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
21 - 26
16
27 - 32
30
33 - 38
36
39 - 44
46
45 - 50
51
51 - 56
59
57 - 62
70
(i)
Class-Interval
21 - 26
27 - 32
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
Frequency
16
14
9
10
5
8
11
(ii)
Class-Interval
21 - 26
27 - 32
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
Frequency
16
6
14
10
5
8
11
(iii)
Class-Interval
21 - 26
27 - 32
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
Frequency
16
14
6
10
5
8
11
(iv)
Class-Interval
21 - 26
27 - 32
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
Frequency
16
11
6
10
5
8
14
(v)
Class-Interval
21 - 26
27 - 32
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
Frequency
16
14
6
14
5
8
11
Question
2
2.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
32 - 39
12
39 - 46
20
46 - 53
33
53 - 60
39
60 - 67
49
67 - 74
54
(i)
Class-Interval
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
Frequency
12
5
13
6
10
8
(ii)
Class-Interval
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
Frequency
12
13
8
6
10
5
(iii)
Class-Interval
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
Frequency
12
8
13
6
10
5
(iv)
Class-Interval
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
Frequency
12
8
8
6
10
5
(v)
Class-Interval
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
Frequency
12
8
13
3
10
5
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
50 - 55
56 - 61
No. of Patients
30
20
68
63
77
84
79
(i)
Age (in years)
Cumulative Frequency
20 - 25
30
26 - 31
50
32 - 37
118
38 - 43
181
44 - 49
258
50 - 55
342
56 - 61
421
(ii)
Age (in years)
Cumulative Frequency
20 - 25
30
26 - 31
109
32 - 37
177
38 - 43
240
44 - 49
317
50 - 55
401
56 - 61
421
(iii)
Age (in years)
Cumulative Frequency
20 - 25
30
26 - 31
98
32 - 37
118
38 - 43
181
44 - 49
258
50 - 55
342
56 - 61
421
(iv)
Age (in years)
Cumulative Frequency
20 - 25
30
26 - 31
50
32 - 37
122
38 - 43
185
44 - 49
262
50 - 55
346
56 - 61
425
(v)
Age (in years)
Cumulative Frequency
20 - 25
30
26 - 31
50
32 - 37
118
38 - 43
179
44 - 49
256
50 - 55
340
56 - 61
419
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
35 - 40
40 - 45
45 - 50
No. of Patients
21
31
68
40
73
68
37
25
(i)
Age (in years)
Cumulative Frequency
10 - 15
21
15 - 20
52
20 - 25
116
25 - 30
156
30 - 35
229
35 - 40
297
40 - 45
334
45 - 50
359
(ii)
Age (in years)
Cumulative Frequency
10 - 15
21
15 - 20
46
20 - 25
114
25 - 30
154
30 - 35
227
35 - 40
295
40 - 45
332
45 - 50
363
(iii)
Age (in years)
Cumulative Frequency
10 - 15
21
15 - 20
52
20 - 25
120
25 - 30
160
30 - 35
233
35 - 40
301
40 - 45
338
45 - 50
363
(iv)
Age (in years)
Cumulative Frequency
10 - 15
21
15 - 20
52
20 - 25
120
25 - 30
160
30 - 35
238
35 - 40
306
40 - 45
343
45 - 50
368
(v)
Age (in years)
Cumulative Frequency
10 - 15
21
15 - 20
52
20 - 25
92
25 - 30
160
30 - 35
233
35 - 40
301
40 - 45
338
45 - 50
363
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
3
6
6
20
2
5
(i)
Wages (in rupees)
Cumulative Frequency
200 - 230
3
231 - 261
9
262 - 292
19
293 - 323
39
324 - 354
41
355 - 385
46
(ii)
Wages (in rupees)
Cumulative Frequency
200 - 230
3
231 - 261
9
262 - 292
15
293 - 323
35
324 - 354
37
355 - 385
42
(iii)
Wages (in rupees)
Cumulative Frequency
200 - 230
3
231 - 261
8
262 - 292
14
293 - 323
34
324 - 354
36
355 - 385
42
(iv)
Wages (in rupees)
Cumulative Frequency
200 - 230
3
231 - 261
9
262 - 292
15
293 - 323
39
324 - 354
41
355 - 385
46
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
20
8
15
7
4
(i)
Wages (in rupees)
Cumulative Frequency
300 - 340
19
340 - 380
27
380 - 420
47
420 - 460
62
460 - 500
69
500 - 540
73
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 340
19
340 - 380
23
380 - 420
31
420 - 460
46
460 - 500
53
500 - 540
73
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 340
19
340 - 380
39
380 - 420
47
420 - 460
64
460 - 500
71
500 - 540
75
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 340
19
340 - 380
39
380 - 420
47
420 - 460
62
460 - 500
69
500 - 540
73
(v)
Wages (in rupees)
Cumulative Frequency
300 - 340
19
340 - 380
39
380 - 420
49
420 - 460
64
460 - 500
71
500 - 540
75
Question
7
7.
