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
26 - 35
14
36 - 45
21
46 - 55
36
56 - 65
52
66 - 75
63
76 - 85
69
(i)
Class-Interval
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
76 - 85
Frequency
14
15
7
16
11
6
(ii)
Class-Interval
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
76 - 85
Frequency
14
7
15
12
11
6
(iii)
Class-Interval
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
76 - 85
Frequency
14
7
15
16
11
6
(iv)
Class-Interval
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
76 - 85
Frequency
14
7
12
16
11
6
(v)
Class-Interval
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
76 - 85
Frequency
14
6
15
16
11
7
Question
2
2.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
40 - 48
6
48 - 56
22
56 - 64
34
64 - 72
47
72 - 80
52
80 - 88
65
88 - 96
79
(i)
Class-Interval
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
Frequency
6
14
12
13
5
13
16
(ii)
Class-Interval
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
Frequency
6
16
12
13
5
13
14
(iii)
Class-Interval
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
Frequency
6
16
17
13
5
13
14
(iv)
Class-Interval
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
Frequency
6
12
16
13
5
13
14
(v)
Class-Interval
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
Frequency
6
16
12
16
5
13
14
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 - 30
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
No. of Patients
21
83
74
12
66
65
(i)
Age (in years)
Cumulative Frequency
20 - 30
21
31 - 41
104
42 - 52
182
53 - 63
194
64 - 74
260
75 - 85
325
(ii)
Age (in years)
Cumulative Frequency
20 - 30
21
31 - 41
95
42 - 52
178
53 - 63
190
64 - 74
256
75 - 85
321
(iii)
Age (in years)
Cumulative Frequency
20 - 30
21
31 - 41
104
42 - 52
178
53 - 63
190
64 - 74
256
75 - 85
321
(iv)
Age (in years)
Cumulative Frequency
20 - 30
21
31 - 41
86
42 - 52
160
53 - 63
172
64 - 74
238
75 - 85
321
(v)
Age (in years)
Cumulative Frequency
20 - 30
21
31 - 41
104
42 - 52
178
53 - 63
193
64 - 74
259
75 - 85
324
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
86
61
21
43
80
(i)
Age (in years)
Cumulative Frequency
10 - 20
86
20 - 30
107
30 - 40
168
40 - 50
211
50 - 60
291
(ii)
Age (in years)
Cumulative Frequency
10 - 20
86
20 - 30
166
30 - 40
187
40 - 50
230
50 - 60
291
(iii)
Age (in years)
Cumulative Frequency
10 - 20
86
20 - 30
150
30 - 40
171
40 - 50
214
50 - 60
294
(iv)
Age (in years)
Cumulative Frequency
10 - 20
86
20 - 30
147
30 - 40
168
40 - 50
211
50 - 60
291
(v)
Age (in years)
Cumulative Frequency
10 - 20
86
20 - 30
147
30 - 40
173
40 - 50
216
50 - 60
296
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
20
20
13
17
17
14
(i)
Wages (in rupees)
Cumulative Frequency
300 - 340
20
341 - 381
40
382 - 422
53
423 - 463
67
464 - 504
84
505 - 545
98
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 340
20
341 - 381
33
382 - 422
53
423 - 463
70
464 - 504
87
505 - 545
101
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 340
20
341 - 381
40
382 - 422
53
423 - 463
70
464 - 504
87
505 - 545
101
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 340
20
341 - 381
40
382 - 422
49
423 - 463
66
464 - 504
83
505 - 545
97
(v)
Wages (in rupees)
Cumulative Frequency
300 - 340
20
341 - 381
34
382 - 422
47
423 - 463
64
464 - 504
81
505 - 545
101
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
15
1
3
17
8
5
(i)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
340 - 380
18
380 - 420
19
420 - 460
36
460 - 500
44
500 - 540
49
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
340 - 380
20
380 - 420
23
420 - 460
40
460 - 500
48
500 - 540
49
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
340 - 380
16
380 - 420
19
420 - 460
40
460 - 500
48
500 - 540
53
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
340 - 380
16
380 - 420
21
420 - 460
38
460 - 500
46
500 - 540
51
(v)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
340 - 380
16
380 - 420
19
420 - 460
36
460 - 500
44
500 - 540
49
Question
7
7.
Identify the cumulative frequency of the given grouped data.
class interval
17 - 24
25 - 32
33 - 40
41 - 48
49 - 56
57 - 64
frequency
9
22
20
18
20
20
(i)
class interval
Cumulative Frequency
17 - 24
9
25 - 32
31
33 - 40
51
41 - 48
69
49 - 56
89
57 - 64
109
(ii)
class interval
Cumulative Frequency
17 - 24
9
25 - 32
31
33 - 40
49
41 - 48
67
49 - 56
87
57 - 64
107
(iii)
class interval
Cumulative Frequency
17 - 24
9
25 - 32
29
33 - 40
51
41 - 48
69
49 - 56
89
57 - 64
109
(iv)
class interval
Cumulative Frequency
17 - 24
9
25 - 32
29
33 - 40
49
41 - 48
67
49 - 56
87
57 - 64
109
(v)
class interval
Cumulative Frequency
17 - 24
9
25 - 32
31
33 - 40
51
41 - 48
64
49 - 56
84
57 - 64
104
Question
8
8.
