EduSahara™ Assignment
Name : Cumulative Frequency
Chapter : Graphical Representation of Statistical Data
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
33 - 38
10
39 - 44
18
45 - 50
31
51 - 56
40
57 - 62
45
63 - 68
57
69 - 74
66
75 - 80
73
(i)
Class-Interval
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
75 - 80
Frequency
10
8
13
9
9
12
9
7
(ii)
Class-Interval
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
75 - 80
Frequency
10
8
13
9
5
12
9
7
(iii)
Class-Interval
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
75 - 80
Frequency
10
8
15
9
5
12
9
7
(iv)
Class-Interval
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
75 - 80
Frequency
10
8
9
13
5
12
9
7
(v)
Class-Interval
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
75 - 80
Frequency
10
7
13
9
5
12
9
8
Question
2
2.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
29 - 38
14
38 - 47
29
47 - 56
36
56 - 65
46
65 - 74
53
74 - 83
66
83 - 92
72
92 - 101
85
(i)
Class-Interval
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
74 - 83
83 - 92
92 - 101
Frequency
14
15
7
10
7
13
6
13
(ii)
Class-Interval
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
74 - 83
83 - 92
92 - 101
Frequency
14
13
7
10
7
13
6
15
(iii)
Class-Interval
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
74 - 83
83 - 92
92 - 101
Frequency
14
15
7
10
11
13
6
13
(iv)
Class-Interval
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
74 - 83
83 - 92
92 - 101
Frequency
14
15
10
7
7
13
6
13
(v)
Class-Interval
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
74 - 83
83 - 92
92 - 101
Frequency
14
15
10
10
7
13
6
13
Question
3
3.
Following are the ages (in years) of patients getting medical treatment in a hospital. Identify the cumulative frequency of the given grouped data.
Age (in years)
10 - 15
16 - 21
22 - 27
28 - 33
No. of Patients
66
17
49
50
(i)
Age (in years)
Cumulative Frequency
10 - 15
66
16 - 21
83
22 - 27
132
28 - 33
182
(ii)
Age (in years)
Cumulative Frequency
10 - 15
66
16 - 21
115
22 - 27
132
28 - 33
182
(iii)
Age (in years)
Cumulative Frequency
10 - 15
66
16 - 21
83
22 - 27
128
28 - 33
178
(iv)
Age (in years)
Cumulative Frequency
10 - 15
50
16 - 21
67
22 - 27
116
28 - 33
182
(v)
Age (in years)
Cumulative Frequency
10 - 15
66
16 - 21
80
22 - 27
129
28 - 33
179
Question
4
4.
Following are the ages (in years) of patients getting medical treatment in a hospital. Identify the cumulative frequency of the given grouped data.
Age (in years)
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of Patients
90
56
87
88
43
(i)
Age (in years)
Cumulative Frequency
10 - 15
90
15 - 20
146
20 - 25
233
25 - 30
321
30 - 35
364
(ii)
Age (in years)
Cumulative Frequency
10 - 15
90
15 - 20
143
20 - 25
230
25 - 30
318
30 - 35
361
(iii)
Age (in years)
Cumulative Frequency
10 - 15
90
15 - 20
146
20 - 25
231
25 - 30
319
30 - 35
362
(iv)
Age (in years)
Cumulative Frequency
10 - 15
90
15 - 20
177
20 - 25
233
25 - 30
321
30 - 35
364
(v)
Age (in years)
Cumulative Frequency
10 - 15
90
15 - 20
133
20 - 25
220
25 - 30
308
30 - 35
364
Question
5
5.
Following are the daily wages (in rupees) of labourers working in a factory. Identify the cumulative frequency of the given grouped data.
Wages (in rupees)
300 - 340
341 - 381
382 - 422
423 - 463
464 - 504
505 - 545
Labourers
3
2
5
18
12
2
(i)
Wages (in rupees)
Cumulative Frequency
300 - 340
3
341 - 381
8
382 - 422
10
423 - 463
28
464 - 504
40
505 - 545
42
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 340
3
341 - 381
5
382 - 422
13
423 - 463
31
464 - 504
43
505 - 545
45
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 340
3
341 - 381
5
382 - 422
10
423 - 463
28
464 - 504
40
505 - 545
42
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 340
3
341 - 381
5
382 - 422
10
423 - 463
26
464 - 504
38
505 - 545
40
Question
6
6.
