EduSahara™ Assignment
Name : Cumulative Frequency
Chapter : Statistics
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
31 - 35
9
36 - 40
25
41 - 45
36
46 - 50
51
51 - 55
61
56 - 60
70
(i)
Class-Interval
31 - 35
36 - 40
41 - 45
46 - 50
51 - 55
56 - 60
Frequency
9
16
11
15
10
9
(ii)
Class-Interval
31 - 35
36 - 40
41 - 45
46 - 50
51 - 55
56 - 60
Frequency
9
9
11
15
10
16
(iii)
Class-Interval
31 - 35
36 - 40
41 - 45
46 - 50
51 - 55
56 - 60
Frequency
9
11
16
15
10
9
(iv)
Class-Interval
31 - 35
36 - 40
41 - 45
46 - 50
51 - 55
56 - 60
Frequency
9
16
6
15
10
9
(v)
Class-Interval
31 - 35
36 - 40
41 - 45
46 - 50
51 - 55
56 - 60
Frequency
9
16
11
10
10
9
Question
2
2.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
32 - 36
16
36 - 40
24
40 - 44
40
44 - 48
47
48 - 52
57
(i)
Class-Interval
32 - 36
36 - 40
40 - 44
44 - 48
48 - 52
Frequency
16
13
16
7
10
(ii)
Class-Interval
32 - 36
36 - 40
40 - 44
44 - 48
48 - 52
Frequency
16
16
8
7
10
(iii)
Class-Interval
32 - 36
36 - 40
40 - 44
44 - 48
48 - 52
Frequency
16
8
16
7
10
(iv)
Class-Interval
32 - 36
36 - 40
40 - 44
44 - 48
48 - 52
Frequency
16
8
14
7
10
(v)
Class-Interval
32 - 36
36 - 40
40 - 44
44 - 48
48 - 52
Frequency
16
10
16
7
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)
10 - 20
21 - 31
32 - 42
43 - 53
54 - 64
65 - 75
No. of Patients
90
13
42
88
75
38
(i)
Age (in years)
Cumulative Frequency
10 - 20
90
21 - 31
132
32 - 42
145
43 - 53
233
54 - 64
308
65 - 75
346
(ii)
Age (in years)
Cumulative Frequency
10 - 20
90
21 - 31
103
32 - 42
148
43 - 53
236
54 - 64
311
65 - 75
349
(iii)
Age (in years)
Cumulative Frequency
10 - 20
90
21 - 31
103
32 - 42
145
43 - 53
233
54 - 64
308
65 - 75
346
(iv)
Age (in years)
Cumulative Frequency
10 - 20
90
21 - 31
128
32 - 42
170
43 - 53
258
54 - 64
333
65 - 75
346
(v)
Age (in years)
Cumulative Frequency
10 - 20
90
21 - 31
103
32 - 42
145
43 - 53
231
54 - 64
306
65 - 75
344
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 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
No. of Patients
18
47
82
67
58
70
27
24
(i)
Age (in years)
Cumulative Frequency
10 - 15
18
15 - 20
65
20 - 25
147
25 - 30
214
30 - 35
269
35 - 40
339
40 - 45
366
45 - 50
390
(ii)
Age (in years)
Cumulative Frequency
10 - 15
18
15 - 20
42
20 - 25
124
25 - 30
191
30 - 35
249
35 - 40
319
40 - 45
346
45 - 50
393
(iii)
Age (in years)
Cumulative Frequency
10 - 15
18
15 - 20
65
20 - 25
152
25 - 30
219
30 - 35
277
35 - 40
347
40 - 45
374
45 - 50
398
(iv)
Age (in years)
Cumulative Frequency
10 - 15
18
15 - 20
65
20 - 25
147
25 - 30
214
30 - 35
272
35 - 40
342
40 - 45
369
45 - 50
393
(v)
Age (in years)
Cumulative Frequency
10 - 15
18
15 - 20
65
20 - 25
132
25 - 30
214
30 - 35
272
35 - 40
342
40 - 45
369
45 - 50
393
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
18
15
15
8
19
3
(i)
Wages (in rupees)
Cumulative Frequency
