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
14 - 24
24 - 34
34 - 44
44 - 54
54 - 64
64 - 74
74 - 84
Frequency
15
14
5
14
20
10
17
(ii)
Class-Interval
14 - 24
24 - 34
34 - 44
44 - 54
54 - 64
64 - 74
74 - 84
Frequency
19
19
6
8
17
11
19
(iii)
Class-Interval
14 - 24
24 - 34
34 - 44
44 - 54
54 - 64
64 - 74
74 - 84
Frequency
12
7
11
14
2
20
3
(iv)
Class-Interval
14 - 24
24 - 34
34 - 44
44 - 54
54 - 64
64 - 74
74 - 84
Frequency
7
19
11
13
19
15
9
(v)
Class-Interval
14 - 24
24 - 34
34 - 44
44 - 54
54 - 64
64 - 74
74 - 84
Frequency
14
10
13
6
17
15
11
Question
2
2.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
13 - 18
19 - 24
25 - 30
31 - 36
37 - 42
Frequency
1
18
8
13
15
(ii)
Class-Interval
13 - 18
19 - 24
25 - 30
31 - 36
37 - 42
Frequency
17
16
11
5
18
(iii)
Class-Interval
13 - 18
19 - 24
25 - 30
31 - 36
37 - 42
Frequency
8
5
5
3
3
(iv)
Class-Interval
13 - 18
19 - 24
25 - 30
31 - 36
37 - 42
Frequency
3
14
7
19
4
(v)
Class-Interval
13 - 18
19 - 24
25 - 30
31 - 36
37 - 42
Frequency
9
1
17
3
6
Question
3
3.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
Frequency
8
15
2
10
8
(ii)
Class-Interval
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
Frequency
20
20
11
16
16
(iii)
Class-Interval
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
Frequency
12
4
19
1
5
(iv)
Class-Interval
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
Frequency
13
20
13
13
9
(v)
Class-Interval
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
Frequency
7
5
10
4
9
Question
4
4.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
54 - 59
Frequency
9
7
12
5
12
11
7
10
(ii)
Class-Interval
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
54 - 59
Frequency
12
18
4
13
9
12
8
8
(iii)
Class-Interval
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
54 - 59
Frequency
7
6
6
18
8
13
13
12
(iv)
Class-Interval
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
54 - 59
Frequency
18
7
10
17
8
16
17
8
(v)
Class-Interval
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
54 - 59
Frequency
1
18
19
13
14
6
7
7
Question
5
5.
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
68 - 75
Frequency
16
5
13
3
10
7
14
13
(ii)
Class-Interval
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
Frequency
2
8
12
13
11
9
8
3
(iii)
Class-Interval
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
Frequency
18
3
10
19
9
4
5
10
(iv)
Class-Interval
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
Frequency
9
19
10
8
8
9
10
5
(v)
Class-Interval
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
Frequency
3
4
10
10
12
7
7
9
Question
6
6.
The heights of 35 pupils in a school are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
129 - 135
136 - 142
143 - 149
150 - 156
157 - 163
164 - 170
No. of pupils
4
8
3
10
9
3
(ii)
Height (in cm)
129 - 135
136 - 142
143 - 149
150 - 156
157 - 163
164 - 170
No. of pupils
4
8
3
8
9
3
(iii)
Height (in cm)
129 - 135
136 - 142
143 - 149
150 - 156
157 - 163
164 - 170
No. of pupils
4
3
3
8
9
8
(iv)
Height (in cm)
129 - 135
136 - 142
143 - 149
150 - 156
157 - 163
164 - 170
No. of pupils
4
3
8
8
9
3
(v)
Height (in cm)
129 - 135
136 - 142
143 - 149
150 - 156
157 - 163
164 - 170
No. of pupils
4
8
6
8
9
3
Question
7
7.
Heights of 73 students (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
121 - 128
128 - 135
135 - 142
142 - 149
149 - 156
156 - 163
No. of students
10
9
6
10
19
19
(ii)
Height (in cm)
121 - 128
128 - 135
135 - 142
142 - 149
149 - 156
156 - 163
No. of students
10
19
6
10
19
9
(iii)
Height (in cm)
121 - 128
128 - 135
135 - 142
142 - 149
149 - 156
156 - 163
No. of students
10
6
9
10
19
19
(iv)
Height (in cm)
121 - 128
128 - 135
135 - 142
142 - 149
149 - 156
156 - 163
No. of students
10
9
6
6
19
19
(v)
Height (in cm)
121 - 128
128 - 135
135 - 142
142 - 149
149 - 156
156 - 163
No. of students
10
9
8
10
19
19
Question
8
8.
