EduSahara™ Assignment
Name : Cumulative Frequency Distribution
Chapter : Frequency Distribution
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
19 - 25
7
26 - 32
21
33 - 39
28
40 - 46
35
47 - 53
46
54 - 60
52
61 - 67
63
68 - 74
79
(i)
Class-Interval
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
Frequency
7
16
7
7
11
6
11
14
(ii)
Class-Interval
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
Frequency
7
14
4
7
11
6
11
16
(iii)
Class-Interval
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
Frequency
7
14
7
7
9
6
11
16
(iv)
Class-Interval
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
Frequency
7
14
7
7
11
6
11
16
Question
2
2.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
26 - 32
6
32 - 38
19
38 - 44
28
44 - 50
39
50 - 56
47
(i)
Class-Interval
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
Frequency
6
9
9
11
8
(ii)
Class-Interval
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
Frequency
6
8
9
11
13
(iii)
Class-Interval
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
Frequency
6
13
13
11
8
(iv)
Class-Interval
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
Frequency
6
9
13
11
8
(v)
Class-Interval
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
Frequency
6
13
9
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)
10 - 20
21 - 31
32 - 42
43 - 53
54 - 64
65 - 75
76 - 86
87 - 97
No. of Patients
72
30
69
44
44
26
86
53
(i)
Age (in years)
Cumulative Frequency
10 - 20
72
21 - 31
102
32 - 42
146
43 - 53
215
54 - 64
259
65 - 75
285
76 - 86
371
87 - 97
424
(ii)
Age (in years)
Cumulative Frequency
10 - 20
72
21 - 31
102
32 - 42
171
43 - 53
215
54 - 64
259
65 - 75
285
76 - 86
371
87 - 97
424
(iii)
Age (in years)
Cumulative Frequency
10 - 20
72
21 - 31
125
32 - 42
194
43 - 53
238
54 - 64
282
65 - 75
308
76 - 86
394
87 - 97
424
(iv)
Age (in years)
Cumulative Frequency
10 - 20
72
21 - 31
102
32 - 42
173
43 - 53
217
54 - 64
261
65 - 75
287
76 - 86
373
87 - 97
426
(v)
Age (in years)
Cumulative Frequency
10 - 20
72
21 - 31
102
32 - 42
171
43 - 53
215
54 - 64
262
65 - 75
288
76 - 86
374
87 - 97
427
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
No. of Patients
12
48
13
69
(i)
Age (in years)
Cumulative Frequency
10 - 15
69
15 - 20
117
20 - 25
130
25 - 30
142
(ii)
Age (in years)
Cumulative Frequency
10 - 15
12
15 - 20
65
20 - 25
78
25 - 30
147
(iii)
Age (in years)
Cumulative Frequency
10 - 15
12
15 - 20
60
20 - 25
78
25 - 30
147
(iv)
Age (in years)
Cumulative Frequency
10 - 15
12
15 - 20
60
20 - 25
73
25 - 30
142
(v)
Age (in years)
Cumulative Frequency
10 - 15
12
15 - 20
25
20 - 25
73
25 - 30
142
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
14
16
9
3
19
6
(i)
Wages (in rupees)
Cumulative Frequency
200 - 230
14
231 - 261
23
262 - 292
39
293 - 323
42
324 - 354
61
355 - 385
67
(ii)
Wages (in rupees)
Cumulative Frequency
200 - 230
14
231 - 261
30
262 - 292
39
293 - 323
46
324 - 354
65
355 - 385
71
(iii)
Wages (in rupees)
Cumulative Frequency
200 - 230
14
231 - 261
30
262 - 292
42
293 - 323
45
324 - 354
64
355 - 385
70
(iv)
Wages (in rupees)
Cumulative Frequency
200 - 230
14
231 - 261
20
262 - 292
29
293 - 323
32
324 - 354
51
355 - 385
67
(v)
Wages (in rupees)
Cumulative Frequency
200 - 230
14
231 - 261
30
262 - 292
39
293 - 323
42
324 - 354
61
355 - 385
67
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
19
5
11
17
12
1
(i)
Wages (in rupees)
Cumulative Frequency
300 - 340
19
340 - 380
30
380 - 420
35
420 - 460
52
460 - 500
64
500 - 540
65
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 340
19
340 - 380
24
380 - 420
35
420 - 460
52
460 - 500
64
500 - 540
65
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 340
19
340 - 380
24
380 - 420
35
420 - 460
47
460 - 500
59
500 - 540
60
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 340
19
340 - 380
24
380 - 420
39
420 - 460
56
460 - 500
68
500 - 540
69
(v)
Wages (in rupees)
Cumulative Frequency
300 - 340
19
340 - 380
20
380 - 420
31
420 - 460
48
460 - 500
60
500 - 540
65
Question
7
7.
