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
40 - 44
6
44 - 48
21
48 - 52
30
52 - 56
44
56 - 60
58
60 - 64
74
64 - 68
89
68 - 72
98
(i)
Class-Interval
40 - 44
44 - 48
48 - 52
52 - 56
56 - 60
60 - 64
64 - 68
68 - 72
Frequency
6
15
9
14
11
16
15
9
(ii)
Class-Interval
40 - 44
44 - 48
48 - 52
52 - 56
56 - 60
60 - 64
64 - 68
68 - 72
Frequency
6
15
14
9
14
16
15
9
(iii)
Class-Interval
40 - 44
44 - 48
48 - 52
52 - 56
56 - 60
60 - 64
64 - 68
68 - 72
Frequency
6
9
9
14
14
16
15
15
(iv)
Class-Interval
40 - 44
44 - 48
48 - 52
52 - 56
56 - 60
60 - 64
64 - 68
68 - 72
Frequency
6
15
6
14
14
16
15
9
(v)
Class-Interval
40 - 44
44 - 48
48 - 52
52 - 56
56 - 60
60 - 64
64 - 68
68 - 72
Frequency
6
15
9
14
14
16
15
9
Question
2
2.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
23 - 31
9
32 - 40
25
41 - 49
36
50 - 58
48
59 - 67
60
68 - 76
67
77 - 85
72
86 - 94
83
(i)
Class-Interval
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
77 - 85
86 - 94
Frequency
9
11
11
12
12
7
5
16
(ii)
Class-Interval
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
77 - 85
86 - 94
Frequency
9
16
6
12
12
7
5
11
(iii)
Class-Interval
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
77 - 85
86 - 94
Frequency
9
16
11
12
16
7
5
11
(iv)
Class-Interval
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
77 - 85
86 - 94
Frequency
9
16
12
11
12
7
5
11
(v)
Class-Interval
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
77 - 85
86 - 94
Frequency
9
16
11
12
12
7
5
11
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
34 - 39
40 - 45
No. of Patients
35
66
39
58
86
78
(i)
Age (in years)
Cumulative Frequency
10 - 15
35
16 - 21
113
22 - 27
152
28 - 33
210
34 - 39
296
40 - 45
362
(ii)
Age (in years)
Cumulative Frequency
10 - 15
35
16 - 21
101
22 - 27
140
28 - 33
198
34 - 39
284
40 - 45
362
(iii)
Age (in years)
Cumulative Frequency
10 - 15
35
16 - 21
101
22 - 27
143
28 - 33
201
34 - 39
287
40 - 45
365
(iv)
Age (in years)
Cumulative Frequency
10 - 15
35
16 - 21
101
22 - 27
140
28 - 33
201
34 - 39
287
40 - 45
365
(v)
Age (in years)
Cumulative Frequency
10 - 15
35
16 - 21
74
22 - 27
140
28 - 33
198
34 - 39
284
40 - 45
362
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
No. of Patients
12
44
56
28
10
(i)
Age (in years)
Cumulative Frequency
10 - 20
12
20 - 30
22
30 - 40
78
40 - 50
106
50 - 60
150
(ii)
Age (in years)
Cumulative Frequency
10 - 20
12
20 - 30
56
30 - 40
112
40 - 50
140
50 - 60
150
(iii)
Age (in years)
Cumulative Frequency
10 - 20
12
20 - 30
58
30 - 40
114
40 - 50
142
50 - 60
152
(iv)
Age (in years)
Cumulative Frequency
10 - 20
12
20 - 30
56
30 - 40
107
40 - 50
135
50 - 60
145
(v)
Age (in years)
Cumulative Frequency
10 - 20
12
20 - 30
68
30 - 40
112
40 - 50
140
50 - 60
150
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 - 220
221 - 241
242 - 262
263 - 283
284 - 304
305 - 325
Labourers
11
11
5
1
8
15
(i)
Wages (in rupees)
Cumulative Frequency
200 - 220
11
221 - 241
26
242 - 262
31
263 - 283
32
284 - 304
40
305 - 325
51
(ii)
Wages (in rupees)
Cumulative Frequency
200 - 220
11
221 - 241
22
242 - 262
27
263 - 283
28
284 - 304
36
305 - 325
51
(iii)
Wages (in rupees)
Cumulative Frequency
200 - 220
11
221 - 241
22
242 - 262
27
263 - 283
33
284 - 304
41
305 - 325
56
(iv)
Wages (in rupees)
Cumulative Frequency
200 - 220
11
221 - 241
16
242 - 262
27
263 - 283
28
284 - 304
36
305 - 325
51
(v)
Wages (in rupees)
Cumulative Frequency
200 - 220
11
221 - 241
22
242 - 262
23
263 - 283
24
284 - 304
32
305 - 325
47
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 - 340
340 - 380
380 - 420
420 - 460
460 - 500
500 - 540
Labourers
6
7
4
11
3
3
(i)
Wages (in rupees)
Cumulative Frequency
300 - 340
6
340 - 380
13
380 - 420
17
420 - 460
28
460 - 500
31
500 - 540
34
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 340
6
340 - 380
10
380 - 420
17
420 - 460
28
460 - 500
31
500 - 540
34
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 340
6
340 - 380
9
380 - 420
13
420 - 460
24
460 - 500
27
500 - 540
34
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 340
6
340 - 380
13
380 - 420
20
420 - 460
31
460 - 500
34
500 - 540
37
(v)
Wages (in rupees)
Cumulative Frequency
300 - 340
6
340 - 380
13
380 - 420
17
420 - 460
25
460 - 500
28
500 - 540
31
Question
7
7.
