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
19 - 28
9
29 - 38
15
39 - 48
28
49 - 58
40
59 - 68
53
69 - 78
62
79 - 88
70
89 - 98
81
(i)
Class-Interval
19 - 28
29 - 38
39 - 48
49 - 58
59 - 68
69 - 78
79 - 88
89 - 98
Frequency
9
6
12
13
13
9
8
11
(ii)
Class-Interval
19 - 28
29 - 38
39 - 48
49 - 58
59 - 68
69 - 78
79 - 88
89 - 98
Frequency
9
6
13
12
13
9
8
11
(iii)
Class-Interval
19 - 28
29 - 38
39 - 48
49 - 58
59 - 68
69 - 78
79 - 88
89 - 98
Frequency
9
11
13
12
13
9
8
6
(iv)
Class-Interval
19 - 28
29 - 38
39 - 48
49 - 58
59 - 68
69 - 78
79 - 88
89 - 98
Frequency
9
6
13
12
8
9
8
11
(v)
Class-Interval
19 - 28
29 - 38
39 - 48
49 - 58
59 - 68
69 - 78
79 - 88
89 - 98
Frequency
9
6
17
12
13
9
8
11
Question
2
2.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
15 - 19
7
19 - 23
20
23 - 27
27
27 - 31
35
31 - 35
48
(i)
Class-Interval
15 - 19
19 - 23
23 - 27
27 - 31
31 - 35
Frequency
7
13
2
8
13
(ii)
Class-Interval
15 - 19
19 - 23
23 - 27
27 - 31
31 - 35
Frequency
7
13
7
8
13
(iii)
Class-Interval
15 - 19
19 - 23
23 - 27
27 - 31
31 - 35
Frequency
7
7
13
8
13
(iv)
Class-Interval
15 - 19
19 - 23
23 - 27
27 - 31
31 - 35
Frequency
7
17
7
8
13
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 - 15
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
46 - 51
No. of Patients
52
14
17
18
57
76
22
(i)
Age (in years)
Cumulative Frequency
10 - 15
52
16 - 21
74
22 - 27
91
28 - 33
109
34 - 39
166
40 - 45
242
46 - 51
256
(ii)
Age (in years)
Cumulative Frequency
10 - 15
52
16 - 21
69
22 - 27
83
28 - 33
101
34 - 39
158
40 - 45
234
46 - 51
256
(iii)
Age (in years)
Cumulative Frequency
10 - 15
52
16 - 21
66
22 - 27
83
28 - 33
101
34 - 39
158
40 - 45
234
46 - 51
256
(iv)
Age (in years)
Cumulative Frequency
10 - 15
52
16 - 21
66
22 - 27
78
28 - 33
96
34 - 39
153
40 - 45
229
46 - 51
251
(v)
Age (in years)
Cumulative Frequency
10 - 15
52
16 - 21
66
22 - 27
83
28 - 33
103
34 - 39
160
40 - 45
236
46 - 51
258
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
76
32
36
66
13
11
86
58
(i)
Age (in years)
Cumulative Frequency
20 - 25
76
25 - 30
134
30 - 35
170
35 - 40
236
40 - 45
249
45 - 50
260
50 - 55
346
55 - 60
378
(ii)
Age (in years)
Cumulative Frequency
20 - 25
76
25 - 30
108
30 - 35
174
35 - 40
210
40 - 45
223
45 - 50
234
50 - 55
320
55 - 60
378
(iii)
Age (in years)
Cumulative Frequency
20 - 25
76
25 - 30
108
30 - 35
144
35 - 40
210
40 - 45
223
45 - 50
234
50 - 55
320
55 - 60
378
(iv)
Age (in years)
Cumulative Frequency
20 - 25
76
25 - 30
108
30 - 35
141
35 - 40
207
40 - 45
220
45 - 50
231
50 - 55
317
55 - 60
375
(v)
Age (in years)
Cumulative Frequency
20 - 25
76
25 - 30
108
30 - 35
144
35 - 40
210
40 - 45
228
45 - 50
239
50 - 55
325
55 - 60
383
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 - 230
231 - 261
262 - 292
293 - 323
324 - 354
355 - 385
Labourers
9
16
9
19
14
16
(i)
Wages (in rupees)
Cumulative Frequency
200 - 230
9
231 - 261
25
262 - 292
34
293 - 323
49
