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
13 - 20
13
21 - 28
28
29 - 36
42
37 - 44
56
45 - 52
69
53 - 60
74
(i)
Class-Interval
13 - 20
21 - 28
29 - 36
37 - 44
45 - 52
53 - 60
Frequency
13
15
14
14
13
5
(ii)
Class-Interval
13 - 20
21 - 28
29 - 36
37 - 44
45 - 52
53 - 60
Frequency
13
5
14
14
13
15
(iii)
Class-Interval
13 - 20
21 - 28
29 - 36
37 - 44
45 - 52
53 - 60
Frequency
13
15
18
14
13
5
(iv)
Class-Interval
13 - 20
21 - 28
29 - 36
37 - 44
45 - 52
53 - 60
Frequency
13
15
14
18
13
5
(v)
Class-Interval
13 - 20
21 - 28
29 - 36
37 - 44
45 - 52
53 - 60
Frequency
13
14
15
14
13
5
Question
2
2.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
40 - 50
13
50 - 60
27
60 - 70
33
70 - 80
47
80 - 90
58
90 - 100
66
(i)
Class-Interval
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
Frequency
13
14
6
16
11
8
(ii)
Class-Interval
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
Frequency
13
8
6
14
11
14
(iii)
Class-Interval
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
Frequency
13
14
8
14
11
8
(iv)
Class-Interval
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
Frequency
13
14
6
14
11
8
(v)
Class-Interval
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
Frequency
13
6
14
14
11
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)
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
No. of Patients
85
71
51
54
13
(i)
Age (in years)
Cumulative Frequency
20 - 25
85
26 - 31
152
32 - 37
203
38 - 43
257
44 - 49
270
(ii)
Age (in years)
Cumulative Frequency
20 - 25
85
26 - 31
136
32 - 37
207
38 - 43
261
44 - 49
274
(iii)
Age (in years)
Cumulative Frequency
20 - 25
85
26 - 31
98
32 - 37
149
38 - 43
203
44 - 49
274
(iv)
Age (in years)
Cumulative Frequency
20 - 25
85
26 - 31
156
32 - 37
203
38 - 43
257
44 - 49
270
(v)
Age (in years)
Cumulative Frequency
20 - 25
85
26 - 31
156
32 - 37
207
38 - 43
261
44 - 49
274
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
No. of Patients
48
47
76
12
83
(i)
Age (in years)
Cumulative Frequency
10 - 15
48
15 - 20
124
20 - 25
171
25 - 30
183
30 - 35
266
(ii)
Age (in years)
Cumulative Frequency
10 - 15
48
15 - 20
131
20 - 25
207
25 - 30
219
30 - 35
266
(iii)
Age (in years)
Cumulative Frequency
10 - 15
48
15 - 20
95
20 - 25
171
25 - 30
183
30 - 35
266
(iv)
Age (in years)
Cumulative Frequency
10 - 15
48
15 - 20
97
20 - 25
173
25 - 30
185
30 - 35
268
(v)
Age (in years)
Cumulative Frequency
10 - 15
48
15 - 20
95
20 - 25
173
25 - 30
185
30 - 35
268
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 - 240
241 - 281
282 - 322
323 - 363
364 - 404
405 - 445
Labourers
8
9
16
3
12
15
(i)
Wages (in rupees)
Cumulative Frequency
200 - 240
8
241 - 281
23
282 - 322
39
323 - 363
42
364 - 404
54
405 - 445
63
(ii)
Wages (in rupees)
Cumulative Frequency
200 - 240
8
241 - 281
17
282 - 322
33
323 - 363
36
364 - 404
48
405 - 445
63
(iii)
Wages (in rupees)
Cumulative Frequency
200 - 240
8
241 - 281
24
282 - 322
33
323 - 363
36
364 - 404
48
405 - 445
63
(iv)
Wages (in rupees)
Cumulative Frequency
200 - 240
8
241 - 281
17
282 - 322
29
323 - 363
32
364 - 404
44
405 - 445
59
(v)
Wages (in rupees)
Cumulative Frequency
200 - 240
8
241 - 281
17
282 - 322
33
323 - 363
38
364 - 404
50
405 - 445
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 - 340
340 - 380
380 - 420
420 - 460
460 - 500
500 - 540
Labourers
18
11
16
7
1
18
(i)
Wages (in rupees)
Cumulative Frequency
300 - 340
18
340 - 380
29
380 - 420
43
420 - 460
50
460 - 500
51
500 - 540
69
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 340
18
340 - 380
29
380 - 420
45
420 - 460
55
460 - 500
56
500 - 540
74
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 340
18
340 - 380
29
380 - 420
45
420 - 460
52
460 - 500
53
500 - 540
71
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 340
18
340 - 380
36
380 - 420
52
420 - 460
59
460 - 500
60
500 - 540
71
(v)
Wages (in rupees)
Cumulative Frequency
300 - 340
18
340 - 380
34
380 - 420
45
420 - 460
52
460 - 500
53
500 - 540
71
Question
7
7.
