EduSahara™ Assignment
Name : Cumulative Frequency
Chapter : Frequency Distribution Tables and Graphs
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
14 - 20
9
20 - 26
14
26 - 32
19
32 - 38
27
38 - 44
38
44 - 50
44
50 - 56
53
(i)
Class-Interval
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
Frequency
9
5
5
8
11
6
9
(ii)
Class-Interval
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
Frequency
9
5
5
5
11
6
9
(iii)
Class-Interval
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
Frequency
9
9
5
8
11
6
5
(iv)
Class-Interval
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
Frequency
9
5
1
8
11
6
9
Question
2
2.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
26 - 33
8
34 - 41
17
42 - 49
29
50 - 57
35
58 - 65
43
(i)
Class-Interval
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
Frequency
8
9
7
6
8
(ii)
Class-Interval
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
Frequency
8
9
12
6
8
(iii)
Class-Interval
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
Frequency
8
8
12
6
9
(iv)
Class-Interval
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
Frequency
8
7
12
6
8
(v)
Class-Interval
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
Frequency
8
12
9
6
8
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
68
86
35
58
57
74
(i)
Age (in years)
Cumulative Frequency
20 - 25
68
26 - 31
154
32 - 37
189
38 - 43
242
44 - 49
299
50 - 55
373
(ii)
Age (in years)
Cumulative Frequency
20 - 25
68
26 - 31
154
32 - 37
189
38 - 43
247
44 - 49
304
50 - 55
378
(iii)
Age (in years)
Cumulative Frequency
20 - 25
68
26 - 31
154
32 - 37
193
38 - 43
251
44 - 49
308
50 - 55
382
(iv)
Age (in years)
Cumulative Frequency
20 - 25
68
26 - 31
142
32 - 37
177
38 - 43
235
44 - 49
292
50 - 55
378
(v)
Age (in years)
Cumulative Frequency
20 - 25
68
26 - 31
103
32 - 37
189
38 - 43
247
44 - 49
304
50 - 55
378
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 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
No. of Patients
89
72
73
76
28
17
56
(i)
Age (in years)
Cumulative Frequency
20 - 30
89
30 - 40
145
40 - 50
218
50 - 60
294
60 - 70
322
70 - 80
339
80 - 90
411
(ii)
Age (in years)
Cumulative Frequency
20 - 30
89
30 - 40
161
40 - 50
238
50 - 60
314
60 - 70
342
70 - 80
359
80 - 90
415
(iii)
Age (in years)
Cumulative Frequency
20 - 30
89
30 - 40
161
40 - 50
234
50 - 60
306
60 - 70
334
70 - 80
351
80 - 90
407
(iv)
Age (in years)
Cumulative Frequency
20 - 30
89
30 - 40
162
40 - 50
234
50 - 60
310
60 - 70
338
70 - 80
355
80 - 90
411
(v)
Age (in years)
Cumulative Frequency
20 - 30
89
30 - 40
161
40 - 50
234
50 - 60
310
60 - 70
338
70 - 80
355
80 - 90
411
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
14
4
10
7
13
6
(i)
Wages (in rupees)
Cumulative Frequency
200 - 230
14
231 - 261
18
262 - 292
30
293 - 323
37
324 - 354
50
355 - 385
56
(ii)
Wages (in rupees)
Cumulative Frequency
200 - 230
14
231 - 261
24
262 - 292
28
293 - 323
35
324 - 354
48
355 - 385
54
(iii)
Wages (in rupees)
Cumulative Frequency
200 - 230
14
231 - 261
18
262 - 292
28
293 - 323
35
324 - 354
48
355 - 385
54
(iv)
Wages (in rupees)
Cumulative Frequency
200 - 230
14
231 - 261
18
262 - 292
28
293 - 323
32
324 - 354
45
355 - 385
51
(v)
Wages (in rupees)
Cumulative Frequency
200 - 230
14
231 - 261
20
262 - 292
30
293 - 323
37
324 - 354
50
355 - 385
54
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
8
17
10
9
2
7
(i)
Wages (in rupees)
Cumulative Frequency
300 - 330
8
330 - 360
25
360 - 390
32
390 - 420
41
420 - 450
43
450 - 480
50
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 330
8
330 - 360
25
360 - 390
35
390 - 420
44
420 - 450
46
450 - 480
53
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 330
8
330 - 360
15
360 - 390
25
390 - 420
34
420 - 450
36
450 - 480
53
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 330
8
330 - 360
25
360 - 390
35
390 - 420
48
420 - 450
50
450 - 480
57
(v)
Wages (in rupees)
Cumulative Frequency
300 - 330
8
330 - 360
18
360 - 390
35
390 - 420
44
420 - 450
46
450 - 480
53
Question
7
7.
