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
17 - 24
15
25 - 32
21
33 - 40
32
41 - 48
42
49 - 56
58
(i)
Class-Interval
17 - 24
25 - 32
33 - 40
41 - 48
49 - 56
Frequency
15
16
11
10
6
(ii)
Class-Interval
17 - 24
25 - 32
33 - 40
41 - 48
49 - 56
Frequency
15
6
7
10
16
(iii)
Class-Interval
17 - 24
25 - 32
33 - 40
41 - 48
49 - 56
Frequency
15
8
11
10
16
(iv)
Class-Interval
17 - 24
25 - 32
33 - 40
41 - 48
49 - 56
Frequency
15
6
11
10
16
(v)
Class-Interval
17 - 24
25 - 32
33 - 40
41 - 48
49 - 56
Frequency
15
11
6
10
16
Question
2
2.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
40 - 44
13
44 - 48
25
48 - 52
40
52 - 56
46
56 - 60
57
60 - 64
64
(i)
Class-Interval
40 - 44
44 - 48
48 - 52
52 - 56
56 - 60
60 - 64
Frequency
13
7
15
6
11
12
(ii)
Class-Interval
40 - 44
44 - 48
48 - 52
52 - 56
56 - 60
60 - 64
Frequency
13
12
15
6
11
7
(iii)
Class-Interval
40 - 44
44 - 48
48 - 52
52 - 56
56 - 60
60 - 64
Frequency
13
15
12
6
11
7
(iv)
Class-Interval
40 - 44
44 - 48
48 - 52
52 - 56
56 - 60
60 - 64
Frequency
13
12
12
6
11
7
(v)
Class-Interval
40 - 44
44 - 48
48 - 52
52 - 56
56 - 60
60 - 64
Frequency
13
12
15
3
11
7
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
50 - 55
No. of Patients
81
21
47
70
56
85
(i)
Age (in years)
Cumulative Frequency
20 - 25
81
26 - 31
128
32 - 37
149
38 - 43
219
44 - 49
275
50 - 55
360
(ii)
Age (in years)
Cumulative Frequency
20 - 25
81
26 - 31
102
32 - 37
149
38 - 43
224
44 - 49
280
50 - 55
365
(iii)
Age (in years)
Cumulative Frequency
20 - 25
81
26 - 31
166
32 - 37
213
38 - 43
283
44 - 49
339
50 - 55
360
(iv)
Age (in years)
Cumulative Frequency
20 - 25
81
26 - 31
102
32 - 37
149
38 - 43
219
44 - 49
275
50 - 55
360
(v)
Age (in years)
Cumulative Frequency
20 - 25
81
26 - 31
102
32 - 37
147
38 - 43
217
44 - 49
273
50 - 55
358
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
35 - 40
No. of Patients
38
16
59
20
41
40
(i)
Age (in years)
Cumulative Frequency
10 - 15
38
15 - 20
54
20 - 25
113
25 - 30
133
30 - 35
174
35 - 40
214
(ii)
Age (in years)
Cumulative Frequency
10 - 15
38
15 - 20
54
20 - 25
117
25 - 30
137
30 - 35
178
35 - 40
218
(iii)
Age (in years)
Cumulative Frequency
10 - 15
38
15 - 20
54
20 - 25
113
25 - 30
131
30 - 35
172
35 - 40
212
(iv)
Age (in years)
Cumulative Frequency
10 - 15
38
15 - 20
78
20 - 25
137
25 - 30
157
30 - 35
198
35 - 40
214
(v)
Age (in years)
Cumulative Frequency
10 - 15
38
15 - 20
97
20 - 25
113
25 - 30
133
30 - 35
174
35 - 40
214
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
10
14
1
19
14
13
(i)
Wages (in rupees)
Cumulative Frequency
300 - 340
10
341 - 381
11
382 - 422
25
423 - 463
44
464 - 504
58
505 - 545
71
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 340
10
341 - 381
24
382 - 422
25
423 - 463
48
464 - 504
62
505 - 545
75
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 340
10
341 - 381
24
382 - 422
29
423 - 463
48
464 - 504
62
505 - 545
75
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 340
10
341 - 381
23
382 - 422
24
423 - 463
43
464 - 504
57
505 - 545
71
(v)
Wages (in rupees)
Cumulative Frequency
300 - 340
10
341 - 381
24
382 - 422
25
423 - 463
44
464 - 504
58
505 - 545
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)
200 - 240
240 - 280
280 - 320
320 - 360
360 - 400
400 - 440
Labourers
17
13
5
18
16
2
(i)
Wages (in rupees)
Cumulative Frequency
200 - 240
17
240 - 280
30
280 - 320
38
320 - 360
56
360 - 400
72
400 - 440
74
(ii)
Wages (in rupees)
Cumulative Frequency
200 - 240
17
240 - 280
22
280 - 320
35
320 - 360
53
360 - 400
69
400 - 440
71
(iii)
Wages (in rupees)
Cumulative Frequency
200 - 240
17
240 - 280
19
280 - 320
24
320 - 360
42
360 - 400
58
400 - 440
71
(iv)
Wages (in rupees)
Cumulative Frequency
200 - 240
17
240 - 280
30
280 - 320
35
320 - 360
53
360 - 400
69
400 - 440
71
(v)
Wages (in rupees)
Cumulative Frequency
200 - 240
17
240 - 280
30
280 - 320
35
320 - 360
57
360 - 400
73
400 - 440
75
Question
7
7.