Identify the cumulative frequency of the given grouped data.
class interval
21 - 26
27 - 32
33 - 38
39 - 44
45 - 50
51 - 56
frequency
25
6
8
19
13
18
(i)
class interval
Cumulative Frequency
21 - 26
25
27 - 32
31
33 - 38
39
39 - 44
61
45 - 50
74
51 - 56
92
(ii)
class interval
Cumulative Frequency
21 - 26
25
27 - 32
43
33 - 38
51
39 - 44
70
45 - 50
83
51 - 56
89
(iii)
class interval
Cumulative Frequency
21 - 26
25
27 - 32
33
33 - 38
39
39 - 44
58
45 - 50
71
51 - 56
89
(iv)
class interval
Cumulative Frequency
21 - 26
25
27 - 32
31
33 - 38
36
39 - 44
55
45 - 50
68
51 - 56
86
(v)
class interval
Cumulative Frequency
21 - 26
25
27 - 32
31
33 - 38
39
39 - 44
58
45 - 50
71
51 - 56
89
Question
8
8.
Identify the cumulative frequency of the given grouped data.
class interval
36 - 41
41 - 46
46 - 51
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
frequency
17
8
22
9
21
9
25
24
(i)
class interval
Cumulative Frequency
36 - 41
17
41 - 46
25
46 - 51
42
51 - 56
51
56 - 61
72
61 - 66
81
66 - 71
106
71 - 76
130
(ii)
class interval
Cumulative Frequency
36 - 41
17
41 - 46
25
46 - 51
34
51 - 56
56
56 - 61
77
61 - 66
86
66 - 71
111
71 - 76
135
(iii)
class interval
Cumulative Frequency
36 - 41
17
41 - 46
25
46 - 51
47
51 - 56
56
56 - 61
77
61 - 66
86
66 - 71
111
71 - 76
135
(iv)
class interval
Cumulative Frequency
36 - 41
17
41 - 46
25
46 - 51
47
51 - 56
56
56 - 61
75
61 - 66
84
66 - 71
109
71 - 76
133
(v)
class interval
Cumulative Frequency
36 - 41
17
41 - 46
41
46 - 51
63
51 - 56
72
56 - 61
93
61 - 66
102
66 - 71
127
71 - 76
135
Question
9
9.
Find the cumulative frequency of class
53
-
60
.
Class-Interval
37 - 44
45 - 52
53 - 60
61 - 68
69 - 76
Frequency
25
13
16
23
9
(i)
56
(ii)
54
(iii)
52
(iv)
53
(v)
55
Question
10
10.
Find the cumulative frequency of class
59
-
69
.
