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
32 - 38
7
39 - 45
17
46 - 52
28
53 - 59
36
60 - 66
43
(i)
Class-Interval
32 - 38
39 - 45
46 - 52
53 - 59
60 - 66
Frequency
7
10
11
8
7
(ii)
Class-Interval
32 - 38
39 - 45
46 - 52
53 - 59
60 - 66
Frequency
7
11
10
8
7
(iii)
Class-Interval
32 - 38
39 - 45
46 - 52
53 - 59
60 - 66
Frequency
7
10
6
8
7
(iv)
Class-Interval
32 - 38
39 - 45
46 - 52
53 - 59
60 - 66
Frequency
7
7
11
8
10
(v)
Class-Interval
32 - 38
39 - 45
46 - 52
53 - 59
60 - 66
Frequency
7
13
11
8
7
Question
2
2.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
36 - 43
13
43 - 50
24
50 - 57
36
57 - 64
46
64 - 71
55
71 - 78
70
(i)
Class-Interval
36 - 43
43 - 50
50 - 57
57 - 64
64 - 71
71 - 78
Frequency
13
11
10
10
9
15
(ii)
Class-Interval
36 - 43
43 - 50
50 - 57
57 - 64
64 - 71
71 - 78
Frequency
13
15
12
10
9
11
(iii)
Class-Interval
36 - 43
43 - 50
50 - 57
57 - 64
64 - 71
71 - 78
Frequency
13
12
11
10
9
15
(iv)
Class-Interval
36 - 43
43 - 50
50 - 57
57 - 64
64 - 71
71 - 78
Frequency
13
11
12
10
9
15
(v)
Class-Interval
36 - 43
43 - 50
50 - 57
57 - 64
64 - 71
71 - 78
Frequency
13
11
12
8
9
15
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
80
46
24
24
13
(i)
Age (in years)
Cumulative Frequency
10 - 20
80
21 - 31
104
32 - 42
150
43 - 53
174
54 - 64
187
(ii)
Age (in years)
Cumulative Frequency
10 - 20
80
21 - 31
122
32 - 42
146
43 - 53
170
54 - 64
183
(iii)
Age (in years)
Cumulative Frequency
10 - 20
80
21 - 31
126
32 - 42
146
43 - 53
170
54 - 64
183
(iv)
Age (in years)
Cumulative Frequency
10 - 20
80
21 - 31
126
32 - 42
150
43 - 53
174
54 - 64
187
(v)
Age (in years)
Cumulative Frequency
10 - 20
80
21 - 31
93
32 - 42
117
43 - 53
141
54 - 64
187
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
50 - 55
55 - 60
No. of Patients
85
45
23
68
12
52
51
82
(i)
Age (in years)
Cumulative Frequency
20 - 25
85
25 - 30
130
30 - 35
148
35 - 40
216
40 - 45
228
45 - 50
280
50 - 55
331
55 - 60
413
(ii)
Age (in years)
Cumulative Frequency
20 - 25
85
25 - 30
130
30 - 35
153
35 - 40
221
40 - 45
233
45 - 50
285
50 - 55
336
55 - 60
418
(iii)
Age (in years)
Cumulative Frequency
20 - 25
85
25 - 30
130
30 - 35
153
35 - 40
221
40 - 45
231
45 - 50
283
50 - 55
334
55 - 60
416
(iv)
Age (in years)
Cumulative Frequency
20 - 25
85
25 - 30
130
30 - 35
198
35 - 40
221
40 - 45
233
45 - 50
285
50 - 55
336
55 - 60
418
(v)
Age (in years)
Cumulative Frequency
20 - 25
85
25 - 30
167
30 - 35
190
35 - 40
258
40 - 45
270
45 - 50
322
50 - 55
373
55 - 60
418
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 - 320
321 - 341
342 - 362
363 - 383
384 - 404
405 - 425
Labourers
14
4
19
6
18
4
(i)
Wages (in rupees)
Cumulative Frequency
300 - 320
14
321 - 341
18
342 - 362
33
363 - 383
39
384 - 404
57
405 - 425
61
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 320
14
321 - 341
33
342 - 362
37
363 - 383
43
384 - 404
61
405 - 425
65
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 320
14
321 - 341
18
342 - 362
37
363 - 383
40
384 - 404
58
405 - 425
62
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 320
14
321 - 341
18
342 - 362
37
363 - 383
43
384 - 404
61
405 - 425
65
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
17
19
11
17
7
2
(i)
Wages (in rupees)
Cumulative Frequency
300 - 320
17
320 - 340
19
340 - 360
30
360 - 380
47
380 - 400
54
400 - 420
73
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 320
17
320 - 340
36
340 - 360
47
360 - 380
64
380 - 400
71
400 - 420
73
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 320
17
320 - 340
28
340 - 360
47
360 - 380
64
380 - 400
71
400 - 420
73
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 320
17
320 - 340
36
340 - 360
51
360 - 380
68
380 - 400
75
400 - 420
77
(v)
Wages (in rupees)
Cumulative Frequency
300 - 320
17
320 - 340
36
340 - 360
47
360 - 380
68
380 - 400
75
400 - 420
77
Question
7
7.