300 - 330
18
331 - 361
21
362 - 392
36
393 - 423
44
424 - 454
63
455 - 485
78
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 330
18
331 - 361
33
362 - 392
43
393 - 423
51
424 - 454
70
455 - 485
73
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 330
18
331 - 361
33
362 - 392
48
393 - 423
52
424 - 454
71
455 - 485
74
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 330
18
331 - 361
33
362 - 392
48
393 - 423
56
424 - 454
75
455 - 485
78
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)
200 - 240
240 - 280
280 - 320
320 - 360
360 - 400
400 - 440
Labourers
19
3
2
13
5
8
(i)
Wages (in rupees)
Cumulative Frequency
200 - 240
19
240 - 280
22
280 - 320
24
320 - 360
34
360 - 400
39
400 - 440
47
(ii)
Wages (in rupees)
Cumulative Frequency
200 - 240
19
240 - 280
22
280 - 320
24
320 - 360
37
360 - 400
42
400 - 440
50
(iii)
Wages (in rupees)
Cumulative Frequency
200 - 240
19
240 - 280
22
280 - 320
29
320 - 360
42
360 - 400
47
400 - 440
55
(iv)
Wages (in rupees)
Cumulative Frequency
200 - 240
19
240 - 280
27
280 - 320
29
320 - 360
42
360 - 400
47
400 - 440
50
(v)
Wages (in rupees)
Cumulative Frequency
200 - 240
19
240 - 280
21
280 - 320
24
320 - 360
37
360 - 400
42
400 - 440
50
Question
7
7.
Identify the cumulative frequency of the given grouped data.
class interval
29 - 37
38 - 46
47 - 55
56 - 64
65 - 73
74 - 82
83 - 91
92 - 100
frequency
18
22
19
12
20
6
8
12
(i)
class interval
Cumulative Frequency
29 - 37
18
38 - 46
40
47 - 55
59
56 - 64
71
65 - 73
89
74 - 82
95
83 - 91
103
92 - 100
115
(ii)
class interval
Cumulative Frequency
29 - 37
18
38 - 46
40
47 - 55
59
56 - 64
71
65 - 73
91
74 - 82
97
83 - 91
105
92 - 100
117
(iii)
class interval
Cumulative Frequency
29 - 37
18
38 - 46
40
47 - 55
56
56 - 64
68
65 - 73
88
74 - 82
94
83 - 91
102
92 - 100
114
(iv)
class interval
Cumulative Frequency
29 - 37
18
38 - 46
40
47 - 55
52
56 - 64
71
65 - 73
91
74 - 82
97
83 - 91
105
92 - 100
117
(v)
class interval
Cumulative Frequency
29 - 37
18
38 - 46
30
47 - 55
49
56 - 64
61
65 - 73
81
74 - 82
87
83 - 91
95
92 - 100
117
Question
8
8.
Identify the cumulative frequency of the given grouped data.
class interval
27 - 36
36 - 45
45 - 54
54 - 63
63 - 72
72 - 81
81 - 90
frequency
8
20
10
5
12
7
6
(i)
class interval
Cumulative Frequency
27 - 36
8
36 - 45
28
45 - 54
38
54 - 63
48
63 - 72
60
72 - 81
67
81 - 90
73
(ii)
class interval
Cumulative Frequency
27 - 36
8
36 - 45
28
45 - 54
41
54 - 63
46
63 - 72
58
72 - 81
65
81 - 90
71
(iii)
class interval
Cumulative Frequency
27 - 36
8
36 - 45
14
45 - 54
24
54 - 63
29
63 - 72
41
72 - 81
48
81 - 90
68
(iv)
class interval
Cumulative Frequency
27 - 36
8
36 - 45
18
45 - 54
38
54 - 63
43
63 - 72
55
72 - 81
62
81 - 90
68
(v)
class interval
Cumulative Frequency
27 - 36
8
36 - 45
28
45 - 54
38
54 - 63
43
63 - 72
55
72 - 81
62
81 - 90
68
Question
9
9.