Class-Interval
29 - 39
39 - 49
49 - 59
59 - 69
69 - 79
Frequency
25
12
23
18
14
(i)
81
(ii)
78
(iii)
76
(iv)
77
(v)
79
Question
11
11.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
29 - 37
5
37 - 45
21
45 - 53
27
53 - 61
42
61 - 69
48
69 - 77
59
(i)
Class-Interval
29 - 37
37 - 45
45 - 53
53 - 61
61 - 69
69 - 77
Frequency
5
6
16
15
6
11
(ii)
Class-Interval
29 - 37
37 - 45
45 - 53
53 - 61
61 - 69
69 - 77
Frequency
5
16
6
13
6
11
(iii)
Class-Interval
29 - 37
37 - 45
45 - 53
53 - 61
61 - 69
69 - 77
Frequency
5
16
6
15
6
11
(iv)
Class-Interval
29 - 37
37 - 45
45 - 53
53 - 61
61 - 69
69 - 77
Frequency
5
11
6
15
6
16
(v)
Class-Interval
29 - 37
37 - 45
45 - 53
53 - 61
61 - 69
69 - 77
Frequency
5
16
11
15
6
11
Question
12
12.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
24 - 31
68
31 - 38
62
38 - 45
47
45 - 52
37
52 - 59
30
59 - 66
25
66 - 73
14
73 - 80
9
(i)
Class-Interval
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
66 - 73
73 - 80
Frequency
6
9
10
7
5
11
5
15
(ii)
Class-Interval
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
66 - 73
73 - 80
Frequency
6
15
10
7
5
11
5
9
(iii)
Class-Interval
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
66 - 73
73 - 80
Frequency
6
15
6
7
5
11
5
9
(iv)
Class-Interval
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
66 - 73
73 - 80
Frequency
6
15
7
10
5
11
5
9
(v)
Class-Interval
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
66 - 73
73 - 80
Frequency
6
15
10
7
9
11
5
9
Question
13
13.
During the medical check-up of 71 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is less than 55 kg
Class-Interval
39 - 47
47 - 55
55 - 63
63 - 71
71 - 79
79 - 87
87 - 95
Frequency
10
11
10
11
10
8
11
(i)
20
(ii)
21
(iii)
22
(iv)
19
(v)
23
Question
14
14.
During the medical check-up of 34 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is more than 57 kg
Class-Interval
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
Frequency
5
6
6
9
8
(i)
24
(ii)
23
(iii)
20
(iv)
22
(v)
26
Question
15
15.
Identify the class interval table for the given less than cumulative frequency table
Class-Interval
Cumulative Frequency
13 - 20
12
20 - 27
28
27 - 34
43
34 - 41
53
41 - 48
67
48 - 55
75
55 - 62
91
62 - 69
99
(i)
Class-Interval
13 - 20
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
Frequency
12
16
15
10
14
8
16
8
(ii)
Class-Interval
13 - 20
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
Frequency
12
16
19
10
14
8
16
8
(iii)
Class-Interval
13 - 20
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
Frequency
12
16
10
15
14
8
16
8
(iv)
Class-Interval
13 - 20
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
Frequency
12
16
15
10
12
8
16
8
(v)
Class-Interval
13 - 20
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
Frequency
12
8
15
10
14
8
16
16
Question
16
16.
Identify the class interval table for the given greater than cumulative frequency table
Class-Interval
Cumulative Frequency
28 - 35
56
35 - 42
45
42 - 49
32
49 - 56
22
56 - 63
11
(i)
Class-Interval
28 - 35
35 - 42
42 - 49
49 - 56
56 - 63
Frequency
11
11
10
11
11
(ii)
Class-Interval
28 - 35
35 - 42
42 - 49
49 - 56
56 - 63
Frequency
11
10
13
11
11
(iii)
Class-Interval
28 - 35
35 - 42
42 - 49
49 - 56
56 - 63
Frequency
11
11
10
11
13
(iv)
Class-Interval
28 - 35
35 - 42
42 - 49
49 - 56
56 - 63
Frequency
11
13
10
11
11
(v)
Class-Interval
28 - 35
35 - 42
42 - 49
49 - 56
56 - 63
Frequency
11
13
12
11
11
Assignment Key
1) (i)
2) (iv)
3) (v)
4) (iii)
5) (ii)
6) (iii)
7) (v)
8) (iii)
9) (ii)
10) (ii)
11) (iii)
12) (ii)
13) (ii)
14) (ii)
15) (i)
16) (iv)
