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
30 - 39
8
40 - 49
23
50 - 59
33
60 - 69
46
70 - 79
51
80 - 89
56
(i)
Class-Interval
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
Frequency
8
15
10
13
5
5
(ii)
Class-Interval
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
Frequency
8
15
10
10
5
5
(iii)
Class-Interval
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
Frequency
8
15
8
13
5
5
(iv)
Class-Interval
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
Frequency
8
5
10
13
5
15
(v)
Class-Interval
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
Frequency
8
10
15
13
5
5
Question
2
2.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
36 - 42
9
42 - 48
17
48 - 54
27
54 - 60
32
60 - 66
45
66 - 72
61
72 - 78
77
78 - 84
89
(i)
Class-Interval
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
66 - 72
72 - 78
78 - 84
Frequency
9
8
10
5
10
16
16
12
(ii)
Class-Interval
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
66 - 72
72 - 78
78 - 84
Frequency
9
8
5
10
13
16
16
12
(iii)
Class-Interval
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
66 - 72
72 - 78
78 - 84
Frequency
9
8
7
5
13
16
16
12
(iv)
Class-Interval
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
66 - 72
72 - 78
78 - 84
Frequency
9
12
10
5
13
16
16
8
(v)
Class-Interval
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
66 - 72
72 - 78
78 - 84
Frequency
9
8
10
5
13
16
16
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 - 30
31 - 41
42 - 52
53 - 63
64 - 74
No. of Patients
58
26
76
83
87
(i)
Age (in years)
Cumulative Frequency
20 - 30
58
31 - 41
84
42 - 52
164
53 - 63
247
64 - 74
334
(ii)
Age (in years)
Cumulative Frequency
20 - 30
58
31 - 41
88
42 - 52
164
53 - 63
247
64 - 74
334
(iii)
Age (in years)
Cumulative Frequency
20 - 30
58
31 - 41
84
42 - 52
160
53 - 63
243
64 - 74
330
(iv)
Age (in years)
Cumulative Frequency
20 - 30
58
31 - 41
134
42 - 52
160
53 - 63
243
64 - 74
330
(v)
Age (in years)
Cumulative Frequency
20 - 30
58
31 - 41
145
42 - 52
221
53 - 63
304
64 - 74
330
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
18
77
13
86
37
42
32
56
(i)
Age (in years)
Cumulative Frequency
10 - 20
18
20 - 30
95
30 - 40
181
40 - 50
194
50 - 60
231
60 - 70
273
70 - 80
305
80 - 90
361
(ii)
Age (in years)
Cumulative Frequency
10 - 20
18
20 - 30
74
30 - 40
87
40 - 50
173
50 - 60
210
60 - 70
252
70 - 80
284
80 - 90
361
(iii)
Age (in years)
Cumulative Frequency
10 - 20
18
20 - 30
95
30 - 40
113
40 - 50
199
50 - 60
236
60 - 70
278
70 - 80
310
80 - 90
366
(iv)
Age (in years)
Cumulative Frequency
10 - 20
18
20 - 30
95
30 - 40
108
40 - 50
194
50 - 60
231
60 - 70
273
70 - 80
305
80 - 90
361
(v)
Age (in years)
Cumulative Frequency
10 - 20
18
20 - 30
95
30 - 40
108
40 - 50
194
50 - 60
228
60 - 70
270
70 - 80
302
80 - 90
358
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
20
11
9
1
9
(i)
Wages (in rupees)
Cumulative Frequency
200 - 230
13
231 - 261
33
262 - 292
44
293 - 323
53
324 - 354
54
355 - 385
63
(ii)
Wages (in rupees)
Cumulative Frequency
200 - 230
13
231 - 261
33
262 - 292
44
293 - 323
49
324 - 354
50
355 - 385
59
(iii)
Wages (in rupees)
Cumulative Frequency
200 - 230
13
231 - 261
33
262 - 292
41
293 - 323
50
324 - 354
51
355 - 385
60
(iv)
Wages (in rupees)
Cumulative Frequency
200 - 230
13
231 - 261
24
262 - 292
44
293 - 323
53
324 - 354
54
355 - 385
63
(v)
Wages (in rupees)
Cumulative Frequency
200 - 230
13
231 - 261
22
262 - 292
33
293 - 323
42
324 - 354
43
355 - 385
63
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 - 320
320 - 340
340 - 360
360 - 380
380 - 400
400 - 420
Labourers
17
5
4
17
1
19
(i)
Wages (in rupees)
Cumulative Frequency
300 - 320
17
320 - 340
22
340 - 360
26
360 - 380
43
380 - 400
44
400 - 420
63
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 320
17
320 - 340
21
340 - 360
26
360 - 380
43
380 - 400
44
400 - 420
63
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 320
17
320 - 340
22
340 - 360
26
360 - 380
48
380 - 400
49
400 - 420
68
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 320
17
320 - 340
36
340 - 360
40
360 - 380
57
380 - 400
58
400 - 420
63
(v)
Wages (in rupees)
Cumulative Frequency
300 - 320
17
320 - 340
22
340 - 360
24
360 - 380
41
380 - 400
42
400 - 420
61
Question
7
7.
