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 - 22
22 - 32
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
Frequency
5
15
1
10
20
9
5
7
(ii)
Class-Interval
12 - 22
22 - 32
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
Frequency
9
13
16
2
13
18
6
4
(iii)
Class-Interval
12 - 22
22 - 32
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
Frequency
18
15
15
7
20
17
7
10
(iv)
Class-Interval
12 - 22
22 - 32
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
Frequency
8
15
10
8
9
13
13
11
(v)
Class-Interval
12 - 22
22 - 32
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
Frequency
3
15
14
11
19
18
2
8
Question
2
2.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
12 - 19
20 - 27
28 - 35
36 - 43
44 - 51
Frequency
12
4
15
12
20
(ii)
Class-Interval
12 - 19
20 - 27
28 - 35
36 - 43
44 - 51
Frequency
4
8
9
15
6
(iii)
Class-Interval
12 - 19
20 - 27
28 - 35
36 - 43
44 - 51
Frequency
1
1
16
15
14
(iv)
Class-Interval
12 - 19
20 - 27
28 - 35
36 - 43
44 - 51
Frequency
17
6
2
2
4
(v)
Class-Interval
12 - 19
20 - 27
28 - 35
36 - 43
44 - 51
Frequency
8
11
8
11
8
Question
3
3.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
13 - 21
21 - 29
29 - 37
37 - 45
45 - 53
Frequency
12
20
3
16
19
(ii)
Class-Interval
13 - 21
21 - 29
29 - 37
37 - 45
45 - 53
Frequency
3
2
11
19
20
(iii)
Class-Interval
13 - 21
21 - 29
29 - 37
37 - 45
45 - 53
Frequency
11
13
2
15
16
(iv)
Class-Interval
13 - 21
21 - 29
29 - 37
37 - 45
45 - 53
Frequency
16
6
7
8
18
(v)
Class-Interval
13 - 21
21 - 29
29 - 37
37 - 45
45 - 53
Frequency
9
8
8
4
6
Question
4
4.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
15 - 25
26 - 36
37 - 47
48 - 58
59 - 69
Frequency
8
9
17
19
1
(ii)
Class-Interval
15 - 25
26 - 36
37 - 47
48 - 58
59 - 69
Frequency
5
5
5
19
18
(iii)
Class-Interval
15 - 25
26 - 36
37 - 47
48 - 58
59 - 69
Frequency
6
7
10
17
11
(iv)
Class-Interval
15 - 25
26 - 36
37 - 47
48 - 58
59 - 69
Frequency
11
3
6
18
8
(v)
Class-Interval
15 - 25
26 - 36
37 - 47
48 - 58
59 - 69
Frequency
9
11
11
8
6
Question
5
5.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
11 - 19
19 - 27
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
Frequency
5
7
5
3
5
6
8
(ii)
Class-Interval
11 - 19
19 - 27
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
Frequency
19
13
7
6
9
3
3
(iii)
Class-Interval
11 - 19
19 - 27
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
Frequency
7
20
10
15
9
20
15
(iv)
Class-Interval
11 - 19
19 - 27
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
Frequency
20
14
6
14
20
8
16
(v)
Class-Interval
11 - 19
19 - 27
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
Frequency
19
9
5
8
17
15
10
Question
6
6.
The heights of 47 pupils in a school are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
127 - 136
137 - 146
147 - 156
157 - 166
167 - 176
177 - 186
No. of pupils
5
4
10
12
10
6
(ii)
Height (in cm)
127 - 136
137 - 146
147 - 156
157 - 166
167 - 176
177 - 186
No. of pupils
5
4
13
12
10
6
(iii)
Height (in cm)
127 - 136
137 - 146
147 - 156
157 - 166
167 - 176
177 - 186
No. of pupils
5
4
10
8
10
6
(iv)
Height (in cm)
127 - 136
137 - 146
147 - 156
157 - 166
167 - 176
177 - 186
No. of pupils
5
10
4
12
10
6
(v)
Height (in cm)
127 - 136
137 - 146
147 - 156
157 - 166
167 - 176
177 - 186
No. of pupils
5
6
10
12
10
4
Question
7
7.
Heights of 105 students (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
122 - 130
130 - 138
138 - 146
146 - 154
154 - 162
162 - 170
170 - 178
178 - 186
No. of students
8
13
10
14
12
19
13
16
(ii)
Height (in cm)
122 - 130
130 - 138
138 - 146
146 - 154
154 - 162
162 - 170
170 - 178
178 - 186
No. of students
8
13
14
10
12
19
13
16
(iii)
Height (in cm)
122 - 130
130 - 138
138 - 146
146 - 154
154 - 162
162 - 170
170 - 178
178 - 186
No. of students
8
13
12
14
12
19
13
16
(iv)
Height (in cm)
122 - 130
130 - 138
138 - 146
146 - 154
154 - 162
162 - 170
170 - 178
178 - 186
No. of students
8
16
10
14
12
19
13
13
(v)
Height (in cm)
122 - 130
130 - 138
138 - 146
146 - 154
154 - 162
162 - 170
170 - 178
178 - 186
No. of students
8
13
10
14
8
19
13
16
Question
8
8.
