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
24 - 32
14
33 - 41
20
42 - 50
27
51 - 59
32
60 - 68
48
69 - 77
62
(i)
Class-Interval
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
69 - 77
Frequency
14
6
7
1
16
14
(ii)
Class-Interval
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
69 - 77
Frequency
14
14
7
5
16
6
(iii)
Class-Interval
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
69 - 77
Frequency
14
6
7
5
16
14
(iv)
Class-Interval
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
69 - 77
Frequency
14
6
12
5
16
14
(v)
Class-Interval
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
69 - 77
Frequency
14
7
6
5
16
14
Question
2
2.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
25 - 29
8
29 - 33
16
33 - 37
25
37 - 41
36
41 - 45
48
45 - 49
59
49 - 53
72
(i)
Class-Interval
25 - 29
29 - 33
33 - 37
37 - 41
41 - 45
45 - 49
49 - 53
Frequency
8
8
9
11
12
11
13
(ii)
Class-Interval
25 - 29
29 - 33
33 - 37
37 - 41
41 - 45
45 - 49
49 - 53
Frequency
8
8
9
7
12
11
13
(iii)
Class-Interval
25 - 29
29 - 33
33 - 37
37 - 41
41 - 45
45 - 49
49 - 53
Frequency
8
8
4
11
12
11
13
(iv)
Class-Interval
25 - 29
29 - 33
33 - 37
37 - 41
41 - 45
45 - 49
49 - 53
Frequency
8
13
9
11
12
11
8
(v)
Class-Interval
25 - 29
29 - 33
33 - 37
37 - 41
41 - 45
45 - 49
49 - 53
Frequency
8
9
8
11
12
11
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 - 20
21 - 31
32 - 42
43 - 53
No. of Patients
31
44
71
29
(i)
Age (in years)
Cumulative Frequency
10 - 20
29
21 - 31
73
32 - 42
144
43 - 53
175
(ii)
Age (in years)
Cumulative Frequency
10 - 20
31
21 - 31
70
32 - 42
141
43 - 53
170
(iii)
Age (in years)
Cumulative Frequency
10 - 20
31
21 - 31
102
32 - 42
146
43 - 53
175
(iv)
Age (in years)
Cumulative Frequency
10 - 20
31
21 - 31
75
32 - 42
146
43 - 53
175
(v)
Age (in years)
Cumulative Frequency
10 - 20
31
21 - 31
75
32 - 42
151
43 - 53
180
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 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
No. of Patients
32
68
62
46
45
11
30
71
(i)
Age (in years)
Cumulative Frequency
10 - 20
32
20 - 30
103
30 - 40
165
40 - 50
211
50 - 60
256
60 - 70
267
70 - 80
297
80 - 90
365
(ii)
Age (in years)
Cumulative Frequency
10 - 20
32
20 - 30
100
30 - 40
160
40 - 50
206
50 - 60
251
60 - 70
262
70 - 80
292
80 - 90
363
(iii)
Age (in years)
Cumulative Frequency
10 - 20
32
20 - 30
100
30 - 40
162
40 - 50
208
50 - 60
253
60 - 70
264
70 - 80
294
80 - 90
365
(iv)
Age (in years)
Cumulative Frequency
10 - 20
32
20 - 30
100
30 - 40
162
40 - 50
208
50 - 60
251
60 - 70
262
70 - 80
292
80 - 90
363
(v)
Age (in years)
Cumulative Frequency
10 - 20
32
20 - 30
100
30 - 40
146
40 - 50
208
50 - 60
253
60 - 70
264
70 - 80
294
80 - 90
365
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 - 320
321 - 341
342 - 362
363 - 383
384 - 404
405 - 425
Labourers
11
8
13
16
1
10
(i)
Wages (in rupees)
Cumulative Frequency
300 - 320
11
321 - 341
19
342 - 362
27
363 - 383
43
384 - 404
44
405 - 425
54
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 320
11
321 - 341
21
342 - 362
34
363 - 383
50
384 - 404
51
405 - 425
59
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 320
11
321 - 341
19
342 - 362
32
363 - 383
48
384 - 404
49
405 - 425
59
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 320
11
321 - 341
19
342 - 362
32
363 - 383
50
384 - 404
51
405 - 425
61
(v)
Wages (in rupees)
Cumulative Frequency
300 - 320
11
321 - 341
24
342 - 362
32
363 - 383
48
384 - 404
49
405 - 425
59
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 - 340
340 - 380
380 - 420
420 - 460
460 - 500
500 - 540
Labourers
11
7
11
5
14
16
(i)
Wages (in rupees)
Cumulative Frequency
300 - 340
11
340 - 380
18
380 - 420
31
420 - 460
36
460 - 500
50
500 - 540
66
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 340
11
340 - 380
27
380 - 420
38
420 - 460
43
460 - 500
57
500 - 540
64
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 340
11
340 - 380
18
380 - 420
29
420 - 460
39
460 - 500
53
500 - 540
69
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 340
11
340 - 380
22
380 - 420
29
420 - 460
34
460 - 500
48
500 - 540
64
(v)
Wages (in rupees)
Cumulative Frequency
300 - 340
11
340 - 380
18
380 - 420
29
420 - 460
34
460 - 500
48
500 - 540
64
Question
7
7.