Heights of 52 students (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
128 - 136
137 - 145
146 - 154
155 - 163
164 - 172
No. of students
15
7
8
8
14
(ii)
Height (in cm)
128 - 136
137 - 145
146 - 154
155 - 163
164 - 172
No. of students
15
11
8
8
7
(iii)
Height (in cm)
128 - 136
137 - 145
146 - 154
155 - 163
164 - 172
No. of students
15
14
4
8
7
(iv)
Height (in cm)
128 - 136
137 - 145
146 - 154
155 - 163
164 - 172
No. of students
15
14
8
8
7
(v)
Height (in cm)
128 - 136
137 - 145
146 - 154
155 - 163
164 - 172
No. of students
15
8
14
8
7
Question
9
9.
Heights of 106 plants (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
120 - 130
130 - 140
No. of plants
11
19
18
20
18
7
13
(ii)
Height (in cm)
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
120 - 130
130 - 140
No. of plants
11
19
14
20
18
7
13
(iii)
Height (in cm)
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
120 - 130
130 - 140
No. of plants
11
19
18
22
18
7
13
(iv)
Height (in cm)
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
120 - 130
130 - 140
No. of plants
11
13
18
20
18
7
19
(v)
Height (in cm)
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
120 - 130
130 - 140
No. of plants
11
18
19
20
18
7
13
Question
10
10.
Heights of 93 plants (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
56 - 65
66 - 75
76 - 85
86 - 95
96 - 105
106 - 115
116 - 125
126 - 135
No. of plants
10
13
6
13
18
15
12
6
(ii)
Height (in cm)
56 - 65
66 - 75
76 - 85
86 - 95
96 - 105
106 - 115
116 - 125
126 - 135
No. of plants
10
6
3
13
18
15
12
13
(iii)
Height (in cm)
56 - 65
66 - 75
76 - 85
86 - 95
96 - 105
106 - 115
116 - 125
126 - 135
No. of plants
10
6
6
13
18
15
12
13
(iv)
Height (in cm)
56 - 65
66 - 75
76 - 85
86 - 95
96 - 105
106 - 115
116 - 125
126 - 135
No. of plants
10
6
13
6
18
15
12
13
(v)
Height (in cm)
56 - 65
66 - 75
76 - 85
86 - 95
96 - 105
106 - 115
116 - 125
126 - 135
No. of plants
10
6
6
13
21
15
12
13
Question
11
11.
Ages of 60 students (in years) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Age (in years)
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
No. of students
16
8
9
14
5
8
(ii)
Age (in years)
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
No. of students
16
9
8
14
5
8
(iii)
Age (in years)
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
No. of students
16
8
12
14
5
8
(iv)
Age (in years)
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
No. of students
16
8
9
11
5
8
Question
12
12.
Ages of 63 students (in years) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Age (in years)
18 - 28
29 - 39
40 - 50
51 - 61
62 - 72
73 - 83
No. of students
9
7
6
14
14
13
(ii)
Age (in years)
18 - 28
29 - 39
40 - 50
51 - 61
62 - 72
73 - 83
No. of students
9
13
9
14
14
7
(iii)
Age (in years)
18 - 28
29 - 39
40 - 50
51 - 61
62 - 72
73 - 83
No. of students
9
6
13
14
14
7
(iv)
Age (in years)
18 - 28
29 - 39
40 - 50
51 - 61
62 - 72
73 - 83
No. of students
9
13
6
9
14
7
(v)
Age (in years)
18 - 28
29 - 39
40 - 50
51 - 61
62 - 72
73 - 83
No. of students
9
13
6
14
14
7
Question
13
13.
Scores of 56 students are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Score
89 - 95
95 - 101
101 - 107
107 - 113
113 - 119
119 - 125
No. of students
8
5
9
12
8
14
(ii)
Score
89 - 95
95 - 101
101 - 107
107 - 113
113 - 119
119 - 125
No. of students
8
14
9
12
8
5
(iii)
Score
89 - 95
95 - 101
101 - 107
107 - 113
113 - 119
119 - 125
No. of students
8
9
14
12
8
5
(iv)
Score
89 - 95
95 - 101
101 - 107
107 - 113
113 - 119
119 - 125
No. of students
8
14
9
9
8
5
(v)
Score
89 - 95
95 - 101
101 - 107
107 - 113
113 - 119
119 - 125
No. of students
8
14
6
12
8
5
Question
14
14.
