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
32 - 42
6
43 - 53
17
54 - 64
26
65 - 75
37
76 - 86
52
87 - 97
62
(i)
Class-Interval
32 - 42
43 - 53
54 - 64
65 - 75
76 - 86
87 - 97
Frequency
6
11
14
11
15
10
(ii)
Class-Interval
32 - 42
43 - 53
54 - 64
65 - 75
76 - 86
87 - 97
Frequency
6
10
9
11
15
11
(iii)
Class-Interval
32 - 42
43 - 53
54 - 64
65 - 75
76 - 86
87 - 97
Frequency
6
11
9
7
15
10
(iv)
Class-Interval
32 - 42
43 - 53
54 - 64
65 - 75
76 - 86
87 - 97
Frequency
6
11
9
11
15
10
(v)
Class-Interval
32 - 42
43 - 53
54 - 64
65 - 75
76 - 86
87 - 97
Frequency
6
9
11
11
15
10
Question
2
2.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
23 - 29
10
29 - 35
19
35 - 41
34
41 - 47
48
47 - 53
58
53 - 59
74
(i)
Class-Interval
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
Frequency
10
16
15
14
10
9
(ii)
Class-Interval
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
Frequency
10
9
20
14
10
16
(iii)
Class-Interval
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
Frequency
10
15
9
14
10
16
(iv)
Class-Interval
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
Frequency
10
9
15
11
10
16
(v)
Class-Interval
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
Frequency
10
9
15
14
10
16
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
80
44
33
52
(i)
Age (in years)
Cumulative Frequency
10 - 15
80
16 - 21
121
22 - 27
154
28 - 33
206
(ii)
Age (in years)
Cumulative Frequency
10 - 15
52
16 - 21
96
22 - 27
129
28 - 33
209
(iii)
Age (in years)
Cumulative Frequency
10 - 15
80
16 - 21
113
22 - 27
157
28 - 33
209
(iv)
Age (in years)
Cumulative Frequency
10 - 15
80
16 - 21
124
22 - 27
157
28 - 33
209
(v)
Age (in years)
Cumulative Frequency
10 - 15
80
16 - 21
124
22 - 27
160
28 - 33
212
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
No. of Patients
11
25
64
45
(i)
Age (in years)
Cumulative Frequency
10 - 20
11
20 - 30
39
30 - 40
103
40 - 50
148
(ii)
Age (in years)
Cumulative Frequency
10 - 20
45
20 - 30
70
30 - 40
134
40 - 50
145
(iii)
Age (in years)
Cumulative Frequency
10 - 20
11
20 - 30
36
30 - 40
95
40 - 50
140
(iv)
Age (in years)
Cumulative Frequency
10 - 20
11
20 - 30
75
30 - 40
100
40 - 50
145
(v)
Age (in years)
Cumulative Frequency
10 - 20
11
20 - 30
36
30 - 40
100
40 - 50
145
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 - 230
231 - 261
262 - 292
293 - 323
324 - 354
355 - 385
Labourers
13
11
19
9
1
1
(i)
Wages (in rupees)
Cumulative Frequency
200 - 230
13
231 - 261
14
262 - 292
33
293 - 323
42
324 - 354
43
355 - 385
54
(ii)
Wages (in rupees)
Cumulative Frequency
200 - 230
13
231 - 261
24
262 - 292
40
293 - 323
49
324 - 354
50
355 - 385
51
(iii)
Wages (in rupees)
Cumulative Frequency
200 - 230
13
231 - 261
24
262 - 292
43
293 - 323
52
324 - 354
53
355 - 385
54
(iv)
Wages (in rupees)
Cumulative Frequency
200 - 230
13
231 - 261
32
262 - 292
43
293 - 323
52
324 - 354
53
355 - 385
54
(v)
Wages (in rupees)
Cumulative Frequency
200 - 230
13
231 - 261
24
262 - 292
43
293 - 323
50
324 - 354
51
355 - 385
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
4
14
1
15
10
11
(i)
Wages (in rupees)
Cumulative Frequency
300 - 330
4
330 - 360
5
360 - 390
19
390 - 420
34
420 - 450
44
450 - 480
55
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 330
4
330 - 360
15
360 - 390
16
390 - 420
31
420 - 450
41
450 - 480
55
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 330
4
330 - 360
18
360 - 390
19
390 - 420
30
420 - 450
40
450 - 480
51
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 330
4
330 - 360
18
360 - 390
22
390 - 420
37
420 - 450
47
450 - 480
58
(v)
Wages (in rupees)
Cumulative Frequency
300 - 330
4
330 - 360
18
360 - 390
19
390 - 420
34
420 - 450
44
450 - 480
55
Question
7
7.
