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
13 - 18
6
18 - 23
21
23 - 28
37
28 - 33
49
33 - 38
56
38 - 43
70
43 - 48
75
(i)
Class-Interval
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
Frequency
6
15
18
12
7
14
5
(ii)
Class-Interval
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
Frequency
6
15
16
14
7
14
5
(iii)
Class-Interval
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
Frequency
6
5
16
12
7
14
15
(iv)
Class-Interval
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
Frequency
6
15
16
12
7
14
5
(v)
Class-Interval
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
Frequency
6
16
15
12
7
14
5
Question
2
2.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
24 - 29
5
30 - 35
16
36 - 41
24
42 - 47
40
48 - 53
52
(i)
Class-Interval
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
Frequency
5
12
8
16
11
(ii)
Class-Interval
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
Frequency
5
8
8
16
12
(iii)
Class-Interval
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
Frequency
5
11
12
16
12
(iv)
Class-Interval
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
Frequency
5
11
8
16
12
(v)
Class-Interval
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
Frequency
5
8
11
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)
10 - 20
21 - 31
32 - 42
43 - 53
54 - 64
No. of Patients
35
35
30
44
82
(i)
Age (in years)
Cumulative Frequency
10 - 20
35
21 - 31
70
32 - 42
95
43 - 53
139
54 - 64
221
(ii)
Age (in years)
Cumulative Frequency
10 - 20
35
21 - 31
65
32 - 42
95
43 - 53
139
54 - 64
221
(iii)
Age (in years)
Cumulative Frequency
10 - 20
35
21 - 31
117
32 - 42
147
43 - 53
191
54 - 64
226
(iv)
Age (in years)
Cumulative Frequency
10 - 20
35
21 - 31
65
32 - 42
100
43 - 53
144
54 - 64
226
(v)
Age (in years)
Cumulative Frequency
10 - 20
35
21 - 31
70
32 - 42
100
43 - 53
144
54 - 64
226
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 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
No. of Patients
77
17
30
79
18
71
(i)
Age (in years)
Cumulative Frequency
20 - 25
77
25 - 30
94
30 - 35
121
35 - 40
200
40 - 45
218
45 - 50
289
(ii)
Age (in years)
Cumulative Frequency
20 - 25
77
25 - 30
94
30 - 35
124
35 - 40
199
40 - 45
217
45 - 50
288
(iii)
Age (in years)
Cumulative Frequency
20 - 25
77
25 - 30
148
30 - 35
178
35 - 40
257
40 - 45
275
45 - 50
292
(iv)
Age (in years)
Cumulative Frequency
20 - 25
77
25 - 30
107
30 - 35
124
35 - 40
203
40 - 45
221
45 - 50
292
(v)
Age (in years)
Cumulative Frequency
20 - 25
77
25 - 30
94
30 - 35
124
35 - 40
203
40 - 45
221
45 - 50
292
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 - 330
331 - 361
362 - 392
393 - 423
424 - 454
455 - 485
Labourers
20
3
12
18
11
11
(i)
Wages (in rupees)
Cumulative Frequency
300 - 330
20
331 - 361
23
362 - 392
32
393 - 423
50
424 - 454
61
455 - 485
72
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 330
20
331 - 361
31
362 - 392
43
393 - 423
61
424 - 454
72
455 - 485
75
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 330
20
331 - 361
23
362 - 392
35
393 - 423
56
424 - 454
67
455 - 485
78
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 330
20
331 - 361
23
362 - 392
35
393 - 423
53
424 - 454
64
455 - 485
75
(v)
Wages (in rupees)
Cumulative Frequency
300 - 330
20
331 - 361
32
362 - 392
35
393 - 423
53
424 - 454
64
455 - 485
75
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
13
7
13
2
1
15
(i)
Wages (in rupees)
Cumulative Frequency
300 - 320
13
320 - 340
20
340 - 360
33
360 - 380
38
380 - 400
39
400 - 420
54
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 320
13
320 - 340
20
340 - 360
33
360 - 380
35
380 - 400
36
400 - 420
51
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 320
13
320 - 340
20
340 - 360
38
360 - 380
40
380 - 400
41
400 - 420
56
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 320
13
320 - 340
26
340 - 360
33
360 - 380
35
380 - 400
36
400 - 420
51
(v)
Wages (in rupees)
Cumulative Frequency
300 - 320
13
320 - 340
28
340 - 360
41
360 - 380
43
380 - 400
44
400 - 420
51
Question
7
7.