Identify the cumulative frequency of the given grouped data.
class interval
20 - 26
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
69 - 75
frequency
18
16
20
9
25
25
18
14
(i)
class interval
Cumulative Frequency
20 - 26
18
27 - 33
32
34 - 40
52
41 - 47
61
48 - 54
86
55 - 61
111
62 - 68
129
69 - 75
145
(ii)
class interval
Cumulative Frequency
20 - 26
18
27 - 33
34
34 - 40
58
41 - 47
67
48 - 54
92
55 - 61
117
62 - 68
135
69 - 75
149
(iii)
class interval
Cumulative Frequency
20 - 26
18
27 - 33
34
34 - 40
43
41 - 47
63
48 - 54
88
55 - 61
113
62 - 68
131
69 - 75
145
(iv)
class interval
Cumulative Frequency
20 - 26
18
27 - 33
34
34 - 40
54
41 - 47
63
48 - 54
83
55 - 61
108
62 - 68
126
69 - 75
140
(v)
class interval
Cumulative Frequency
20 - 26
18
27 - 33
34
34 - 40
54
41 - 47
63
48 - 54
88
55 - 61
113
62 - 68
131
69 - 75
145
Question
8
8.
Identify the cumulative frequency of the given grouped data.
class interval
44 - 50
50 - 56
56 - 62
62 - 68
68 - 74
frequency
6
25
23
24
11
(i)
class interval
Cumulative Frequency
44 - 50
6
50 - 56
31
56 - 62
59
62 - 68
83
68 - 74
94
(ii)
class interval
Cumulative Frequency
44 - 50
6
50 - 56
33
56 - 62
56
62 - 68
80
68 - 74
91
(iii)
class interval
Cumulative Frequency
44 - 50
6
50 - 56
29
56 - 62
54
62 - 68
78
68 - 74
89
(iv)
class interval
Cumulative Frequency
44 - 50
6
50 - 56
17
56 - 62
40
62 - 68
64
68 - 74
89
(v)
class interval
Cumulative Frequency
44 - 50
6
50 - 56
31
56 - 62
54
62 - 68
78
68 - 74
89
Question
9
9.
Find the cumulative frequency of class
86
-
95
.
Class-Interval
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
76 - 85
86 - 95
Frequency
9
8
19
12
19
24
5
(i)
97
(ii)
95
(iii)
96
(iv)
99
(v)
93
Question
10
10.
Find the cumulative frequency of class
29
-
34
.
Class-Interval
14 - 19
19 - 24
24 - 29
29 - 34
Frequency
7
14
21
14
(i)
58
(ii)
53
(iii)
57
(iv)
56
(v)
55
Question
11
11.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
31 - 36
12
36 - 41
19
41 - 46
35
46 - 51
50
51 - 56
61
56 - 61
69
61 - 66
82
66 - 71
89
(i)
Class-Interval
31 - 36
36 - 41
41 - 46
46 - 51
51 - 56
56 - 61
61 - 66
66 - 71
Frequency
12
7
16
15
8
8
13
7
(ii)
Class-Interval
31 - 36
36 - 41
41 - 46
46 - 51
51 - 56
56 - 61
61 - 66
66 - 71
Frequency
12
7
15
16
11
8
13
7
(iii)
Class-Interval
31 - 36
36 - 41
41 - 46
46 - 51
51 - 56
56 - 61
61 - 66
66 - 71
Frequency
12
7
14
15
11
8
13
7
(iv)
Class-Interval
31 - 36
36 - 41
41 - 46
46 - 51
51 - 56
56 - 61
61 - 66
66 - 71
Frequency
12
7
16
15
11
8
13
7
Question
12
12.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
20 - 26
71
26 - 32
61
32 - 38
56
38 - 44
41
44 - 50
25
50 - 56
15
56 - 62
7
(i)
Class-Interval
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
Frequency
10
5
18
16
10
8
7
(ii)
Class-Interval
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
Frequency
10
5
15
16
10
8
7
(iii)
Class-Interval
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
Frequency
10
5
15
14
10
8
7
(iv)
Class-Interval
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
Frequency
10
15
5
16
10
8
7
(v)
Class-Interval
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
Frequency
10
7
15
16
10
8
5
Question
13
13.
During the medical check-up of 37 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
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
Frequency
8
11
7
6
5
(i)
26
(ii)
24
(iii)
27
(iv)
25
(v)
29
Question
14
14.
During the medical check-up of 55 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
32 - 37
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
62 - 67
Frequency
12
7
5
7
5
9
10
(i)
32
(ii)
33
(iii)
29
(iv)
30
(v)
31
Question
15
15.
Identify the class interval table for the given less than cumulative frequency table
Class-Interval
Cumulative Frequency
32 - 41
11
41 - 50
22
50 - 59
27
59 - 68
33
68 - 77
47
77 - 86
57
(i)
Class-Interval
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
Frequency
11
11
2
6
14
10
(ii)
Class-Interval
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
Frequency
11
11
5
6
14
10
(iii)
Class-Interval
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
Frequency
11
11
5
8
14
10
(iv)
Class-Interval
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
Frequency
11
5
11
6
14
10
(v)
Class-Interval
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
Frequency
11
10
5
6
14
11
Question
16
16.
Identify the class interval table for the given greater than cumulative frequency table
Class-Interval
Cumulative Frequency
37 - 43
51
43 - 49
42
49 - 55
31
55 - 61
18
61 - 67
12
(i)
Class-Interval
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
Frequency
9
13
11
6
12
(ii)
Class-Interval
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
Frequency
9
12
13
6
11
(iii)
Class-Interval
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
Frequency
9
7
13
6
12
(iv)
Class-Interval
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
Frequency
9
11
10
6
12
(v)
Class-Interval
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
Frequency
9
11
13
6
12
Assignment Key
1) (i)
2) (iv)
3) (iv)
4) (ii)
5) (iv)
6) (ii)
7) (v)
8) (v)
9) (iii)
10) (iv)
11) (iv)
12) (ii)
13) (i)
14) (v)
15) (ii)
16) (v)
