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 - 29
13
30 - 35
29
36 - 41
45
42 - 47
52
48 - 53
64
(i)
Class-Interval
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
Frequency
13
16
16
7
12
(ii)
Class-Interval
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
Frequency
13
12
16
7
16
(iii)
Class-Interval
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
Frequency
13
16
13
7
12
(iv)
Class-Interval
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
Frequency
13
13
16
7
12
Question
2
2.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
12 - 16
8
16 - 20
24
20 - 24
37
24 - 28
43
28 - 32
59
32 - 36
73
(i)
Class-Interval
12 - 16
16 - 20
20 - 24
24 - 28
28 - 32
32 - 36
Frequency
8
16
13
6
16
14
(ii)
Class-Interval
12 - 16
16 - 20
20 - 24
24 - 28
28 - 32
32 - 36
Frequency
8
14
13
6
16
16
(iii)
Class-Interval
12 - 16
16 - 20
20 - 24
24 - 28
28 - 32
32 - 36
Frequency
8
16
8
6
16
14
(iv)
Class-Interval
12 - 16
16 - 20
20 - 24
24 - 28
28 - 32
32 - 36
Frequency
8
16
13
10
16
14
(v)
Class-Interval
12 - 16
16 - 20
20 - 24
24 - 28
28 - 32
32 - 36
Frequency
8
13
16
6
16
14
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)
20 - 30
31 - 41
42 - 52
53 - 63
No. of Patients
46
18
70
21
(i)
Age (in years)
Cumulative Frequency
20 - 30
46
31 - 41
67
42 - 52
137
53 - 63
158
(ii)
Age (in years)
Cumulative Frequency
20 - 30
46
31 - 41
116
42 - 52
134
53 - 63
155
(iii)
Age (in years)
Cumulative Frequency
20 - 30
46
31 - 41
64
42 - 52
130
53 - 63
151
(iv)
Age (in years)
Cumulative Frequency
20 - 30
46
31 - 41
64
42 - 52
134
53 - 63
155
(v)
Age (in years)
Cumulative Frequency
20 - 30
21
31 - 41
39
42 - 52
109
53 - 63
155
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)
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
No. of Patients
89
44
75
44
20
59
(i)
Age (in years)
Cumulative Frequency
20 - 25
89
25 - 30
133
30 - 35
208
35 - 40
252
40 - 45
272
45 - 50
331
(ii)
Age (in years)
Cumulative Frequency
20 - 25
89
25 - 30
164
30 - 35
208
35 - 40
252
40 - 45
272
45 - 50
331
(iii)
Age (in years)
Cumulative Frequency
20 - 25
89
25 - 30
148
30 - 35
223
35 - 40
267
40 - 45
287
45 - 50
331
(iv)
Age (in years)
Cumulative Frequency
20 - 25
89
25 - 30
133
30 - 35
208
35 - 40
247
40 - 45
267
45 - 50
326
(v)
Age (in years)
Cumulative Frequency
20 - 25
89
25 - 30
133
30 - 35
206
35 - 40
250
40 - 45
270
45 - 50
329
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)
200 - 240
241 - 281
282 - 322
323 - 363
364 - 404
405 - 445
Labourers
17
8
2
2
12
11
(i)
Wages (in rupees)
Cumulative Frequency
200 - 240
17
241 - 281
25
282 - 322
27
323 - 363
29
364 - 404
41
405 - 445
52
(ii)
Wages (in rupees)
Cumulative Frequency
200 - 240
17
241 - 281
25
282 - 322
27
323 - 363
32
364 - 404
44
405 - 445
55
(iii)
Wages (in rupees)
Cumulative Frequency
200 - 240
17
241 - 281
19
282 - 322
27
323 - 363
29
364 - 404
41
405 - 445
52
(iv)
Wages (in rupees)
Cumulative Frequency
200 - 240
17
241 - 281
25
282 - 322
29
323 - 363
31
364 - 404
43
405 - 445
54
(v)
Wages (in rupees)
Cumulative Frequency
200 - 240
17
241 - 281
28
282 - 322
30
323 - 363
32
364 - 404
44
405 - 445
52
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
18
11
19
18
3
4
(i)
Wages (in rupees)
Cumulative Frequency
300 - 330
18
330 - 360
29
360 - 390
48
390 - 420
66
420 - 450
69
450 - 480
73
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 330
18
330 - 360
29
360 - 390
48
390 - 420
64
420 - 450
67
450 - 480
71
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 330
18
330 - 360
29
360 - 390
44
390 - 420
62
420 - 450
65
450 - 480
69
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 330
18
330 - 360
22
360 - 390
41
390 - 420
59
420 - 450
62
450 - 480
73
(v)
Wages (in rupees)
Cumulative Frequency
300 - 330
18
330 - 360
37
360 - 390
48
390 - 420
66
420 - 450
69
450 - 480
73
Question
7
7.