Identify the cumulative frequency of the given grouped data.
class interval
40 - 46
47 - 53
54 - 60
61 - 67
frequency
16
19
16
18
(i)
class interval
Cumulative Frequency
40 - 46
16
47 - 53
39
54 - 60
55
61 - 67
73
(ii)
class interval
Cumulative Frequency
40 - 46
16
47 - 53
35
54 - 60
53
61 - 67
71
(iii)
class interval
Cumulative Frequency
40 - 46
16
47 - 53
35
54 - 60
51
61 - 67
69
(iv)
class interval
Cumulative Frequency
40 - 46
18
47 - 53
37
54 - 60
53
61 - 67
69
(v)
class interval
Cumulative Frequency
40 - 46
16
47 - 53
32
54 - 60
51
61 - 67
69
Question
8
8.
Identify the cumulative frequency of the given grouped data.
class interval
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
frequency
20
16
8
14
18
14
23
9
(i)
class interval
Cumulative Frequency
11 - 17
20
17 - 23
36
23 - 29
44
29 - 35
58
35 - 41
71
41 - 47
85
47 - 53
108
53 - 59
117
(ii)
class interval
Cumulative Frequency
11 - 17
20
17 - 23
36
23 - 29
39
29 - 35
53
35 - 41
71
41 - 47
85
47 - 53
108
53 - 59
117
(iii)
class interval
Cumulative Frequency
11 - 17
20
17 - 23
29
23 - 29
37
29 - 35
51
35 - 41
69
41 - 47
83
47 - 53
106
53 - 59
122
(iv)
class interval
Cumulative Frequency
11 - 17
20
17 - 23
36
23 - 29
50
29 - 35
58
35 - 41
76
41 - 47
90
47 - 53
113
53 - 59
122
(v)
class interval
Cumulative Frequency
11 - 17
20
17 - 23
36
23 - 29
44
29 - 35
58
35 - 41
76
41 - 47
90
47 - 53
113
53 - 59
122
Question
9
9.
Find the cumulative frequency of class
31
-
37
.
Class-Interval
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
59 - 65
66 - 72
Frequency
10
13
11
10
11
22
19
23
(i)
33
(ii)
34
(iii)
35
(iv)
36
(v)
31
Question
10
10.
Find the cumulative frequency of class
89
-
99
.
Class-Interval
29 - 39
39 - 49
49 - 59
59 - 69
69 - 79
79 - 89
89 - 99
99 - 109
Frequency
24
18
11
10
7
16
6
8
(i)
90
(ii)
93
(iii)
91
(iv)
94
(v)
92
Question
11
11.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
15 - 21
7
21 - 27
21
27 - 33
27
33 - 39
33
39 - 45
49
45 - 51
54
51 - 57
65
57 - 63
79
(i)
Class-Interval
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
Frequency
7
14
6
6
14
5
11
14
(ii)
Class-Interval
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
Frequency
7
14
8
6
16
5
11
14
(iii)
Class-Interval
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
Frequency
7
14
6
6
16
5
11
14
Question
12
12.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
33 - 41
70
41 - 49
61
49 - 57
55
57 - 65
41
65 - 73
34
73 - 81
29
81 - 89
17
89 - 97
7
(i)
Class-Interval
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
73 - 81
81 - 89
89 - 97
Frequency
9
6
16
7
5
12
10
7
(ii)
Class-Interval
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
73 - 81
81 - 89
89 - 97
Frequency
9
6
7
14
5
12
10
7
(iii)
Class-Interval
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
73 - 81
81 - 89
89 - 97
Frequency
9
6
14
7
3
12
10
7
(iv)
Class-Interval
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
73 - 81
81 - 89
89 - 97
Frequency
9
7
14
7
5
12
10
6
(v)
Class-Interval
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
73 - 81
81 - 89
89 - 97
Frequency
9
6
14
7
5
12
10
7
Question
13
13.
During the medical check-up of 64 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is less than 51 kg
Class-Interval
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
Frequency
11
9
10
6
8
8
12
(i)
20
(ii)
21
(iii)
19
(iv)
18
(v)
22
Question
14
14.
During the medical check-up of 51 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is more than 71 kg
Class-Interval
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
Frequency
11
10
7
8
9
6
(i)
18
(ii)
12
(iii)
15
(iv)
14
(v)
16
Assignment Key
1) (iv)
2) (v)
3) (iv)
4) (v)
5) (iii)
6) (v)
7) (iii)
8) (v)
9) (ii)
10) (v)
11) (iii)
12) (v)
13) (i)
14) (iii)