Identify the cumulative frequency of the given grouped data.
class interval
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
frequency
8
13
8
13
17
20
8
(i)
class interval
Cumulative Frequency
35 - 40
8
41 - 46
21
47 - 52
33
53 - 58
46
59 - 64
63
65 - 70
83
71 - 76
91
(ii)
class interval
Cumulative Frequency
35 - 40
8
41 - 46
16
47 - 52
24
53 - 58
37
59 - 64
54
65 - 70
74
71 - 76
87
(iii)
class interval
Cumulative Frequency
35 - 40
8
41 - 46
21
47 - 52
29
53 - 58
42
59 - 64
59
65 - 70
79
71 - 76
87
(iv)
class interval
Cumulative Frequency
35 - 40
8
41 - 46
16
47 - 52
29
53 - 58
42
59 - 64
59
65 - 70
79
71 - 76
87
(v)
class interval
Cumulative Frequency
35 - 40
8
41 - 46
21
47 - 52
29
53 - 58
44
59 - 64
61
65 - 70
81
71 - 76
89
Question
8
8.
Identify the cumulative frequency of the given grouped data.
class interval
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
93 - 102
102 - 111
frequency
17
19
10
21
9
6
17
(i)
class interval
Cumulative Frequency
48 - 57
17
57 - 66
36
66 - 75
46
75 - 84
67
84 - 93
76
93 - 102
82
102 - 111
99
(ii)
class interval
Cumulative Frequency
48 - 57
17
57 - 66
36
66 - 75
46
75 - 84
65
84 - 93
74
93 - 102
80
102 - 111
97
(iii)
class interval
Cumulative Frequency
48 - 57
17
57 - 66
27
66 - 75
46
75 - 84
67
84 - 93
76
93 - 102
82
102 - 111
99
(iv)
class interval
Cumulative Frequency
48 - 57
17
57 - 66
36
66 - 75
51
75 - 84
72
84 - 93
81
93 - 102
87
102 - 111
104
(v)
class interval
Cumulative Frequency
48 - 57
17
57 - 66
34
66 - 75
44
75 - 84
65
84 - 93
74
93 - 102
80
102 - 111
99
Question
9
9.
Find the cumulative frequency of class
47
-
56
.
Class-Interval
27 - 36
37 - 46
47 - 56
57 - 66
67 - 76
77 - 86
87 - 96
97 - 106
Frequency
10
12
19
17
10
20
23
14
(i)
39
(ii)
42
(iii)
40
(iv)
43
(v)
41
Question
10
10.
Find the cumulative frequency of class
46
-
51
.
Class-Interval
41 - 46
46 - 51
51 - 56
56 - 61
Frequency
13
21
11
16
(i)
32
(ii)
35
(iii)
34
(iv)
36
(v)
33
Question
11
11.
During the medical check-up of 33 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is less than 46 kg
Class-Interval
31 - 36
36 - 41
41 - 46
46 - 51
Frequency
11
9
8
5
(i)
26
(ii)
27
(iii)
31
(iv)
28
(v)
29
Question
12
12.
During the medical check-up of 26 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is more than 35 kg
Class-Interval
30 - 35
35 - 40
40 - 45
45 - 50
Frequency
5
9
5
7
(i)
19
(ii)
20
(iii)
22
(iv)
21
(v)
24
Assignment Key
1) (iii)
2) (i)
3) (iv)
4) (iii)
5) (iii)
6) (v)
7) (iii)
8) (i)
9) (v)
10) (iii)
11) (iv)
12) (iv)