324 - 354
63
355 - 385
79
(ii)
Wages (in rupees)
Cumulative Frequency
200 - 230
9
231 - 261
18
262 - 292
34
293 - 323
53
324 - 354
67
355 - 385
83
(iii)
Wages (in rupees)
Cumulative Frequency
200 - 230
9
231 - 261
25
262 - 292
34
293 - 323
53
324 - 354
67
355 - 385
83
(iv)
Wages (in rupees)
Cumulative Frequency
200 - 230
9
231 - 261
25
262 - 292
38
293 - 323
57
324 - 354
71
355 - 385
87
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
1
9
11
17
9
7
(i)
Wages (in rupees)
Cumulative Frequency
300 - 340
1
340 - 380
8
380 - 420
19
420 - 460
36
460 - 500
45
500 - 540
54
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 340
1
340 - 380
10
380 - 420
25
420 - 460
42
460 - 500
51
500 - 540
58
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 340
1
340 - 380
12
380 - 420
21
420 - 460
38
460 - 500
47
500 - 540
54
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 340
1
340 - 380
10
380 - 420
21
420 - 460
38
460 - 500
47
500 - 540
54
(v)
Wages (in rupees)
Cumulative Frequency
300 - 340
1
340 - 380
10
380 - 420
21
420 - 460
41
460 - 500
50
500 - 540
57
Question
7
7.
Identify the cumulative frequency of the given grouped data.
class interval
44 - 54
55 - 65
66 - 76
77 - 87
88 - 98
99 - 109
110 - 120
frequency
14
5
25
12
21
17
16
(i)
class interval
Cumulative Frequency
44 - 54
14
55 - 65
19
66 - 76
44
77 - 87
56
88 - 98
77
99 - 109
94
110 - 120
110
(ii)
class interval
Cumulative Frequency
44 - 54
14
55 - 65
30
66 - 76
55
77 - 87
67
88 - 98
88
99 - 109
105
110 - 120
110
(iii)
class interval
Cumulative Frequency
44 - 54
14
55 - 65
39
66 - 76
44
77 - 87
56
88 - 98
77
99 - 109
94
110 - 120
110
(iv)
class interval
Cumulative Frequency
44 - 54
14
55 - 65
19
66 - 76
44
77 - 87
53
88 - 98
74
99 - 109
91
110 - 120
107
(v)
class interval
Cumulative Frequency
44 - 54
14
55 - 65
19
66 - 76
47
77 - 87
59
88 - 98
80
99 - 109
97
110 - 120
113
Question
8
8.
Identify the cumulative frequency of the given grouped data.
class interval
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
74 - 83
83 - 92
frequency
17
18
13
21
24
10
12
(i)
class interval
Cumulative Frequency
29 - 38
17
38 - 47
35
47 - 56
48
56 - 65
65
65 - 74
89
74 - 83
99
83 - 92
111
(ii)
class interval
Cumulative Frequency
29 - 38
17
38 - 47
30
47 - 56
48
56 - 65
69
65 - 74
93
74 - 83
103
83 - 92
115
(iii)
class interval
Cumulative Frequency
29 - 38
17
38 - 47
35
47 - 56
48
56 - 65
69
65 - 74
93
74 - 83
103
83 - 92
115
(iv)
class interval
Cumulative Frequency
29 - 38
17
38 - 47
35
47 - 56
43
56 - 65
64
65 - 74
88
74 - 83
98
83 - 92
110
(v)
class interval
Cumulative Frequency
29 - 38
17
38 - 47
29
47 - 56
42
56 - 65
63
65 - 74
87
74 - 83
97
83 - 92
115
Question
9
9.
Find the cumulative frequency of class
74
-
80
.
Class-Interval
39 - 45
46 - 52
53 - 59
60 - 66
67 - 73
74 - 80
Frequency
23
23
24
25
22
10
(i)
125
(ii)
126
(iii)
127
(iv)
130
(v)
128
Question
10
10.
Find the cumulative frequency of class
47
-
54
.