Temperatures of 100 days (in °C) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Temperature (in degree)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
69 - 74
No. of days
8
19
20
11
19
17
5
6
(ii)
Temperature (in degree)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
69 - 74
No. of days
8
19
25
11
14
17
5
6
(iii)
Temperature (in degree)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
69 - 74
No. of days
8
19
20
11
14
17
5
6
(iv)
Temperature (in degree)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
69 - 74
No. of days
8
6
20
11
14
17
5
19
(v)
Temperature (in degree)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
69 - 74
No. of days
8
19
11
20
14
17
5
6
Question
15
15.
Temperatures of 61 days (in °C) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Temperature (in degree)
27 - 35
36 - 44
45 - 53
54 - 62
63 - 71
72 - 80
No. of days
16
13
6
9
11
6
(ii)
Temperature (in degree)
27 - 35
36 - 44
45 - 53
54 - 62
63 - 71
72 - 80
No. of days
16
6
13
9
11
6
(iii)
Temperature (in degree)
27 - 35
36 - 44
45 - 53
54 - 62
63 - 71
72 - 80
No. of days
16
6
6
9
11
13
(iv)
Temperature (in degree)
27 - 35
36 - 44
45 - 53
54 - 62
63 - 71
72 - 80
No. of days
16
13
11
9
11
6
(v)
Temperature (in degree)
27 - 35
36 - 44
45 - 53
54 - 62
63 - 71
72 - 80
No. of days
16
13
6
7
11
6
Question
16
16.
Weights of 75 students (in kg) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Weight (in kg)
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
No. of students
11
10
6
18
20
14
(ii)
Weight (in kg)
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
No. of students
11
10
6
14
20
14
(iii)
Weight (in kg)
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
No. of students
11
14
6
14
20
10
(iv)
Weight (in kg)
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
No. of students
11
6
10
14
20
14
(v)
Weight (in kg)
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
No. of students
11
10
8
14
20
14
Question
17
17.
Weights of 119 students (in kg) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Weight (in kg)
55 - 60
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
91 - 96
97 - 102
No. of students
8
13
9
17
15
19
18
20
(ii)
Weight (in kg)
55 - 60
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
91 - 96
97 - 102
No. of students
8
13
9
17
18
19
18
20
(iii)
Weight (in kg)
55 - 60
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
91 - 96
97 - 102
No. of students
8
20
9
17
15
19
18
13
(iv)
Weight (in kg)
55 - 60
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
91 - 96
97 - 102
No. of students
8
13
5
17
15
19
18
20
(v)
Weight (in kg)
55 - 60
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
91 - 96
97 - 102
No. of students
8
13
17
9
15
19
18
20
Question
18
18.
Rainfall of 75 days (in mm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Rainfall (in mm)
5 - 12
12 - 19
19 - 26
26 - 33
33 - 40
No. of days
17
17
8
20
18
(ii)
Rainfall (in mm)
5 - 12
12 - 19
19 - 26
26 - 33
33 - 40
No. of days
17
12
8
20
18
(iii)
Rainfall (in mm)
5 - 12
12 - 19
19 - 26
26 - 33
33 - 40
No. of days
17
18
8
20
12
(iv)
Rainfall (in mm)
5 - 12
12 - 19
19 - 26
26 - 33
33 - 40
No. of days
17
8
12
20
18
(v)
Rainfall (in mm)
5 - 12
12 - 19
19 - 26
26 - 33
33 - 40
No. of days
17
12
10
20
18
Question
19
19.
Rainfall of 58 days (in mm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Rainfall (in mm)
12 - 21
22 - 31
32 - 41
42 - 51
52 - 61
No. of days
10
7
12
17
12
(ii)
Rainfall (in mm)
12 - 21
22 - 31
32 - 41
42 - 51
52 - 61
No. of days
10
10
12
17
12
(iii)
Rainfall (in mm)
12 - 21
22 - 31
32 - 41
42 - 51
52 - 61
No. of days
10
12
12
17
7
(iv)
Rainfall (in mm)
12 - 21
22 - 31
32 - 41
42 - 51
52 - 61
No. of days
10
12
7
17
12
(v)
Rainfall (in mm)
12 - 21
22 - 31
32 - 41
42 - 51
52 - 61
No. of days
10
7
7
17
12
Question
20
20.
Daily wages of 113 labourers (in ₹) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Daily wage (in Rs)
274 - 280
280 - 286
286 - 292
292 - 298
298 - 304
304 - 310
310 - 316
316 - 322
No. of labourers
14
9
19
7
12
20
20
10
(ii)
Daily wage (in Rs)
274 - 280
280 - 286
286 - 292
292 - 298
298 - 304
304 - 310
310 - 316
316 - 322
No. of labourers
14
10
19
7
14
20
20
9
(iii)
Daily wage (in Rs)
274 - 280
280 - 286
286 - 292
292 - 298
298 - 304
304 - 310
310 - 316
316 - 322
No. of labourers
14
9
19
7
14
20
20
10
(iv)
Daily wage (in Rs)
274 - 280
280 - 286
286 - 292
292 - 298
298 - 304
304 - 310
310 - 316
316 - 322
No. of labourers
14
9
22
7
14
20
20
10
(v)
Daily wage (in Rs)
274 - 280
280 - 286
286 - 292
292 - 298
298 - 304
304 - 310
310 - 316
316 - 322
No. of labourers
14
9
7
19
14
20
20
10
Question
21
21.
