
151 - 156
157 - 162
No. of pupils
12
8
5
6
7
8
11
Question
7
7.
Heights of 58 students (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
125 - 130
130 - 135
135 - 140
140 - 145
145 - 150
No. of students
16
12
10
13
7
(ii)
Height (in cm)
125 - 130
130 - 135
135 - 140
140 - 145
145 - 150
No. of students
16
7
10
13
12
(iii)
Height (in cm)
125 - 130
130 - 135
135 - 140
140 - 145
145 - 150
No. of students
16
10
12
13
7
(iv)
Height (in cm)
125 - 130
130 - 135
135 - 140
140 - 145
145 - 150
No. of students
16
12
5
13
7
(v)
Height (in cm)
125 - 130
130 - 135
135 - 140
140 - 145
145 - 150
No. of students
16
8
10
13
7
Question
8
8.
Heights of 83 students (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
120 - 125
126 - 131
132 - 137
138 - 143
144 - 149
150 - 155
No. of students
18
15
7
13
11
19
(ii)
Height (in cm)
120 - 125
126 - 131
132 - 137
138 - 143
144 - 149
150 - 155
No. of students
18
7
15
13
11
19
(iii)
Height (in cm)
120 - 125
126 - 131
132 - 137
138 - 143
144 - 149
150 - 155
No. of students
18
7
10
13
11
19
(iv)
Height (in cm)
120 - 125
126 - 131
132 - 137
138 - 143
144 - 149
150 - 155
No. of students
18
7
15
18
11
19
(v)
Height (in cm)
120 - 125
126 - 131
132 - 137
138 - 143
144 - 149
150 - 155
No. of students
18
19
15
13
11
7
Question
9
9.
Heights of 74 plants (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
No. of plants
16
19
5
19
15
(ii)
Height (in cm)
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
No. of plants
16
15
5
19
19
(iii)
Height (in cm)
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
No. of plants
16
21
5
19
15
(iv)
Height (in cm)
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
No. of plants
16
19
10
19
15
(v)
Height (in cm)
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
No. of plants
16
5
19
19
15
Question
10
10.
Heights of 64 plants (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
114 - 122
123 - 131
No. of plants
9
6
9
5
12
8
17
(ii)
Height (in cm)
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
114 - 122
123 - 131
No. of plants
9
6
7
5
12
8
17
(iii)
Height (in cm)
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
114 - 122
123 - 131
No. of plants
9
17
7
5
12
8
6
(iv)
Height (in cm)
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
114 - 122
123 - 131
No. of plants
9
7
6
5
12
8
17
(v)
Height (in cm)
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
114 - 122
123 - 131
No. of plants
9
6
7
7
12
8
17
Question
11
11.
Ages of 84 students (in years) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Age (in years)
14 - 21
21 - 28
28 - 35
35 - 42
42 - 49
49 - 56
No. of students
15
12
14
14
20
9
(ii)
Age (in years)
14 - 21
21 - 28
28 - 35
35 - 42
42 - 49
49 - 56
No. of students
15
12
12
14
20
9
(iii)
Age (in years)
14 - 21
21 - 28
28 - 35
35 - 42
42 - 49
49 - 56
No. of students
15
14
12
14
20
9
(iv)
Age (in years)
14 - 21
21 - 28
28 - 35
35 - 42
42 - 49
49 - 56
No. of students
15
12
14
16
20
9
(v)
Age (in years)
14 - 21
21 - 28
28 - 35
35 - 42
42 - 49
49 - 56
No. of students
15
9
14
14
20
12
Question
12
12.
Ages of 76 students (in years) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Age (in years)
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of students
7
11
19
6
15
15
8
(ii)
Age (in years)
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of students
7
11
14
6
15
15
8
(iii)
Age (in years)
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of students
7
11
14
3
15
15
8
(iv)
Age (in years)
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of students
7
8
14
6
15
15
11
(v)
Age (in years)
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
No. of students
7
14
11
6
15
15
8
Question
13
13.
Scores of 90 students are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Score
83 - 89
89 - 95
95 - 101
101 - 107
107 - 113
113 - 119
119 - 125
125 - 131
No. of students
13
11
6
8
16
13
16
7
(ii)
Score
83 - 89
89 - 95
95 - 101
101 - 107
107 - 113
113 - 119
119 - 125
125 - 131
No. of students
13
11
8
6
16
13
16
7
(iii)
Score
83 - 89
89 - 95
95 - 101
101 - 107
107 - 113
113 - 119
119 - 125
125 - 131
No. of students
13
11
8
6
21
13
16
7
(iv)
Score
83 - 89
89 - 95
95 - 101
101 - 107
107 - 113
113 - 119
119 - 125
125 - 131
No. of students
13
11
11
6
16
13
16
7
(v)
Score
83 - 89
89 - 95
95 - 101
101 - 107
107 - 113
113 - 119
119 - 125
125 - 131
No. of students
13
7
8
6
16
13
16
11
Question
14
14.