Identify the cumulative frequency of the given grouped data.
class interval
41 - 49
50 - 58
59 - 67
68 - 76
77 - 85
86 - 94
frequency
25
20
12
24
5
23
(i)
class interval
Cumulative Frequency
41 - 49
25
50 - 58
37
59 - 67
57
68 - 76
81
77 - 85
86
86 - 94
109
(ii)
class interval
Cumulative Frequency
41 - 49
25
50 - 58
45
59 - 67
57
68 - 76
85
77 - 85
90
86 - 94
113
(iii)
class interval
Cumulative Frequency
41 - 49
25
50 - 58
48
59 - 67
60
68 - 76
84
77 - 85
89
86 - 94
109
(iv)
class interval
Cumulative Frequency
41 - 49
25
50 - 58
45
59 - 67
52
68 - 76
76
77 - 85
81
86 - 94
104
(v)
class interval
Cumulative Frequency
41 - 49
25
50 - 58
45
59 - 67
57
68 - 76
81
77 - 85
86
86 - 94
109
Question
8
8.
Identify the cumulative frequency of the given grouped data.
class interval
45 - 54
54 - 63
63 - 72
72 - 81
81 - 90
90 - 99
99 - 108
frequency
16
10
20
21
8
14
17
(i)
class interval
Cumulative Frequency
45 - 54
16
54 - 63
33
63 - 72
53
72 - 81
74
81 - 90
82
90 - 99
96
99 - 108
106
(ii)
class interval
Cumulative Frequency
45 - 54
16
54 - 63
26
63 - 72
41
72 - 81
62
81 - 90
70
90 - 99
84
99 - 108
101
(iii)
class interval
Cumulative Frequency
45 - 54
16
54 - 63
26
63 - 72
46
72 - 81
67
81 - 90
75
90 - 99
89
99 - 108
106
(iv)
class interval
Cumulative Frequency
45 - 54
16
54 - 63
26
63 - 72
46
72 - 81
72
81 - 90
80
90 - 99
94
99 - 108
111
(v)
class interval
Cumulative Frequency
45 - 54
16
54 - 63
36
63 - 72
46
72 - 81
67
81 - 90
75
90 - 99
89
99 - 108
106
Question
9
9.
Given class interval table, find the sum of frequencies.
Class-Interval
47 - 56
56 - 65
65 - 74
74 - 83
Frequency
23
27
17
26
(i)
90
(ii)
94
(iii)
96
(iv)
92
(v)
93
Question
10
10.
Find the cumulative frequency of class
45
-
54
.
Class-Interval
25 - 34
35 - 44
45 - 54
55 - 64
Frequency
15
22
11
18
(i)
45
(ii)
51
(iii)
49
(iv)
48
(v)
47
Question
11
11.
Find the cumulative frequency of class
31
-
36
.
Class-Interval
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
51 - 56
Frequency
17
16
23
7
22
16
(i)
31
(ii)
34
(iii)
35
(iv)
33
(v)
32
Question
12
12.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
35 - 39
11
39 - 43
22
43 - 47
27
47 - 51
35
51 - 55
51
(i)
Class-Interval
35 - 39
39 - 43
43 - 47
47 - 51
51 - 55
Frequency
11
11
3
8
16
(ii)
Class-Interval
35 - 39
39 - 43
43 - 47
47 - 51
51 - 55
Frequency
11
5
11
8
16
(iii)
Class-Interval
35 - 39
39 - 43
43 - 47
47 - 51
51 - 55
Frequency
11
13
5
8
16
(iv)
Class-Interval
35 - 39
39 - 43
43 - 47
47 - 51
51 - 55
Frequency
11
11
5
8
16
(v)
Class-Interval
35 - 39
39 - 43
43 - 47
47 - 51
51 - 55
Frequency
11
16
5
8
11
Question
13
13.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
17 - 27
95
27 - 37
85
37 - 47
69
47 - 57
54
57 - 67
38
67 - 77
23
77 - 87
9
(i)
Class-Interval
17 - 27
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
Frequency
10
16
15
11
15
14
9
(ii)
Class-Interval
17 - 27
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
Frequency
10
16
15
16
15
14
9
(iii)
Class-Interval
17 - 27
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
Frequency
10
15
16
16
15
14
9
(iv)
Class-Interval
17 - 27
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
Frequency
10
9
15
16
15
14
16
(v)
Class-Interval
17 - 27
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
Frequency
10
16
17
16
15
14
9
Question
14
14.
During the medical check-up of 53 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is less than 60 kg
Class-Interval
36 - 44
44 - 52
52 - 60
60 - 68
68 - 76
76 - 84
Frequency
11
12
6
12
6
6
(i)
28
(ii)
30
(iii)
26
(iv)
29
(v)
31
Question
15
15.
During the medical check-up of 56 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is more than 41 kg
Class-Interval
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
81 - 91
Frequency
7
10
7
10
11
11
(i)
46
(ii)
49
(iii)
48
(iv)
51
(v)
50
Assignment Key
1) (v)
2) (v)
3) (ii)
4) (ii)
5) (ii)
6) (i)
7) (v)
8) (iii)
9) (v)
10) (iv)
11) (iv)
12) (iv)
13) (ii)
14) (iv)
15) (ii)