Identify the cumulative frequency of the given grouped data.
class interval
29 - 36
37 - 44
45 - 52
53 - 60
61 - 68
69 - 76
77 - 84
frequency
11
7
7
21
16
25
19
(i)
class interval
Cumulative Frequency
29 - 36
11
37 - 44
18
45 - 52
25
53 - 60
46
61 - 68
62
69 - 76
87
77 - 84
106
(ii)
class interval
Cumulative Frequency
29 - 36
11
37 - 44
18
45 - 52
25
53 - 60
48
61 - 68
64
69 - 76
89
77 - 84
108
(iii)
class interval
Cumulative Frequency
29 - 36
11
37 - 44
30
45 - 52
37
53 - 60
58
61 - 68
74
69 - 76
99
77 - 84
106
(iv)
class interval
Cumulative Frequency
29 - 36
11
37 - 44
18
45 - 52
30
53 - 60
51
61 - 68
67
69 - 76
92
77 - 84
111
Question
8
8.
Identify the cumulative frequency of the given grouped data.
class interval
11 - 20
20 - 29
29 - 38
38 - 47
47 - 56
frequency
23
9
22
14
5
(i)
class interval
Cumulative Frequency
11 - 20
23
20 - 29
45
29 - 38
54
38 - 47
68
47 - 56
73
(ii)
class interval
Cumulative Frequency
11 - 20
23
20 - 29
28
29 - 38
50
38 - 47
64
47 - 56
73
(iii)
class interval
Cumulative Frequency
11 - 20
23
20 - 29
29
29 - 38
51
38 - 47
65
47 - 56
70
(iv)
class interval
Cumulative Frequency
11 - 20
23
20 - 29
32
29 - 38
54
38 - 47
68
47 - 56
73
(v)
class interval
Cumulative Frequency
11 - 20
23
20 - 29
32
29 - 38
58
38 - 47
72
47 - 56
77
Question
9
9.
Find the cumulative frequency of class
73
-
81
.
Class-Interval
46 - 54
55 - 63
64 - 72
73 - 81
82 - 90
Frequency
15
5
23
15
13
(i)
57
(ii)
58
(iii)
59
(iv)
56
(v)
60
Question
10
10.
Find the cumulative frequency of class
49
-
55
.
Class-Interval
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
Frequency
18
22
12
25
20
(i)
80
(ii)
76
(iii)
78
(iv)
77
(v)
74
Question
11
11.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
10 - 16
10
16 - 22
17
22 - 28
27
28 - 34
36
34 - 40
51
40 - 46
60
46 - 52
69
52 - 58
76
(i)
Class-Interval
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
46 - 52
52 - 58
Frequency
10
7
15
9
15
9
9
7
(ii)
Class-Interval
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
46 - 52
52 - 58
Frequency
10
7
10
9
13
9
9
7
(iii)
Class-Interval
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
46 - 52
52 - 58
Frequency
10
7
10
9
15
9
9
7
(iv)
Class-Interval
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
46 - 52
52 - 58
Frequency
10
7
9
10
15
9
9
7
Question
12
12.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
35 - 43
85
43 - 51
80
51 - 59
67
59 - 67
54
67 - 75
42
75 - 83
35
83 - 91
23
91 - 99
11
(i)
Class-Interval
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
91 - 99
Frequency
5
13
12
13
7
12
12
11
(ii)
Class-Interval
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
91 - 99
Frequency
5
11
13
12
7
12
12
13
(iii)
Class-Interval
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
91 - 99
Frequency
5
13
13
12
9
12
12
11
(iv)
Class-Interval
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
91 - 99
Frequency
5
13
13
12
7
12
12
11
(v)
Class-Interval
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
91 - 99
Frequency
5
13
15
12
7
12
12
11
Question
13
13.
During the medical check-up of 60 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is less than 69 kg
Class-Interval
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
76 - 83
Frequency
9
7
9
10
9
10
6
(i)
45
(ii)
41
(iii)
47
(iv)
44
(v)
43
Question
14
14.
During the medical check-up of 62 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is more than 66 kg
Class-Interval
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
93 - 102
Frequency
8
5
7
8
12
12
10
(i)
45
(ii)
42
(iii)
43
(iv)
41
(v)
39
Assignment Key
1) (iv)
2) (ii)
3) (iv)
4) (i)
5) (v)
6) (iv)
7) (i)
8) (iv)
9) (ii)
10) (iv)
11) (iii)
12) (iv)
13) (iv)
14) (ii)