Identify the cumulative frequency of the given grouped data.
class interval
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
76 - 83
83 - 90
frequency
25
19
15
20
22
16
11
15
(i)
class interval
Cumulative Frequency
34 - 41
25
41 - 48
44
48 - 55
59
55 - 62
79
62 - 69
106
69 - 76
122
76 - 83
133
83 - 90
148
(ii)
class interval
Cumulative Frequency
34 - 41
25
41 - 48
44
48 - 55
54
55 - 62
74
62 - 69
96
69 - 76
112
76 - 83
123
83 - 90
138
(iii)
class interval
Cumulative Frequency
34 - 41
25
41 - 48
44
48 - 55
64
55 - 62
79
62 - 69
101
69 - 76
117
76 - 83
128
83 - 90
143
(iv)
class interval
Cumulative Frequency
34 - 41
25
41 - 48
40
48 - 55
55
55 - 62
75
62 - 69
97
69 - 76
113
76 - 83
124
83 - 90
143
(v)
class interval
Cumulative Frequency
34 - 41
25
41 - 48
44
48 - 55
59
55 - 62
79
62 - 69
101
69 - 76
117
76 - 83
128
83 - 90
143
Question
9
9.
Find the cumulative frequency of class
103
-
113
.
Class-Interval
48 - 58
59 - 69
70 - 80
81 - 91
92 - 102
103 - 113
114 - 124
Frequency
12
17
7
17
13
23
20
(i)
89
(ii)
90
(iii)
87
(iv)
88
(v)
91
Question
10
10.
Find the cumulative frequency of class
28
-
33
.
Class-Interval
18 - 23
23 - 28
28 - 33
33 - 38
Frequency
10
7
15
18
(i)
31
(ii)
30
(iii)
32
(iv)
33
(v)
35
Question
11
11.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
40 - 45
8
45 - 50
18
50 - 55
26
55 - 60
35
60 - 65
47
65 - 70
60
70 - 75
69
(i)
Class-Interval
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
Frequency
8
8
10
9
12
13
9
(ii)
Class-Interval
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
Frequency
8
10
8
9
12
13
9
(iii)
Class-Interval
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
Frequency
8
10
8
5
12
13
9
(iv)
Class-Interval
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
Frequency
8
10
3
9
12
13
9
(v)
Class-Interval
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
Frequency
8
9
8
9
12
13
10
Question
12
12.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
29 - 39
53
39 - 49
40
49 - 59
27
59 - 69
21
69 - 79
15
79 - 89
10
(i)
Class-Interval
29 - 39
39 - 49
49 - 59
59 - 69
69 - 79
79 - 89
Frequency
13
10
6
6
5
13
(ii)
Class-Interval
29 - 39
39 - 49
49 - 59
59 - 69
69 - 79
79 - 89
Frequency
13
6
13
6
5
10
(iii)
Class-Interval
29 - 39
39 - 49
49 - 59
59 - 69
69 - 79
79 - 89
Frequency
13
13
6
11
5
10
(iv)
Class-Interval
29 - 39
39 - 49
49 - 59
59 - 69
69 - 79
79 - 89
Frequency
13
13
6
6
5
10
(v)
Class-Interval
29 - 39
39 - 49
49 - 59
59 - 69
69 - 79
79 - 89
Frequency
13
13
11
6
5
10
Question
13
13.
During the medical check-up of 45 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is less than 40 kg
Class-Interval
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
Frequency
5
9
11
11
9
(i)
15
(ii)
16
(iii)
12
(iv)
13
(v)
14
Question
14
14.
During the medical check-up of 51 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is more than 61 kg
Class-Interval
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
79 - 88
88 - 97
Frequency
5
11
5
6
8
5
11
(i)
30
(ii)
27
(iii)
31
(iv)
29
(v)
33
Question
15
15.
Identify the class interval table for the given less than cumulative frequency table
Class-Interval
Cumulative Frequency
31 - 35
13
35 - 39
21
39 - 43
27
43 - 47
42
47 - 51
52
51 - 55
60
(i)
Class-Interval
31 - 35
35 - 39
39 - 43
43 - 47
47 - 51
51 - 55
Frequency
13
8
9
15
10
8
(ii)
Class-Interval
31 - 35
35 - 39
39 - 43
43 - 47
47 - 51
51 - 55
Frequency
13
8
6
12
10
8
(iii)
Class-Interval
31 - 35
35 - 39
39 - 43
43 - 47
47 - 51
51 - 55
Frequency
13
8
6
15
10
8
(iv)
Class-Interval
31 - 35
35 - 39
39 - 43
43 - 47
47 - 51
51 - 55
Frequency
13
6
8
15
10
8
Question
16
16.
Identify the class interval table for the given greater than cumulative frequency table
Class-Interval
Cumulative Frequency
35 - 40
79
40 - 45
73
45 - 50
63
50 - 55
52
55 - 60
46
60 - 65
37
65 - 70
26
70 - 75
11
(i)
Class-Interval
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
Frequency
6
10
11
6
7
11
15
11
(ii)
Class-Interval
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
Frequency
6
10
13
6
9
11
15
11
(iii)
Class-Interval
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
Frequency
6
10
6
11
9
11
15
11
(iv)
Class-Interval
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
Frequency
6
11
11
6
9
11
15
10
(v)
Class-Interval
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
Frequency
6
10
11
6
9
11
15
11
Assignment Key
1) (iii)
2) (ii)
3) (iii)
4) (iv)
5) (iii)
6) (v)
7) (i)
8) (v)
9) (i)
10) (iii)
11) (ii)
12) (iv)
13) (v)
14) (i)
15) (iii)
16) (v)