Find the cumulative frequency of class
51
-
60
.
Class-Interval
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
Frequency
18
10
11
18
23
7
11
8
(i)
40
(ii)
39
(iii)
38
(iv)
41
(v)
36
Question
10
10.
Find the cumulative frequency of class
15
-
20
.
Class-Interval
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
Frequency
13
9
11
25
16
21
10
(i)
22
(ii)
20
(iii)
23
(iv)
25
(v)
21
Question
11
11.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
37 - 46
10
46 - 55
25
55 - 64
32
64 - 73
40
73 - 82
55
(i)
Class-Interval
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
Frequency
10
18
7
8
15
(ii)
Class-Interval
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
Frequency
10
7
15
8
15
(iii)
Class-Interval
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
Frequency
10
15
5
8
15
(iv)
Class-Interval
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
Frequency
10
15
7
8
15
Question
12
12.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
23 - 32
68
32 - 41
52
41 - 50
44
50 - 59
37
59 - 68
25
68 - 77
18
77 - 86
12
(i)
Class-Interval
23 - 32
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
Frequency
16
12
7
12
7
6
8
(ii)
Class-Interval
23 - 32
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
Frequency
16
8
10
12
7
6
12
(iii)
Class-Interval
23 - 32
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
Frequency
16
7
8
12
7
6
12
(iv)
Class-Interval
23 - 32
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
Frequency
16
8
7
12
7
6
12
(v)
Class-Interval
23 - 32
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
Frequency
16
8
7
7
7
6
12
Question
13
13.
During the medical check-up of 30 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is less than 59 kg
Class-Interval
35 - 43
43 - 51
51 - 59
59 - 67
Frequency
7
5
9
9
(i)
22
(ii)
18
(iii)
23
(iv)
21
(v)
20
Question
14
14.
During the medical check-up of 38 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is more than 35 kg
Class-Interval
30 - 35
35 - 40
40 - 45
45 - 50
Frequency
6
12
9
11
(i)
29
(ii)
35
(iii)
33
(iv)
32
(v)
31
Question
15
15.
Identify the class interval table for the given less than cumulative frequency table
Class-Interval
Cumulative Frequency
24 - 30
11
30 - 36
27
36 - 42
34
42 - 48
45
48 - 54
50
54 - 60
58
60 - 66
65
66 - 72
70
(i)
Class-Interval
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
66 - 72
Frequency
11
16
7
11
9
8
7
5
(ii)
Class-Interval
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
66 - 72
Frequency
11
16
11
7
5
8
7
5
(iii)
Class-Interval
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
66 - 72
Frequency
11
5
7
11
5
8
7
16
(iv)
Class-Interval
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
66 - 72
Frequency
11
16
7
11
5
8
7
5
(v)
Class-Interval
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
66 - 72
Frequency
11
16
11
11
5
8
7
5
Question
16
16.
Identify the class interval table for the given greater than cumulative frequency table
Class-Interval
Cumulative Frequency
33 - 40
59
40 - 47
51
47 - 54
38
54 - 61
27
61 - 68
13
(i)
Class-Interval
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
8
11
13
14
13
(ii)
Class-Interval
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
8
13
9
14
13
(iii)
Class-Interval
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
8
18
11
14
13
(iv)
Class-Interval
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
8
13
11
14
13
Assignment Key
1) (i)
2) (iii)
3) (iii)
4) (iv)
5) (iv)
6) (ii)
7) (ii)
8) (v)
9) (ii)
10) (i)
11) (iv)
12) (iv)
13) (iv)
14) (iv)
15) (iv)
16) (iv)
