EduSahara™ Assignment
Name : Cumulative Frequency Distribution
Chapter : Frequency Distribution
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
31 - 35
5
36 - 40
15
41 - 45
28
46 - 50
37
51 - 55
44
56 - 60
54
(i)
Class-Interval
31 - 35
36 - 40
41 - 45
46 - 50
51 - 55
56 - 60
Frequency
5
13
10
9
7
10
(ii)
Class-Interval
31 - 35
36 - 40
41 - 45
46 - 50
51 - 55
56 - 60
Frequency
5
10
13
9
7
10
(iii)
Class-Interval
31 - 35
36 - 40
41 - 45
46 - 50
51 - 55
56 - 60
Frequency
5
10
8
9
7
10
(iv)
Class-Interval
31 - 35
36 - 40
41 - 45
46 - 50
51 - 55
56 - 60
Frequency
5
10
13
11
7
10
Question
2
2.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
38 - 44
13
44 - 50
29
50 - 56
42
56 - 62
51
62 - 68
60
68 - 74
74
74 - 80
86
(i)
Class-Interval
38 - 44
44 - 50
50 - 56
56 - 62
62 - 68
68 - 74
74 - 80
Frequency
13
16
13
11
9
14
12
(ii)
Class-Interval
38 - 44
44 - 50
50 - 56
56 - 62
62 - 68
68 - 74
74 - 80
Frequency
13
13
16
9
9
14
12
(iii)
Class-Interval
38 - 44
44 - 50
50 - 56
56 - 62
62 - 68
68 - 74
74 - 80
Frequency
13
12
13
9
9
14
16
(iv)
Class-Interval
38 - 44
44 - 50
50 - 56
56 - 62
62 - 68
68 - 74
74 - 80
Frequency
13
16
13
9
9
14
12
(v)
Class-Interval
38 - 44
44 - 50
50 - 56
56 - 62
62 - 68
68 - 74
74 - 80
Frequency
13
16
10
9
9
14
12
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 - 25
26 - 31
32 - 37
38 - 43
44 - 49
No. of Patients
50
43
24
67
54
(i)
Age (in years)
Cumulative Frequency
20 - 25
50
26 - 31
88
32 - 37
112
38 - 43
179
44 - 49
233
(ii)
Age (in years)
Cumulative Frequency
20 - 25
50
26 - 31
93
32 - 37
120
38 - 43
187
44 - 49
241
(iii)
Age (in years)
Cumulative Frequency
20 - 25
50
26 - 31
74
32 - 37
117
38 - 43
184
44 - 49
238
(iv)
Age (in years)
Cumulative Frequency
20 - 25
50
26 - 31
93
32 - 37
117
38 - 43
184
44 - 49
238
(v)
Age (in years)
Cumulative Frequency
20 - 25
50
26 - 31
104
32 - 37
128
38 - 43
195
44 - 49
238
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
No. of Patients
84
63
68
72
(i)
Age (in years)
Cumulative Frequency
10 - 15
84
15 - 20
147
20 - 25
210
25 - 30
282
(ii)
Age (in years)
Cumulative Frequency
10 - 15
84
15 - 20
147
20 - 25
215
25 - 30
287
(iii)
Age (in years)
Cumulative Frequency
10 - 15
84
15 - 20
150
20 - 25
218
25 - 30
290
(iv)
Age (in years)
Cumulative Frequency
10 - 15
72
15 - 20
135
20 - 25
203
25 - 30
287
(v)
Age (in years)
Cumulative Frequency
10 - 15
84
15 - 20
152
20 - 25
215
25 - 30
287
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
14
5
11
8
16
(i)
Wages (in rupees)
Cumulative Frequency
200 - 240
17
241 - 281
33
282 - 322
38
323 - 363
49
364 - 404
57
405 - 445
71
(ii)
Wages (in rupees)
Cumulative Frequency
200 - 240
17
241 - 281
31
282 - 322
40
323 - 363
51
364 - 404
59
405 - 445
75
(iii)
Wages (in rupees)
Cumulative Frequency
200 - 240
17
241 - 281
31
282 - 322
36
323 - 363
47
364 - 404
55
405 - 445
71
(iv)
Wages (in rupees)
Cumulative Frequency
200 - 240
17
241 - 281
31
282 - 322
36
323 - 363
51
364 - 404
59
405 - 445
75
(v)
Wages (in rupees)
Cumulative Frequency
200 - 240
17
241 - 281
22
282 - 322
36
323 - 363
47
364 - 404
55
405 - 445
71
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
13
8
7
17
11
3
(i)
Wages (in rupees)
Cumulative Frequency
300 - 330
13
330 - 360
21
360 - 390
28
390 - 420
49
420 - 450
60
450 - 480
63
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 330
13
330 - 360
21
360 - 390
28
390 - 420
45
420 - 450
56
450 - 480
59
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 330
13
330 - 360
21
360 - 390
30
390 - 420
47
420 - 450
58
450 - 480
61
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 330
13
330 - 360
20
360 - 390
28
390 - 420
45
420 - 450
56
450 - 480
59
(v)
Wages (in rupees)
Cumulative Frequency
300 - 330
13
330 - 360
16
360 - 390
23
390 - 420
40
420 - 450
51
450 - 480
59
Question
7
7.