Heights of 79 students (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
129 - 137
138 - 146
147 - 155
156 - 164
165 - 173
174 - 182
183 - 191
No. of students
16
15
8
4
9
10
13
(ii)
Height (in cm)
129 - 137
138 - 146
147 - 155
156 - 164
165 - 173
174 - 182
183 - 191
No. of students
16
8
15
8
9
10
13
(iii)
Height (in cm)
129 - 137
138 - 146
147 - 155
156 - 164
165 - 173
174 - 182
183 - 191
No. of students
16
13
8
8
9
10
15
(iv)
Height (in cm)
129 - 137
138 - 146
147 - 155
156 - 164
165 - 173
174 - 182
183 - 191
No. of students
16
15
11
8
9
10
13
(v)
Height (in cm)
129 - 137
138 - 146
147 - 155
156 - 164
165 - 173
174 - 182
183 - 191
No. of students
16
15
8
8
9
10
13
Question
9
9.
Heights of 118 plants (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
53 - 60
60 - 67
67 - 74
74 - 81
81 - 88
88 - 95
95 - 102
102 - 109
No. of plants
8
19
17
10
12
20
18
16
(ii)
Height (in cm)
53 - 60
60 - 67
67 - 74
74 - 81
81 - 88
88 - 95
95 - 102
102 - 109
No. of plants
8
19
21
10
10
20
18
16
(iii)
Height (in cm)
53 - 60
60 - 67
67 - 74
74 - 81
81 - 88
88 - 95
95 - 102
102 - 109
No. of plants
8
16
17
10
10
20
18
19
(iv)
Height (in cm)
53 - 60
60 - 67
67 - 74
74 - 81
81 - 88
88 - 95
95 - 102
102 - 109
No. of plants
8
19
17
10
10
20
18
16
(v)
Height (in cm)
53 - 60
60 - 67
67 - 74
74 - 81
81 - 88
88 - 95
95 - 102
102 - 109
No. of plants
8
19
10
17
10
20
18
16
Question
10
10.
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 - 71
72 - 80
81 - 89
90 - 98
99 - 107
No. of plants
20
15
12
15
10
(ii)
Height (in cm)
63 - 71
72 - 80
81 - 89
90 - 98
99 - 107
No. of plants
20
15
15
15
10
(iii)
Height (in cm)
63 - 71
72 - 80
81 - 89
90 - 98
99 - 107
No. of plants
20
12
15
15
10
(iv)
Height (in cm)
63 - 71
72 - 80
81 - 89
90 - 98
99 - 107
No. of plants
20
10
12
15
10
(v)
Height (in cm)
63 - 71
72 - 80
81 - 89
90 - 98
99 - 107
No. of plants
20
10
12
15
15
Question
11
11.
Ages of 74 students (in years) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Age (in years)
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
No. of students
15
5
2
18
13
16
(ii)
Age (in years)
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
No. of students
15
5
7
22
13
16
(iii)
Age (in years)
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
No. of students
15
7
5
18
13
16
(iv)
Age (in years)
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
No. of students
15
16
7
18
13
5
(v)
Age (in years)
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
No. of students
15
5
7
18
13
16
Question
12
12.
Ages of 78 students (in years) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Age (in years)
15 - 22
23 - 30
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
No. of students
9
20
11
14
5
5
14
(ii)
Age (in years)
15 - 22
23 - 30
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
No. of students
9
11
20
14
5
5
14
(iii)
Age (in years)
15 - 22
23 - 30
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
No. of students
9
14
20
14
5
5
11
(iv)
Age (in years)
15 - 22
23 - 30
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
No. of students
9
11
23
14
5
5
14
(v)
Age (in years)
15 - 22
23 - 30
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
No. of students
9
11
20
18
5
5
14
Question
13
13.
Scores of 56 students are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Score
76 - 84
84 - 92
92 - 100
100 - 108
108 - 116
No. of students
8
9
18
5
16
(ii)
Score
76 - 84
84 - 92
92 - 100
100 - 108
108 - 116
No. of students
8
18
16
5
9
(iii)
Score
76 - 84
84 - 92
92 - 100
100 - 108
108 - 116
No. of students
8
19
18
5
9
(iv)
Score
76 - 84
84 - 92
92 - 100
100 - 108
108 - 116
No. of students
8
16
21
5
9
(v)
Score
76 - 84
84 - 92
92 - 100
100 - 108
108 - 116
No. of students
8
16
18
5
9
Question
14
14.
