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
16 - 23
16
23 - 30
25
30 - 37
36
37 - 44
43
44 - 51
55
(i)
Class-Interval
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
Frequency
16
9
11
7
12
(ii)
Class-Interval
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
Frequency
16
7
11
7
12
(iii)
Class-Interval
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
Frequency
16
11
9
7
12
(iv)
Class-Interval
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
Frequency
16
12
11
7
9
(v)
Class-Interval
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
Frequency
16
9
6
7
12
Question
2
2.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
29 - 35
15
36 - 42
22
43 - 49
27
50 - 56
32
57 - 63
45
64 - 70
50
71 - 77
66
(i)
Class-Interval
29 - 35
36 - 42
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
Frequency
15
16
5
5
13
5
7
(ii)
Class-Interval
29 - 35
36 - 42
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
Frequency
15
5
7
5
13
5
16
(iii)
Class-Interval
29 - 35
36 - 42
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
Frequency
15
7
5
8
13
5
16
(iv)
Class-Interval
29 - 35
36 - 42
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
Frequency
15
7
5
5
13
5
16
(v)
Class-Interval
29 - 35
36 - 42
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
Frequency
15
7
9
5
13
5
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)
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
No. of Patients
87
85
83
38
85
85
45
(i)
Age (in years)
Cumulative Frequency
20 - 25
87
26 - 31
172
32 - 37
250
38 - 43
288
44 - 49
373
50 - 55
458
56 - 61
503
(ii)
Age (in years)
Cumulative Frequency
20 - 25
87
26 - 31
172
32 - 37
255
38 - 43
293
44 - 49
378
50 - 55
463
56 - 61
508
(iii)
Age (in years)
Cumulative Frequency
20 - 25
87
26 - 31
170
32 - 37
255
38 - 43
293
44 - 49
378
50 - 55
463
56 - 61
508
(iv)
Age (in years)
Cumulative Frequency
20 - 25
87
26 - 31
132
32 - 37
215
38 - 43
253
44 - 49
338
50 - 55
423
56 - 61
508
(v)
Age (in years)
Cumulative Frequency
20 - 25
87
26 - 31
172
32 - 37
255
38 - 43
288
44 - 49
373
50 - 55
458
56 - 61
503
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
No. of Patients
40
24
90
29
83
(i)
Age (in years)
Cumulative Frequency
20 - 30
40
30 - 40
130
40 - 50
154
50 - 60
183
60 - 70
266
(ii)
Age (in years)
Cumulative Frequency
20 - 30
40
30 - 40
64
40 - 50
150
50 - 60
179
60 - 70
262
(iii)
Age (in years)
Cumulative Frequency
20 - 30
40
30 - 40
64
40 - 50
154
50 - 60
183
60 - 70
266
(iv)
Age (in years)
Cumulative Frequency
20 - 30
40
30 - 40
123
40 - 50
213
50 - 60
242
60 - 70
266
(v)
Age (in years)
Cumulative Frequency
20 - 30
40
30 - 40
59
40 - 50
149
50 - 60
178
60 - 70
261
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
15
2
11
2
18
8
(i)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
341 - 381
17
382 - 422
28
423 - 463
30
464 - 504
48
505 - 545
56
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
341 - 381
17
382 - 422
23
423 - 463
25
464 - 504
43
505 - 545
51
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
341 - 381
17
382 - 422
28
423 - 463
35
464 - 504
53
505 - 545
61
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
341 - 381
26
382 - 422
28
423 - 463
30
464 - 504
48
505 - 545
56
(v)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
341 - 381
23
382 - 422
34
423 - 463
36
464 - 504
54
505 - 545
56
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
13
12
4
4
14
(i)
Wages (in rupees)
Cumulative Frequency
300 - 330
4
330 - 360
17
360 - 390
29
390 - 420
38
420 - 450
42
450 - 480
56
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 330
4
330 - 360
18
360 - 390
30
390 - 420
34
420 - 450
38
450 - 480
51
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 330
4
330 - 360
17
360 - 390
29
390 - 420
33
420 - 450
37
450 - 480
51
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 330
4
330 - 360
16
360 - 390
29
390 - 420
33
420 - 450
37
450 - 480
51
(v)
Wages (in rupees)
Cumulative Frequency
300 - 330
4
330 - 360
17
360 - 390
34
390 - 420
38
420 - 450
42
450 - 480
56
Question
7
7.