Identify the cumulative frequency of the given grouped data.
class interval
15 - 24
25 - 34
35 - 44
45 - 54
55 - 64
65 - 74
75 - 84
85 - 94
frequency
17
19
15
12
25
9
11
11
(i)
class interval
Cumulative Frequency
15 - 24
17
25 - 34
36
35 - 44
48
45 - 54
63
55 - 64
88
65 - 74
97
75 - 84
108
85 - 94
119
(ii)
class interval
Cumulative Frequency
15 - 24
17
25 - 34
36
35 - 44
51
45 - 54
63
55 - 64
83
65 - 74
92
75 - 84
103
85 - 94
114
(iii)
class interval
Cumulative Frequency
15 - 24
17
25 - 34
36
35 - 44
48
45 - 54
60
55 - 64
85
65 - 74
94
75 - 84
105
85 - 94
116
(iv)
class interval
Cumulative Frequency
15 - 24
17
25 - 34
36
35 - 44
51
45 - 54
63
55 - 64
88
65 - 74
97
75 - 84
108
85 - 94
119
(v)
class interval
Cumulative Frequency
15 - 24
17
25 - 34
28
35 - 44
43
45 - 54
55
55 - 64
80
65 - 74
89
75 - 84
100
85 - 94
119
Question
8
8.
Identify the cumulative frequency of the given grouped data.
class interval
35 - 41
41 - 47
47 - 53
53 - 59
frequency
19
10
19
18
(i)
class interval
Cumulative Frequency
35 - 41
19
41 - 47
38
47 - 53
48
53 - 59
66
(ii)
class interval
Cumulative Frequency
35 - 41
19
41 - 47
33
47 - 53
52
53 - 59
70
(iii)
class interval
Cumulative Frequency
35 - 41
19
41 - 47
29
47 - 53
43
53 - 59
61
(iv)
class interval
Cumulative Frequency
35 - 41
19
41 - 47
29
47 - 53
48
53 - 59
66
(v)
class interval
Cumulative Frequency
35 - 41
18
41 - 47
28
47 - 53
47
53 - 59
66
Question
9
9.
Find the cumulative frequency of class
59
-
65
.
Class-Interval
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
59 - 65
Frequency
9
15
21
22
25
19
(i)
113
(ii)
112
(iii)
110
(iv)
111
(v)
109
Question
10
10.
Find the cumulative frequency of class
58
-
65
.
Class-Interval
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
51 - 58
58 - 65
65 - 72
Frequency
5
10
18
17
10
23
6
6
(i)
90
(ii)
88
(iii)
92
(iv)
89
(v)
87
Question
11
11.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
38 - 46
5
46 - 54
18
54 - 62
24
62 - 70
35
70 - 78
44
78 - 86
50
86 - 94
63
(i)
Class-Interval
38 - 46
46 - 54
54 - 62
62 - 70
70 - 78
78 - 86
86 - 94
Frequency
5
13
1
11
9
6
13
(ii)
Class-Interval
38 - 46
46 - 54
54 - 62
62 - 70
70 - 78
78 - 86
86 - 94
Frequency
5
6
13
11
9
6
13
(iii)
Class-Interval
38 - 46
46 - 54
54 - 62
62 - 70
70 - 78
78 - 86
86 - 94
Frequency
5
13
6
11
9
6
13
(iv)
Class-Interval
38 - 46
46 - 54
54 - 62
62 - 70
70 - 78
78 - 86
86 - 94
Frequency
5
13
6
14
9
6
13
Question
12
12.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
30 - 40
55
40 - 50
50
50 - 60
40
60 - 70
30
70 - 80
21
80 - 90
15
(i)
Class-Interval
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
Frequency
5
10
10
11
6
15
(ii)
Class-Interval
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
Frequency
5
15
10
9
6
10
(iii)
Class-Interval
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
Frequency
5
10
10
9
6
15
(iv)
Class-Interval
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
Frequency
5
10
12
9
6
15
Question
13
13.
During the medical check-up of 63 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is less than 86 kg
Class-Interval
37 - 44
44 - 51
51 - 58
58 - 65
65 - 72
72 - 79
79 - 86
86 - 93
Frequency
7
5
8
9
9
5
11
9
(i)
57
(ii)
51
(iii)
53
(iv)
55
(v)
54
Question
14
14.
During the medical check-up of 70 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is more than 44 kg
Class-Interval
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
Frequency
10
11
9
8
9
11
12
(i)
50
(ii)
48
(iii)
46
(iv)
49
(v)
51
Assignment Key
1) (i)
2) (v)
3) (iii)
4) (iv)
5) (i)
6) (i)
7) (iv)
8) (iv)
9) (iv)
10) (iv)
11) (iii)
12) (iii)
13) (v)
14) (iv)