Temperatures of 90 days (in °C) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Temperature (in degree)
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
No. of days
17
9
8
21
15
15
8
(ii)
Temperature (in degree)
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
No. of days
17
9
12
18
15
15
8
(iii)
Temperature (in degree)
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
No. of days
17
9
8
18
15
15
8
(iv)
Temperature (in degree)
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
No. of days
17
8
8
18
15
15
9
(v)
Temperature (in degree)
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
No. of days
17
8
9
18
15
15
8
Question
15
15.
Temperatures of 100 days (in °C) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Temperature (in degree)
32 - 39
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
80 - 87
88 - 95
No. of days
5
17
15
6
13
18
7
19
(ii)
Temperature (in degree)
32 - 39
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
80 - 87
88 - 95
No. of days
5
17
8
15
13
18
7
19
(iii)
Temperature (in degree)
32 - 39
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
80 - 87
88 - 95
No. of days
5
19
6
15
13
18
7
17
(iv)
Temperature (in degree)
32 - 39
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
80 - 87
88 - 95
No. of days
5
17
6
15
15
18
7
19
(v)
Temperature (in degree)
32 - 39
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
80 - 87
88 - 95
No. of days
5
17
6
15
13
18
7
19
Question
16
16.
Weights of 86 students (in kg) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Weight (in kg)
59 - 66
66 - 73
73 - 80
80 - 87
87 - 94
94 - 101
No. of students
18
17
14
17
11
9
(ii)
Weight (in kg)
59 - 66
66 - 73
73 - 80
80 - 87
87 - 94
94 - 101
No. of students
18
9
17
17
11
14
(iii)
Weight (in kg)
59 - 66
66 - 73
73 - 80
80 - 87
87 - 94
94 - 101
No. of students
18
14
17
17
11
9
(iv)
Weight (in kg)
59 - 66
66 - 73
73 - 80
80 - 87
87 - 94
94 - 101
No. of students
18
14
17
14
11
9
(v)
Weight (in kg)
59 - 66
66 - 73
73 - 80
80 - 87
87 - 94
94 - 101
No. of students
18
14
12
17
11
9
Question
17
17.
Weights of 49 students (in kg) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Weight (in kg)
41 - 47
48 - 54
55 - 61
62 - 68
69 - 75
No. of students
7
5
16
8
13
(ii)
Weight (in kg)
41 - 47
48 - 54
55 - 61
62 - 68
69 - 75
No. of students
7
10
16
8
5
(iii)
Weight (in kg)
41 - 47
48 - 54
55 - 61
62 - 68
69 - 75
No. of students
7
13
16
8
5
(iv)
Weight (in kg)
41 - 47
48 - 54
55 - 61
62 - 68
69 - 75
No. of students
7
13
11
8
5
(v)
Weight (in kg)
41 - 47
48 - 54
55 - 61
62 - 68
69 - 75
No. of students
7
16
13
8
5
Question
18
18.
Rainfall of 57 days (in mm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Rainfall (in mm)
15 - 23
23 - 31
31 - 39
39 - 47
47 - 55
No. of days
15
7
7
8
20
(ii)
Rainfall (in mm)
15 - 23
23 - 31
31 - 39
39 - 47
47 - 55
No. of days
15
4
7
8
20
(iii)
Rainfall (in mm)
15 - 23
23 - 31
31 - 39
39 - 47
47 - 55
No. of days
15
7
9
8
20
(iv)
Rainfall (in mm)
15 - 23
23 - 31
31 - 39
39 - 47
47 - 55
No. of days
15
20
7
8
7
Question
19
19.
Rainfall of 82 days (in mm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Rainfall (in mm)
8 - 15
16 - 23
24 - 31
32 - 39
40 - 47
48 - 55
56 - 63
No. of days
14
6
10
19
8
7
14
(ii)
Rainfall (in mm)
8 - 15
16 - 23
24 - 31
32 - 39
40 - 47
48 - 55
56 - 63
No. of days
14
6
14
17
8
7
14
(iii)
Rainfall (in mm)
8 - 15
16 - 23
24 - 31
32 - 39
40 - 47
48 - 55
56 - 63
No. of days
14
6
14
19
8
7
14
(iv)
Rainfall (in mm)
8 - 15
16 - 23
24 - 31
32 - 39
40 - 47
48 - 55
56 - 63
No. of days
14
14
6
19
8
7
14
(v)
Rainfall (in mm)
8 - 15
16 - 23
24 - 31
32 - 39
40 - 47
48 - 55
56 - 63
No. of days
14
14
14
19
8
7
6
Question
20
20.