Identify the cumulative frequency of the given grouped data.
class interval
21 - 31
32 - 42
43 - 53
54 - 64
65 - 75
76 - 86
frequency
8
22
6
9
25
25
(i)
class interval
Cumulative Frequency
21 - 31
8
32 - 42
30
43 - 53
36
54 - 64
45
65 - 75
70
76 - 86
95
(ii)
class interval
Cumulative Frequency
21 - 31
8
32 - 42
33
43 - 53
39
54 - 64
48
65 - 75
73
76 - 86
95
(iii)
class interval
Cumulative Frequency
21 - 31
8
32 - 42
30
43 - 53
36
54 - 64
48
65 - 75
73
76 - 86
98
(iv)
class interval
Cumulative Frequency
21 - 31
8
32 - 42
30
43 - 53
40
54 - 64
49
65 - 75
74
76 - 86
99
(v)
class interval
Cumulative Frequency
21 - 31
8
32 - 42
14
43 - 53
36
54 - 64
45
65 - 75
70
76 - 86
95
Question
8
8.
Identify the cumulative frequency of the given grouped data.
class interval
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
74 - 83
frequency
10
23
18
9
5
20
(i)
class interval
Cumulative Frequency
29 - 38
10
38 - 47
33
47 - 56
53
56 - 65
62
65 - 74
67
74 - 83
87
(ii)
class interval
Cumulative Frequency
29 - 38
10
38 - 47
30
47 - 56
48
56 - 65
57
65 - 74
62
74 - 83
85
(iii)
class interval
Cumulative Frequency
29 - 38
10
38 - 47
33
47 - 56
51
56 - 65
60
65 - 74
65
74 - 83
85
(iv)
class interval
Cumulative Frequency
29 - 38
10
38 - 47
28
47 - 56
51
56 - 65
60
65 - 74
65
74 - 83
85
(v)
class interval
Cumulative Frequency
29 - 38
10
38 - 47
33
47 - 56
51
56 - 65
63
65 - 74
68
74 - 83
88
Question
9
9.
Find the cumulative frequency of class
50
-
56
.
Class-Interval
29 - 35
36 - 42
43 - 49
50 - 56
57 - 63
Frequency
16
7
19
20
24
(i)
63
(ii)
62
(iii)
61
(iv)
65
(v)
59
Question
10
10.
Find the cumulative frequency of class
80
-
88
.
Class-Interval
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
Frequency
14
13
25
6
17
(i)
74
(ii)
78
(iii)
72
(iv)
75
(v)
76
Question
11
11.
During the medical check-up of 40 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is less than 65 kg
Class-Interval
35 - 45
45 - 55
55 - 65
65 - 75
75 - 85
Frequency
10
5
6
8
11
(i)
20
(ii)
18
(iii)
22
(iv)
24
(v)
21
Question
12
12.
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 more than 57 kg
Class-Interval
36 - 43
43 - 50
50 - 57
57 - 64
Frequency
9
7
11
11
(i)
10
(ii)
12
(iii)
13
(iv)
8
(v)
11
Assignment Key
1) (i)
2) (i)
3) (iv)
4) (i)
5) (i)
6) (i)
7) (i)
8) (iii)
9) (ii)
10) (iv)
11) (v)
12) (v)