Temperatures of 91 days (in °C) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Temperature (in degree)
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
No. of days
19
21
20
18
18
(ii)
Temperature (in degree)
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
No. of days
19
20
16
18
18
(iii)
Temperature (in degree)
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
No. of days
19
16
16
18
18
(iv)
Temperature (in degree)
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
No. of days
19
18
20
18
16
(v)
Temperature (in degree)
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
No. of days
19
16
20
18
18
Question
15
15.
Temperatures of 73 days (in °C) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Temperature (in degree)
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
No. of days
7
15
14
8
6
5
6
12
(ii)
Temperature (in degree)
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
No. of days
7
15
8
14
3
5
6
12
(iii)
Temperature (in degree)
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
No. of days
7
15
8
14
6
5
6
12
(iv)
Temperature (in degree)
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
No. of days
7
12
8
14
6
5
6
15
(v)
Temperature (in degree)
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
No. of days
7
15
5
14
6
5
6
12
Question
16
16.
Weights of 73 students (in kg) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Weight (in kg)
46 - 53
53 - 60
60 - 67
67 - 74
74 - 81
81 - 88
88 - 95
No. of students
10
18
5
12
7
5
13
(ii)
Weight (in kg)
46 - 53
53 - 60
60 - 67
67 - 74
74 - 81
81 - 88
88 - 95
No. of students
10
18
8
12
7
5
13
(iii)
Weight (in kg)
46 - 53
53 - 60
60 - 67
67 - 74
74 - 81
81 - 88
88 - 95
No. of students
10
13
8
12
7
5
18
(iv)
Weight (in kg)
46 - 53
53 - 60
60 - 67
67 - 74
74 - 81
81 - 88
88 - 95
No. of students
10
8
18
12
7
5
13
(v)
Weight (in kg)
46 - 53
53 - 60
60 - 67
67 - 74
74 - 81
81 - 88
88 - 95
No. of students
10
18
8
17
7
5
13
Question
17
17.
Weights of 54 students (in kg) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Weight (in kg)
52 - 60
61 - 69
70 - 78
79 - 87
88 - 96
No. of students
6
18
5
5
18
(ii)
Weight (in kg)
52 - 60
61 - 69
70 - 78
79 - 87
88 - 96
No. of students
6
23
7
5
18
(iii)
Weight (in kg)
52 - 60
61 - 69
70 - 78
79 - 87
88 - 96
No. of students
6
18
7
5
18
(iv)
Weight (in kg)
52 - 60
61 - 69
70 - 78
79 - 87
88 - 96
No. of students
6
7
18
5
18
Question
18
18.
Rainfall of 65 days (in mm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Rainfall (in mm)
13 - 20
20 - 27
27 - 34
34 - 41
41 - 48
No. of days
14
19
11
6
15
(ii)
Rainfall (in mm)
13 - 20
20 - 27
27 - 34
34 - 41
41 - 48
No. of days
14
15
19
6
15
(iii)
Rainfall (in mm)
13 - 20
20 - 27
27 - 34
34 - 41
41 - 48
No. of days
14
15
19
6
11
(iv)
Rainfall (in mm)
13 - 20
20 - 27
27 - 34
34 - 41
41 - 48
No. of days
14
11
19
6
15
(v)
Rainfall (in mm)
13 - 20
20 - 27
27 - 34
34 - 41
41 - 48
No. of days
14
11
14
6
15
Question
19
19.
Rainfall of 86 days (in mm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Rainfall (in mm)
10 - 17
18 - 25
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
No. of days
8
20
8
10
8
13
19
(ii)
Rainfall (in mm)
10 - 17
18 - 25
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
No. of days
8
8
22
10
8
13
19
(iii)
Rainfall (in mm)
10 - 17
18 - 25
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
No. of days
8
19
20
10
8
13
8
(iv)
Rainfall (in mm)
10 - 17
18 - 25
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
No. of days
8
8
20
15
8
13
19
(v)
Rainfall (in mm)
10 - 17
18 - 25
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
No. of days
8
8
20
10
8
13
19
Question
20
20.