Daily wages of 44 labourers (in ₹) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Daily wage (in Rs)
240 - 249
249 - 258
258 - 267
267 - 276
276 - 285
No. of labourers
9
18
5
5
7
(ii)
Daily wage (in Rs)
240 - 249
249 - 258
258 - 267
267 - 276
276 - 285
No. of labourers
9
7
18
5
5
(iii)
Daily wage (in Rs)
240 - 249
249 - 258
258 - 267
267 - 276
276 - 285
No. of labourers
9
5
18
5
7
(iv)
Daily wage (in Rs)
240 - 249
249 - 258
258 - 267
267 - 276
276 - 285
No. of labourers
9
1
18
5
7
(v)
Daily wage (in Rs)
240 - 249
249 - 258
258 - 267
267 - 276
276 - 285
No. of labourers
9
5
13
5
7
Question
21
21.
Daily wages of 67 labourers (in ₹) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Daily wage (in Rs)
268 - 278
279 - 289
290 - 300
301 - 311
312 - 322
No. of labourers
8
19
10
16
14
(ii)
Daily wage (in Rs)
268 - 278
279 - 289
290 - 300
301 - 311
312 - 322
No. of labourers
8
10
19
16
14
(iii)
Daily wage (in Rs)
268 - 278
279 - 289
290 - 300
301 - 311
312 - 322
No. of labourers
8
14
19
16
10
(iv)
Daily wage (in Rs)
268 - 278
279 - 289
290 - 300
301 - 311
312 - 322
No. of labourers
8
7
19
16
14
(v)
Daily wage (in Rs)
268 - 278
279 - 289
290 - 300
301 - 311
312 - 322
No. of labourers
8
10
14
16
14
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 132
less than 138
less than 144
less than 150
No. of pupils
4
11
21
33
(ii)
Height (in cm)
less than 132
less than 138
less than 144
less than 150
No. of pupils
4
12
19
31
(iii)
Height (in cm)
less than 132
less than 138
less than 144
less than 150
No. of pupils
4
8
16
28
(iv)
Height (in cm)
less than 132
less than 138
less than 144
less than 150
No. of pupils
12
19
27
31
(v)
Height (in cm)
less than 132
less than 138
less than 144
less than 150
No. of pupils
4
11
19
31
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
10
18
19
25
30
(ii)
Daily income (in Rs)
less than 110
less than 120
less than 130
less than 140
less than 150
No. of workers
10
21
27
33
38
(iii)
Daily income (in Rs)
less than 110
less than 120
less than 130
less than 140
less than 150
No. of workers
10
15
21
27
35
(iv)
Daily income (in Rs)
less than 110
less than 120
less than 130
less than 140
less than 150
No. of workers
10
16
24
30
35
(v)
Daily income (in Rs)
less than 110
less than 120
less than 130
less than 140
less than 150
No. of workers
10
18
24
30
35
Question
24
24.
The marks obtained by 31 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 25
less than 35
less than 45
less than 55
less than 65
No. of students
6
15
21
27
35
(ii)
Marks
less than 25
less than 35
less than 45
less than 55
less than 65
No. of students
6
11
19
25
33
(iii)
Marks
less than 25
less than 35
less than 45
less than 55
less than 65
No. of students
6
14
20
26
31
(iv)
Marks
less than 25
less than 35
less than 45
less than 55
less than 65
No. of students
6
12
17
23
31
(v)
Marks
less than 25
less than 35
less than 45
less than 55
less than 65
No. of students
6
11
17
23
31
Question
25
25.
The production yield in kg per hectare of wheat of 40 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 75
less than 85
less than 95
less than 105
less than 115
Number of farms
9
17
30
38
45
(ii)
Production yield (in kg/ha)
less than 75
less than 85
less than 95
less than 105
less than 115
Number of farms
9
16
24
32
40
(iii)
Production yield (in kg/ha)
less than 75
less than 85
less than 95
less than 105
less than 115
Number of farms
9
17
25
33
40
(iv)
Production yield (in kg/ha)
less than 75
less than 85
less than 95
less than 105
less than 115
Number of farms
9
22
30
38
45
Assignment Key
1) (iv)
2) (v)
3) (v)
4) (v)
5) (i)
6) (i)
7) (i)
8) (v)
9) (iv)
10) (i)
11) (v)
12) (ii)
13) (v)
14) (iii)
15) (v)
16) (iii)
17) (iii)
18) (i)
19) (iii)
20) (iii)
21) (ii)
22) (v)
23) (v)
24) (v)
25) (iii)