Daily wages of 58 labourers (in ₹) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Daily wage (in Rs)
218 - 228
229 - 239
240 - 250
251 - 261
262 - 272
273 - 283
No. of labourers
5
5
11
6
18
13
(ii)
Daily wage (in Rs)
218 - 228
229 - 239
240 - 250
251 - 261
262 - 272
273 - 283
No. of labourers
5
13
5
6
18
11
(iii)
Daily wage (in Rs)
218 - 228
229 - 239
240 - 250
251 - 261
262 - 272
273 - 283
No. of labourers
5
11
2
6
18
13
(iv)
Daily wage (in Rs)
218 - 228
229 - 239
240 - 250
251 - 261
262 - 272
273 - 283
No. of labourers
5
11
5
6
18
13
(v)
Daily wage (in Rs)
218 - 228
229 - 239
240 - 250
251 - 261
262 - 272
273 - 283
No. of labourers
5
11
5
8
18
13
Question
22
22.
The heights of 33 pupils in a school are given below. Identify the frequency distribution table for the given less than ogive.
(i)
Height (in cm)
less than 133
less than 141
less than 149
less than 157
No. of pupils
9
15
24
33
(ii)
Height (in cm)
less than 133
less than 141
less than 149
less than 157
No. of pupils
9
18
24
33
(iii)
Height (in cm)
less than 133
less than 141
less than 149
less than 157
No. of pupils
9
16
22
31
(iv)
Height (in cm)
less than 133
less than 141
less than 149
less than 157
No. of pupils
9
18
21
30
Question
23
23.
The daily income of 45 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 220
less than 240
less than 260
less than 280
less than 300
less than 320
No. of workers
5
14
22
30
38
47
(ii)
Daily income (in Rs)
less than 220
less than 240
less than 260
less than 280
less than 300
less than 320
No. of workers
5
13
22
28
36
45
(iii)
Daily income (in Rs)
less than 220
less than 240
less than 260
less than 280
less than 300
less than 320
No. of workers
5
14
24
30
38
47
(iv)
Daily income (in Rs)
less than 220
less than 240
less than 260
less than 280
less than 300
less than 320
No. of workers
5
14
22
28
36
45
Question
24
24.
The marks obtained by 57 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 30
less than 35
less than 40
less than 45
less than 50
less than 55
No. of students
10
16
25
35
40
48
57
(ii)
Marks
less than 25
less than 30
less than 35
less than 40
less than 45
less than 50
less than 55
No. of students
10
16
22
32
37
45
54
(iii)
Marks
less than 25
less than 30
less than 35
less than 40
less than 45
less than 50
less than 55
No. of students
10
19
28
38
43
51
57
(iv)
Marks
less than 25
less than 30
less than 35
less than 40
less than 45
less than 50
less than 55
No. of students
10
16
25
38
43
51
60
(v)
Marks
less than 25
less than 30
less than 35
less than 40
less than 45
less than 50
less than 55
No. of students
10
19
25
35
40
48
57
Question
25
25.
The production yield in kg per hectare of wheat of 34 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 65
less than 70
less than 75
less than 80
less than 85
Number of farms
8
13
18
25
34
(ii)
Production yield (in kg/ha)
less than 65
less than 70
less than 75
less than 80
less than 85
Number of farms
8
15
20
27
32
(iii)
Production yield (in kg/ha)
less than 65
less than 70
less than 75
less than 80
less than 85
Number of farms
8
17
20
27
32
(iv)
Production yield (in kg/ha)
less than 65
less than 70
less than 75
less than 80
less than 85
Number of farms
8
13
22
29
34
(v)
Production yield (in kg/ha)
less than 65
less than 70
less than 75
less than 80
less than 85
Number of farms
8
17
22
29
34
Assignment Key
1) (iii)
2) (iii)
3) (v)
4) (i)
5) (v)
6) (ii)
7) (i)
8) (iv)
9) (i)
10) (iii)
11) (i)
12) (v)
13) (ii)
14) (iii)
15) (i)
16) (ii)
17) (i)
18) (ii)
19) (i)
20) (iii)
21) (iv)
22) (ii)
23) (iv)
24) (i)
25) (v)