Daily wages of 79 labourers (in ₹) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Daily wage (in Rs)
227 - 233
233 - 239
239 - 245
245 - 251
251 - 257
257 - 263
263 - 269
No. of labourers
9
19
15
6
6
6
14
(ii)
Daily wage (in Rs)
227 - 233
233 - 239
239 - 245
245 - 251
251 - 257
257 - 263
263 - 269
No. of labourers
9
19
19
6
6
6
14
(iii)
Daily wage (in Rs)
227 - 233
233 - 239
239 - 245
245 - 251
251 - 257
257 - 263
263 - 269
No. of labourers
9
14
19
6
6
6
19
(iv)
Daily wage (in Rs)
227 - 233
233 - 239
239 - 245
245 - 251
251 - 257
257 - 263
263 - 269
No. of labourers
9
19
19
2
6
6
14
Question
21
21.
Daily wages of 100 labourers (in ₹) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Daily wage (in Rs)
253 - 261
262 - 270
271 - 279
280 - 288
289 - 297
298 - 306
307 - 315
316 - 324
No. of labourers
9
13
17
12
20
17
5
7
(ii)
Daily wage (in Rs)
253 - 261
262 - 270
271 - 279
280 - 288
289 - 297
298 - 306
307 - 315
316 - 324
No. of labourers
9
13
22
12
20
17
5
7
(iii)
Daily wage (in Rs)
253 - 261
262 - 270
271 - 279
280 - 288
289 - 297
298 - 306
307 - 315
316 - 324
No. of labourers
9
13
17
12
15
17
5
7
(iv)
Daily wage (in Rs)
253 - 261
262 - 270
271 - 279
280 - 288
289 - 297
298 - 306
307 - 315
316 - 324
No. of labourers
9
13
12
17
20
17
5
7
(v)
Daily wage (in Rs)
253 - 261
262 - 270
271 - 279
280 - 288
289 - 297
298 - 306
307 - 315
316 - 324
No. of labourers
9
7
17
12
20
17
5
13
Question
22
22.
The heights of 49 pupils in a school are given below. Identify the frequency distribution table for the given less than ogive.
(i)
Height (in cm)
less than 135
less than 142
less than 149
less than 156
less than 163
less than 170
No. of pupils
3
15
27
35
41
53
(ii)
Height (in cm)
less than 135
less than 142
less than 149
less than 156
less than 163
less than 170
No. of pupils
3
11
23
31
37
49
(iii)
Height (in cm)
less than 135
less than 142
less than 149
less than 156
less than 163
less than 170
No. of pupils
3
15
23
27
33
45
(iv)
Height (in cm)
less than 135
less than 142
less than 149
less than 156
less than 163
less than 170
No. of pupils
3
15
23
31
37
49
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 120
less than 140
less than 160
less than 180
No. of workers
10
18
28
35
(ii)
Daily income (in Rs)
less than 120
less than 140
less than 160
less than 180
No. of workers
7
15
25
35
(iii)
Daily income (in Rs)
less than 120
less than 140
less than 160
less than 180
No. of workers
7
15
21
31
(iv)
Daily income (in Rs)
less than 120
less than 140
less than 160
less than 180
No. of workers
7
11
21
31
(v)
Daily income (in Rs)
less than 120
less than 140
less than 160
less than 180
No. of workers
7
17
25
35
Question
24
24.
The marks obtained by 39 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 30
less than 40
less than 50
less than 60
less than 70
No. of students
5
15
24
31
39
(ii)
Marks
less than 30
less than 40
less than 50
less than 60
less than 70
No. of students
5
13
23
30
39
(iii)
Marks
less than 30
less than 40
less than 50
less than 60
less than 70
No. of students
5
10
20
27
35
(iv)
Marks
less than 30
less than 40
less than 50
less than 60
less than 70
No. of students
5
14
19
26
34
(v)
Marks
less than 30
less than 40
less than 50
less than 60
less than 70
No. of students
5
14
24
31
39
Question
25
25.
The production yield in kg per hectare of wheat of 33 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
22
31
(ii)
Production yield (in kg/ha)
less than 62
less than 69
less than 76
less than 83
Number of farms
9
19
25
33
(iii)
Production yield (in kg/ha)
less than 62
less than 69
less than 76
less than 83
Number of farms
8
14
24
33
(iv)
Production yield (in kg/ha)
less than 62
less than 69
less than 76
less than 83
Number of farms
8
18
24
33
(v)
Production yield (in kg/ha)
less than 62
less than 69
less than 76
less than 83
Number of farms
8
18
19
28
Assignment Key
1) (ii)
2) (iii)
3) (iii)
4) (ii)
5) (iv)
6) (iii)
7) (i)
8) (ii)
9) (i)
10) (ii)
11) (i)
12) (ii)
13) (ii)
14) (v)
15) (iii)
16) (ii)
17) (iii)
18) (iv)
19) (v)
20) (ii)
21) (i)
22) (iv)
23) (ii)
24) (v)
25) (iv)