Following are the daily wages (in rupees) of labourers working in a factory. Identify the cumulative frequency of the given grouped data.
Wages (in rupees)
300 - 330
330 - 360
360 - 390
390 - 420
420 - 450
450 - 480
Labourers
15
6
3
14
7
17
(i)
Wages (in rupees)
Cumulative Frequency
300 - 330
15
330 - 360
21
360 - 390
27
390 - 420
41
420 - 450
48
450 - 480
65
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 330
15
330 - 360
21
360 - 390
24
390 - 420
38
420 - 450
45
450 - 480
62
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 330
15
330 - 360
21
360 - 390
24
390 - 420
42
420 - 450
49
450 - 480
66
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 330
15
330 - 360
18
360 - 390
24
390 - 420
38
420 - 450
45
450 - 480
62
(v)
Wages (in rupees)
Cumulative Frequency
300 - 330
15
330 - 360
32
360 - 390
35
390 - 420
49
420 - 450
56
450 - 480
62
Question
7
7.
Identify the cumulative frequency of the given grouped data.
class interval
33 - 42
43 - 52
53 - 62
63 - 72
73 - 82
frequency
13
13
6
16
24
(i)
class interval
Cumulative Frequency
33 - 42
13
43 - 52
19
53 - 62
32
63 - 72
48
73 - 82
72
(ii)
class interval
Cumulative Frequency
33 - 42
13
43 - 52
37
53 - 62
43
63 - 72
59
73 - 82
72
(iii)
class interval
Cumulative Frequency
33 - 42
13
43 - 52
26
53 - 62
28
63 - 72
44
73 - 82
68
(iv)
class interval
Cumulative Frequency
33 - 42
13
43 - 52
30
53 - 62
36
63 - 72
52
73 - 82
76
(v)
class interval
Cumulative Frequency
33 - 42
13
43 - 52
26
53 - 62
32
63 - 72
48
73 - 82
72
Question
8
8.
Identify the cumulative frequency of the given grouped data.
class interval
29 - 39
39 - 49
49 - 59
59 - 69
69 - 79
79 - 89
89 - 99
frequency
17
5
9
25
14
21
22
(i)
class interval
Cumulative Frequency
29 - 39
17
39 - 49
39
49 - 59
48
59 - 69
73
69 - 79
87
79 - 89
108
89 - 99
113
(ii)
class interval
Cumulative Frequency
29 - 39
17
39 - 49
22
49 - 59
31
59 - 69
58
69 - 79
72
79 - 89
93
89 - 99
115
(iii)
class interval
Cumulative Frequency
29 - 39
17
39 - 49
22
49 - 59
33
59 - 69
58
69 - 79
72
79 - 89
93
89 - 99
115
(iv)
class interval
Cumulative Frequency
29 - 39
17
39 - 49
22
49 - 59
31
59 - 69
56
69 - 79
70
79 - 89
91
89 - 99
113
(v)
class interval
Cumulative Frequency
29 - 39
17
39 - 49
26
49 - 59
31
59 - 69
56
69 - 79
70
79 - 89
91
89 - 99
113
Question
9
9.
Find the cumulative frequency of class
53
-
60
.
Class-Interval
45 - 52
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
93 - 100
Frequency
8
24
16
17
8
23
17
(i)
29
(ii)
33
(iii)
34
(iv)
31
(v)
32
Question
10
10.
Find the cumulative frequency of class
88
-
98
.
Class-Interval
38 - 48
48 - 58
58 - 68
68 - 78
78 - 88
88 - 98
Frequency
18
24
12
11
20
19
(i)
104
(ii)
103
(iii)
105
(iv)
106
(v)
102
Question
11
11.
During the medical check-up of 38 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is less than 49 kg
Class-Interval
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
Frequency
8
7
6
10
7
(i)
24
(ii)
22
(iii)
18
(iv)
21
(v)
20
Question
12
12.
During the medical check-up of 65 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is more than 64 kg
Class-Interval
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
100 - 109
Frequency
7
12
8
5
12
7
9
5
(i)
35
(ii)
39
(iii)
41
(iv)
38
(v)
37
Assignment Key
1) (ii)
2) (i)
3) (i)
4) (i)
5) (iii)
6) (ii)
7) (v)
8) (iv)
9) (v)
10) (i)
11) (iv)
12) (iv)