Identify the cumulative frequency of the given grouped data.
class interval
36 - 41
42 - 47
48 - 53
54 - 59
60 - 65
frequency
11
16
15
7
20
(i)
class interval
Cumulative Frequency
36 - 41
11
42 - 47
27
48 - 53
37
54 - 59
44
60 - 65
64
(ii)
class interval
Cumulative Frequency
36 - 41
11
42 - 47
31
48 - 53
46
54 - 59
53
60 - 65
73
(iii)
class interval
Cumulative Frequency
36 - 41
11
42 - 47
26
48 - 53
42
54 - 59
49
60 - 65
69
(iv)
class interval
Cumulative Frequency
36 - 41
11
42 - 47
27
48 - 53
42
54 - 59
49
60 - 65
69
(v)
class interval
Cumulative Frequency
36 - 41
11
42 - 47
31
48 - 53
46
54 - 59
53
60 - 65
69
Question
8
8.
Identify the cumulative frequency of the given grouped data.
class interval
29 - 39
39 - 49
49 - 59
59 - 69
69 - 79
frequency
12
25
10
22
9
(i)
class interval
Cumulative Frequency
29 - 39
12
39 - 49
21
49 - 59
31
59 - 69
53
69 - 79
78
(ii)
class interval
Cumulative Frequency
29 - 39
12
39 - 49
39
49 - 59
49
59 - 69
71
69 - 79
80
(iii)
class interval
Cumulative Frequency
29 - 39
12
39 - 49
22
49 - 59
47
59 - 69
69
69 - 79
78
(iv)
class interval
Cumulative Frequency
29 - 39
12
39 - 49
37
49 - 59
47
59 - 69
69
69 - 79
78
(v)
class interval
Cumulative Frequency
29 - 39
12
39 - 49
37
49 - 59
45
59 - 69
67
69 - 79
76
Question
9
9.
Given class interval table, find the sum of frequencies.
Class-Interval
44 - 54
54 - 64
64 - 74
74 - 84
84 - 94
94 - 104
104 - 114
114 - 124
Frequency
29
2
18
4
2
19
21
23
(i)
120
(ii)
119
(iii)
117
(iv)
116
(v)
118
Question
10
10.
Find the cumulative frequency of class
92
-
101
.
Class-Interval
32 - 41
42 - 51
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
Frequency
19
14
24
14
5
9
14
(i)
98
(ii)
101
(iii)
100
(iv)
97
(v)
99
Question
11
11.
Find the cumulative frequency of class
73
-
80
.
Class-Interval
45 - 52
52 - 59
59 - 66
66 - 73
73 - 80
80 - 87
Frequency
6
24
19
5
11
20
(i)
65
(ii)
64
(iii)
66
(iv)
68
(v)
62
Question
12
12.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
16 - 20
8
20 - 24
23
24 - 28
37
28 - 32
47
32 - 36
60
36 - 40
76
(i)
Class-Interval
16 - 20
20 - 24
24 - 28
28 - 32
32 - 36
36 - 40
Frequency
8
15
14
10
13
16
(ii)
Class-Interval
16 - 20
20 - 24
24 - 28
28 - 32
32 - 36
36 - 40
Frequency
8
15
14
15
13
16
(iii)
Class-Interval
16 - 20
20 - 24
24 - 28
28 - 32
32 - 36
36 - 40
Frequency
8
15
10
10
13
16
(iv)
Class-Interval
16 - 20
20 - 24
24 - 28
28 - 32
32 - 36
36 - 40
Frequency
8
16
14
10
13
15
(v)
Class-Interval
16 - 20
20 - 24
24 - 28
28 - 32
32 - 36
36 - 40
Frequency
8
14
15
10
13
16
Question
13
13.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
19 - 26
66
26 - 33
57
33 - 40
45
40 - 47
31
47 - 54
16
(i)
Class-Interval
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
Frequency
9
14
12
15
16
(ii)
Class-Interval
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
Frequency
9
12
17
15
16
(iii)
Class-Interval
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
Frequency
9
12
14
15
16
(iv)
Class-Interval
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
Frequency
9
15
14
15
16
(v)
Class-Interval
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
Frequency
9
16
14
15
12
Question
14
14.
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 less than 71 kg
Class-Interval
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
91 - 101
Frequency
10
10
9
11
9
5
5
(i)
39
(ii)
40
(iii)
43
(iv)
41
(v)
37
Question
15
15.
During the medical check-up of 57 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is more than 82 kg
Class-Interval
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
Frequency
11
6
12
10
5
6
7
(i)
8
(ii)
7
(iii)
6
(iv)
10
(v)
5
Assignment Key
1) (i)
2) (iv)
3) (ii)
4) (iii)
5) (i)
6) (iii)
7) (iv)
8) (iv)
9) (v)
10) (v)
11) (i)
12) (i)
13) (iii)
14) (ii)
15) (ii)