Identify the cumulative frequency of the given grouped data.
class interval
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
77 - 85
frequency
15
10
25
15
24
22
14
20
(i)
class interval
Cumulative Frequency
14 - 22
15
23 - 31
25
32 - 40
50
41 - 49
65
50 - 58
85
59 - 67
107
68 - 76
121
77 - 85
141
(ii)
class interval
Cumulative Frequency
14 - 22
15
23 - 31
25
32 - 40
52
41 - 49
67
50 - 58
91
59 - 67
113
68 - 76
127
77 - 85
147
(iii)
class interval
Cumulative Frequency
14 - 22
15
23 - 31
25
32 - 40
40
41 - 49
65
50 - 58
89
59 - 67
111
68 - 76
125
77 - 85
145
(iv)
class interval
Cumulative Frequency
14 - 22
15
23 - 31
25
32 - 40
50
41 - 49
65
50 - 58
89
59 - 67
111
68 - 76
125
77 - 85
145
(v)
class interval
Cumulative Frequency
14 - 22
15
23 - 31
35
32 - 40
60
41 - 49
75
50 - 58
99
59 - 67
121
68 - 76
135
77 - 85
145
Question
8
8.
Identify the cumulative frequency of the given grouped data.
class interval
16 - 26
26 - 36
36 - 46
46 - 56
56 - 66
66 - 76
76 - 86
86 - 96
frequency
17
14
23
24
13
9
12
22
(i)
class interval
Cumulative Frequency
16 - 26
17
26 - 36
31
36 - 46
55
46 - 56
78
56 - 66
91
66 - 76
100
76 - 86
112
86 - 96
134
(ii)
class interval
Cumulative Frequency
16 - 26
17
26 - 36
39
36 - 46
62
46 - 56
86
56 - 66
99
66 - 76
108
76 - 86
120
86 - 96
134
(iii)
class interval
Cumulative Frequency
16 - 26
17
26 - 36
31
36 - 46
54
46 - 56
78
56 - 66
91
66 - 76
100
76 - 86
112
86 - 96
134
(iv)
class interval
Cumulative Frequency
16 - 26
17
26 - 36
31
36 - 46
54
46 - 56
78
56 - 66
89
66 - 76
98
76 - 86
110
86 - 96
132
(v)
class interval
Cumulative Frequency
16 - 26
17
26 - 36
31
36 - 46
50
46 - 56
74
56 - 66
87
66 - 76
96
76 - 86
108
86 - 96
130
Question
9
9.
Given class interval table, find the sum of frequencies.
Class-Interval
42 - 49
49 - 56
56 - 63
63 - 70
Frequency
8
26
8
16
(i)
59
(ii)
56
(iii)
58
(iv)
60
(v)
57
Question
10
10.
Find the cumulative frequency of class
67
-
77
.
Class-Interval
34 - 44
45 - 55
56 - 66
67 - 77
Frequency
7
7
12
15
(i)
43
(ii)
42
(iii)
38
(iv)
41
(v)
40
Question
11
11.
Find the cumulative frequency of class
78
-
88
.
Class-Interval
48 - 58
58 - 68
68 - 78
78 - 88
88 - 98
98 - 108
108 - 118
Frequency
8
8
8
22
14
21
21
(i)
44
(ii)
47
(iii)
45
(iv)
49
(v)
46
Question
12
12.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
37 - 42
15
42 - 47
27
47 - 52
43
52 - 57
51
57 - 62
56
(i)
Class-Interval
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
Frequency
15
12
16
8
5
(ii)
Class-Interval
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
Frequency
15
12
18
8
5
(iii)
Class-Interval
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
Frequency
15
14
16
8
5
(iv)
Class-Interval
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
Frequency
15
5
16
8
12
(v)
Class-Interval
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
Frequency
15
16
12
8
5
Question
13
13.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
40 - 47
70
47 - 54
57
54 - 61
43
61 - 68
28
68 - 75
12
(i)
Class-Interval
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
Frequency
13
14
15
16
12
(ii)
Class-Interval
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
Frequency
13
15
14
16
12
(iii)
Class-Interval
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
Frequency
13
10
15
16
12
(iv)
Class-Interval
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
Frequency
13
12
15
16
14
(v)
Class-Interval
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
Frequency
13
14
13
16
12
Question
14
14.
During the medical check-up of 34 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is less than 52 kg
Class-Interval
37 - 42
42 - 47
47 - 52
52 - 57
Frequency
11
11
7
5
(i)
30
(ii)
28
(iii)
27
(iv)
31
(v)
29
Question
15
15.
During the medical check-up of 59 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is more than 80 kg
Class-Interval
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
80 - 89
89 - 98
Frequency
8
5
7
8
10
9
12
(i)
22
(ii)
21
(iii)
18
(iv)
23
(v)
20
Assignment Key
1) (i)
2) (ii)
3) (ii)
4) (v)
5) (iii)
6) (ii)
7) (iv)
8) (iii)
9) (iii)
10) (iv)
11) (v)
12) (i)
13) (i)
14) (v)
15) (ii)