Identify the cumulative frequency of the given grouped data.
class interval
41 - 50
51 - 60
61 - 70
71 - 80
frequency
9
23
12
19
(i)
class interval
Cumulative Frequency
41 - 50
9
51 - 60
32
61 - 70
47
71 - 80
66
(ii)
class interval
Cumulative Frequency
41 - 50
9
51 - 60
37
61 - 70
49
71 - 80
68
(iii)
class interval
Cumulative Frequency
41 - 50
19
51 - 60
42
61 - 70
54
71 - 80
63
(iv)
class interval
Cumulative Frequency
41 - 50
9
51 - 60
21
61 - 70
44
71 - 80
63
(v)
class interval
Cumulative Frequency
41 - 50
9
51 - 60
32
61 - 70
44
71 - 80
63
Question
8
8.
Identify the cumulative frequency of the given grouped data.
class interval
13 - 19
19 - 25
25 - 31
31 - 37
37 - 43
43 - 49
49 - 55
frequency
22
22
5
9
6
14
14
(i)
class interval
Cumulative Frequency
13 - 19
22
19 - 25
44
25 - 31
46
31 - 37
55
37 - 43
61
43 - 49
75
49 - 55
89
(ii)
class interval
Cumulative Frequency
13 - 19
22
19 - 25
44
25 - 31
49
31 - 37
58
37 - 43
64
43 - 49
78
49 - 55
92
(iii)
class interval
Cumulative Frequency
13 - 19
22
19 - 25
36
25 - 31
41
31 - 37
50
37 - 43
56
43 - 49
70
49 - 55
92
(iv)
class interval
Cumulative Frequency
13 - 19
22
19 - 25
44
25 - 31
49
31 - 37
62
37 - 43
68
43 - 49
82
49 - 55
96
(v)
class interval
Cumulative Frequency
13 - 19
22
19 - 25
27
25 - 31
49
31 - 37
58
37 - 43
64
43 - 49
78
49 - 55
92
Question
9
9.
Find the cumulative frequency of class
71
-
79
.
Class-Interval
26 - 34
35 - 43
44 - 52
53 - 61
62 - 70
71 - 79
Frequency
23
18
12
7
16
25
(i)
104
(ii)
101
(iii)
102
(iv)
100
(v)
99
Question
10
10.
Find the cumulative frequency of class
52
-
61
.
Class-Interval
43 - 52
52 - 61
61 - 70
70 - 79
79 - 88
88 - 97
97 - 106
106 - 115
Frequency
23
7
5
22
14
14
11
22
(i)
32
(ii)
30
(iii)
31
(iv)
27
(v)
29
Question
11
11.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
28 - 35
8
35 - 42
16
42 - 49
21
49 - 56
34
56 - 63
49
63 - 70
62
70 - 77
76
(i)
Class-Interval
28 - 35
35 - 42
42 - 49
49 - 56
56 - 63
63 - 70
70 - 77
Frequency
8
8
5
8
15
13
14
(ii)
Class-Interval
28 - 35
35 - 42
42 - 49
49 - 56
56 - 63
63 - 70
70 - 77
Frequency
8
5
8
13
15
13
14
(iii)
Class-Interval
28 - 35
35 - 42
42 - 49
49 - 56
56 - 63
63 - 70
70 - 77
Frequency
8
8
5
13
15
13
14
(iv)
Class-Interval
28 - 35
35 - 42
42 - 49
49 - 56
56 - 63
63 - 70
70 - 77
Frequency
8
14
5
13
15
13
8
(v)
Class-Interval
28 - 35
35 - 42
42 - 49
49 - 56
56 - 63
63 - 70
70 - 77
Frequency
8
8
1
13
15
13
14
Question
12
12.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
35 - 40
60
40 - 45
47
45 - 50
40
50 - 55
31
55 - 60
15
(i)
Class-Interval
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
Frequency
13
7
6
16
15
(ii)
Class-Interval
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
Frequency
13
12
9
16
15
(iii)
Class-Interval
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
Frequency
13
15
9
16
7
(iv)
Class-Interval
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
Frequency
13
7
9
16
15
(v)
Class-Interval
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
Frequency
13
9
7
16
15
Question
13
13.
During the medical check-up of 47 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is less than 67 kg
Class-Interval
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
Frequency
11
10
9
8
9
(i)
50
(ii)
48
(iii)
46
(iv)
47
(v)
44
Question
14
14.
During the medical check-up of 48 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is more than 77 kg
Class-Interval
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
Frequency
11
6
9
6
8
8
(i)
15
(ii)
19
(iii)
17
(iv)
14
(v)
16
Assignment Key
1) (ii)
2) (iv)
3) (iv)
4) (ii)
5) (iii)
6) (ii)
7) (v)
8) (ii)
9) (ii)
10) (ii)
11) (iii)
12) (iv)
13) (iv)
14) (v)