Identify the cumulative frequency of the given grouped data.
class interval
49 - 54
55 - 60
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
91 - 96
frequency
19
6
23
6
17
19
23
17
(i)
class interval
Cumulative Frequency
49 - 54
19
55 - 60
25
61 - 66
48
67 - 72
54
73 - 78
66
79 - 84
85
85 - 90
108
91 - 96
125
(ii)
class interval
Cumulative Frequency
49 - 54
19
55 - 60
25
61 - 66
31
67 - 72
54
73 - 78
71
79 - 84
90
85 - 90
113
91 - 96
130
(iii)
class interval
Cumulative Frequency
49 - 54
19
55 - 60
36
61 - 66
59
67 - 72
65
73 - 78
82
79 - 84
101
85 - 90
124
91 - 96
130
(iv)
class interval
Cumulative Frequency
49 - 54
19
55 - 60
25
61 - 66
48
67 - 72
54
73 - 78
71
79 - 84
90
85 - 90
113
91 - 96
130
(v)
class interval
Cumulative Frequency
49 - 54
19
55 - 60
25
61 - 66
52
67 - 72
58
73 - 78
75
79 - 84
94
85 - 90
117
91 - 96
134
Question
8
8.
Identify the cumulative frequency of the given grouped data.
class interval
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
92 - 102
102 - 112
frequency
17
13
23
15
17
9
6
(i)
class interval
Cumulative Frequency
42 - 52
17
52 - 62
30
62 - 72
53
72 - 82
73
82 - 92
90
92 - 102
99
102 - 112
105
(ii)
class interval
Cumulative Frequency
42 - 52
17
52 - 62
23
62 - 72
46
72 - 82
61
82 - 92
78
92 - 102
87
102 - 112
100
(iii)
class interval
Cumulative Frequency
42 - 52
17
52 - 62
30
62 - 72
53
72 - 82
68
82 - 92
85
92 - 102
94
102 - 112
100
(iv)
class interval
Cumulative Frequency
42 - 52
17
52 - 62
30
62 - 72
48
72 - 82
63
82 - 92
80
92 - 102
89
102 - 112
95
(v)
class interval
Cumulative Frequency
42 - 52
17
52 - 62
40
62 - 72
53
72 - 82
68
82 - 92
85
92 - 102
94
102 - 112
100
Question
9
9.
Find the cumulative frequency of class
60
-
67
.
Class-Interval
28 - 35
36 - 43
44 - 51
52 - 59
60 - 67
Frequency
12
21
25
25
10
(i)
94
(ii)
90
(iii)
92
(iv)
95
(v)
93
Question
10
10.
Find the cumulative frequency of class
28
-
35
.
Class-Interval
14 - 21
21 - 28
28 - 35
35 - 42
42 - 49
Frequency
14
16
6
24
18
(i)
34
(ii)
36
(iii)
35
(iv)
37
(v)
38
Question
11
11.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
14 - 19
13
19 - 24
26
24 - 29
31
29 - 34
42
34 - 39
57
(i)
Class-Interval
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
Frequency
13
5
13
11
15
(ii)
Class-Interval
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
Frequency
13
13
10
11
15
(iii)
Class-Interval
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
Frequency
13
16
5
11
15
(iv)
Class-Interval
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
Frequency
13
13
5
11
15
(v)
Class-Interval
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
Frequency
13
15
5
11
13
Question
12
12.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
21 - 27
93
27 - 33
81
33 - 39
68
39 - 45
56
45 - 51
44
51 - 57
35
57 - 63
27
63 - 69
14
(i)
Class-Interval
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
63 - 69
Frequency
12
13
12
12
9
8
13
14
(ii)
Class-Interval
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
63 - 69
Frequency
12
14
12
12
9
8
13
13
(iii)
Class-Interval
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
63 - 69
Frequency
12
13
12
12
6
8
13
14
(iv)
Class-Interval
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
63 - 69
Frequency
12
13
14
12
9
8
13
14
Question
13
13.
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 less than 46 kg
Class-Interval
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
Frequency
6
5
5
6
5
11
(i)
12
(ii)
11
(iii)
10
(iv)
8
(v)
13
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 59 kg
Class-Interval
32 - 41
41 - 50
50 - 59
59 - 68
Frequency
11
12
8
7
(i)
10
(ii)
4
(iii)
8
(iv)
6
(v)
7
Assignment Key
1) (iv)
2) (v)
3) (ii)
4) (iv)
5) (v)
6) (ii)
7) (iv)
8) (iii)
9) (v)
10) (ii)
11) (iv)
12) (i)
13) (ii)
14) (v)