Class-Interval
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
24
22
25
22
(i)
45
(ii)
43
(iii)
49
(iv)
47
(v)
46
Question
11
11.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
19 - 23
16
23 - 27
25
27 - 31
33
31 - 35
42
35 - 39
51
39 - 43
59
43 - 47
69
(i)
Class-Interval
19 - 23
23 - 27
27 - 31
31 - 35
35 - 39
39 - 43
43 - 47
Frequency
16
10
8
9
9
8
9
(ii)
Class-Interval
19 - 23
23 - 27
27 - 31
31 - 35
35 - 39
39 - 43
43 - 47
Frequency
16
9
8
7
9
8
10
(iii)
Class-Interval
19 - 23
23 - 27
27 - 31
31 - 35
35 - 39
39 - 43
43 - 47
Frequency
16
9
8
9
9
8
10
(iv)
Class-Interval
19 - 23
23 - 27
27 - 31
31 - 35
35 - 39
39 - 43
43 - 47
Frequency
16
9
10
9
9
8
10
(v)
Class-Interval
19 - 23
23 - 27
27 - 31
31 - 35
35 - 39
39 - 43
43 - 47
Frequency
16
8
9
9
9
8
10
Question
12
12.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
12 - 20
77
20 - 28
69
28 - 36
60
36 - 44
44
44 - 52
30
52 - 60
17
60 - 68
8
(i)
Class-Interval
12 - 20
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
Frequency
8
8
16
14
13
9
9
(ii)
Class-Interval
12 - 20
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
Frequency
8
16
9
14
13
9
8
(iii)
Class-Interval
12 - 20
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
Frequency
8
9
12
14
13
9
8
(iv)
Class-Interval
12 - 20
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
Frequency
8
9
16
19
13
9
8
(v)
Class-Interval
12 - 20
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
Frequency
8
9
16
14
13
9
8
Question
13
13.
During the medical check-up of 66 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is less than 56 kg
Class-Interval
36 - 46
46 - 56
56 - 66
66 - 76
76 - 86
86 - 96
Frequency
12
10
12
11
9
12
(i)
25
(ii)
22
(iii)
23
(iv)
19
(v)
21
Question
14
14.
During the medical check-up of 63 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is more than 60 kg
Class-Interval
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
66 - 72
72 - 78
Frequency
6
5
8
6
9
10
12
7
(i)
28
(ii)
30
(iii)
29
(iv)
32
(v)
27
Question
15
15.
Identify the class interval table for the given less than cumulative frequency table
Class-Interval
Cumulative Frequency
35 - 42
15
42 - 49
28
49 - 56
38
56 - 63
52
63 - 70
62
(i)
Class-Interval
35 - 42
42 - 49
49 - 56
56 - 63
63 - 70
Frequency
15
10
10
14
13
(ii)
Class-Interval
35 - 42
42 - 49
49 - 56
56 - 63
63 - 70
Frequency
15
13
12
14
10
(iii)
Class-Interval
35 - 42
42 - 49
49 - 56
56 - 63
63 - 70
Frequency
15
13
10
14
10
(iv)
Class-Interval
35 - 42
42 - 49
49 - 56
56 - 63
63 - 70
Frequency
15
10
13
14
10
(v)
Class-Interval
35 - 42
42 - 49
49 - 56
56 - 63
63 - 70
Frequency
15
15
10
14
10
Question
16
16.
Identify the class interval table for the given greater than cumulative frequency table
Class-Interval
Cumulative Frequency
35 - 39
57
39 - 43
51
43 - 47
40
47 - 51
33
51 - 55
23
55 - 59
11
(i)
Class-Interval
35 - 39
39 - 43
43 - 47
47 - 51
51 - 55
55 - 59
Frequency
6
11
9
10
12
11
(ii)
Class-Interval
35 - 39
39 - 43
43 - 47
47 - 51
51 - 55
55 - 59
Frequency
6
11
7
14
12
11
(iii)
Class-Interval
35 - 39
39 - 43
43 - 47
47 - 51
51 - 55
55 - 59
Frequency
6
11
7
10
12
11
(iv)
Class-Interval
35 - 39
39 - 43
43 - 47
47 - 51
51 - 55
55 - 59
Frequency
6
7
11
10
12
11
Assignment Key
1) (ii)
2) (ii)
3) (iii)
4) (iii)
5) (iii)
6) (iv)
7) (i)
8) (iii)
9) (iii)
10) (v)
11) (iii)
12) (v)
13) (ii)
14) (iii)
15) (iii)
16) (iii)