Identify the cumulative frequency of the given grouped data.
class interval
34 - 39
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
70 - 75
frequency
23
10
12
8
20
14
8
(i)
class interval
Cumulative Frequency
34 - 39
23
40 - 45
33
46 - 51
45
52 - 57
53
58 - 63
73
64 - 69
87
70 - 75
95
(ii)
class interval
Cumulative Frequency
34 - 39
23
40 - 45
33
46 - 51
47
52 - 57
55
58 - 63
75
64 - 69
89
70 - 75
97
(iii)
class interval
Cumulative Frequency
34 - 39
23
40 - 45
35
46 - 51
45
52 - 57
53
58 - 63
73
64 - 69
87
70 - 75
95
(iv)
class interval
Cumulative Frequency
34 - 39
23
40 - 45
31
46 - 51
43
52 - 57
51
58 - 63
71
64 - 69
85
70 - 75
95
(v)
class interval
Cumulative Frequency
34 - 39
23
40 - 45
33
46 - 51
45
52 - 57
48
58 - 63
68
64 - 69
82
70 - 75
90
Question
8
8.
Identify the cumulative frequency of the given grouped data.
class interval
35 - 42
42 - 49
49 - 56
56 - 63
63 - 70
70 - 77
frequency
8
14
17
17
19
10
(i)
class interval
Cumulative Frequency
35 - 42
8
42 - 49
22
49 - 56
39
56 - 63
59
63 - 70
78
70 - 77
88
(ii)
class interval
Cumulative Frequency
35 - 42
8
42 - 49
25
49 - 56
39
56 - 63
56
63 - 70
75
70 - 77
85
(iii)
class interval
Cumulative Frequency
35 - 42
8
42 - 49
22
49 - 56
39
56 - 63
56
63 - 70
75
70 - 77
85
(iv)
class interval
Cumulative Frequency
35 - 42
8
42 - 49
22
49 - 56
42
56 - 63
59
63 - 70
78
70 - 77
88
(v)
class interval
Cumulative Frequency
35 - 42
8
42 - 49
18
49 - 56
35
56 - 63
52
63 - 70
71
70 - 77
85
Question
9
9.
Given class interval table, find the sum of frequencies.
Class-Interval
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
Frequency
8
23
20
20
9
4
2
13
(i)
98
(ii)
96
(iii)
99
(iv)
101
(v)
100
Question
10
10.
Find the cumulative frequency of class
46
-
56
.
Class-Interval
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
Frequency
14
22
22
21
13
(i)
33
(ii)
35
(iii)
37
(iv)
38
(v)
36
Question
11
11.
Find the cumulative frequency of class
62
-
72
.
Class-Interval
22 - 32
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
92 - 102
Frequency
25
24
21
12
13
17
11
11
(i)
92
(ii)
96
(iii)
95
(iv)
98
(v)
94
Question
12
12.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
19 - 28
10
28 - 37
21
37 - 46
35
46 - 55
45
55 - 64
51
(i)
Class-Interval
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
Frequency
10
11
10
10
6
(ii)
Class-Interval
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
Frequency
10
11
14
10
6
(iii)
Class-Interval
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
Frequency
10
14
11
10
6
(iv)
Class-Interval
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
Frequency
10
6
14
10
11
(v)
Class-Interval
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
Frequency
10
15
14
10
6
Question
13
13.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
13 - 20
65
20 - 27
54
27 - 34
38
34 - 41
23
41 - 48
17
48 - 55
10
(i)
Class-Interval
13 - 20
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
Frequency
11
10
15
6
7
16
(ii)
Class-Interval
13 - 20
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
Frequency
11
16
11
6
7
10
(iii)
Class-Interval
13 - 20
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
Frequency
11
16
15
6
7
10
(iv)
Class-Interval
13 - 20
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
Frequency
11
15
16
6
7
10
(v)
Class-Interval
13 - 20
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
Frequency
11
16
15
1
7
10
Question
14
14.
During the medical check-up of 67 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is less than 81 kg
Class-Interval
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
74 - 81
81 - 88
Frequency
11
12
9
12
10
8
5
(i)
64
(ii)
59
(iii)
63
(iv)
62
(v)
61
Question
15
15.
During the medical check-up of 31 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is more than 47 kg
Class-Interval
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
9
5
5
12
(i)
25
(ii)
23
(iii)
22
(iv)
21
(v)
20
Assignment Key
1) (iv)
2) (iv)
3) (v)
4) (v)
5) (iv)
6) (ii)
7) (i)
8) (iii)
9) (iii)
10) (v)
11) (iii)
12) (ii)
13) (iii)
14) (iv)
15) (iii)