Identify the cumulative frequency of the given grouped data.
class interval
23 - 29
30 - 36
37 - 43
44 - 50
51 - 57
58 - 64
frequency
8
17
6
7
13
14
(i)
class interval
Cumulative Frequency
23 - 29
8
30 - 36
25
37 - 43
31
44 - 50
36
51 - 57
49
58 - 64
63
(ii)
class interval
Cumulative Frequency
23 - 29
8
30 - 36
14
37 - 43
31
44 - 50
38
51 - 57
51
58 - 64
65
(iii)
class interval
Cumulative Frequency
23 - 29
8
30 - 36
25
37 - 43
31
44 - 50
38
51 - 57
51
58 - 64
65
(iv)
class interval
Cumulative Frequency
23 - 29
8
30 - 36
22
37 - 43
28
44 - 50
35
51 - 57
48
58 - 64
65
(v)
class interval
Cumulative Frequency
23 - 29
8
30 - 36
25
37 - 43
26
44 - 50
33
51 - 57
46
58 - 64
60
Question
8
8.
Identify the cumulative frequency of the given grouped data.
class interval
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
66 - 73
73 - 80
frequency
9
16
24
23
21
8
22
11
(i)
class interval
Cumulative Frequency
24 - 31
9
31 - 38
25
38 - 45
44
45 - 52
67
52 - 59
88
59 - 66
96
66 - 73
118
73 - 80
129
(ii)
class interval
Cumulative Frequency
24 - 31
9
31 - 38
25
38 - 45
49
45 - 52
72
52 - 59
89
59 - 66
97
66 - 73
119
73 - 80
130
(iii)
class interval
Cumulative Frequency
24 - 31
9
31 - 38
25
38 - 45
48
45 - 52
72
52 - 59
93
59 - 66
101
66 - 73
123
73 - 80
134
(iv)
class interval
Cumulative Frequency
24 - 31
9
31 - 38
25
38 - 45
49
45 - 52
72
52 - 59
93
59 - 66
101
66 - 73
123
73 - 80
134
(v)
class interval
Cumulative Frequency
24 - 31
9
31 - 38
20
38 - 45
44
45 - 52
67
52 - 59
88
59 - 66
96
66 - 73
118
73 - 80
134
Question
9
9.
Find the cumulative frequency of class
83
-
90
.
Class-Interval
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
75 - 82
83 - 90
91 - 98
Frequency
20
5
14
23
22
17
12
22
(i)
111
(ii)
112
(iii)
114
(iv)
115
(v)
113
Question
10
10.
Find the cumulative frequency of class
75
-
84
.
Class-Interval
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
Frequency
9
23
13
9
17
(i)
57
(ii)
53
(iii)
52
(iv)
55
(v)
54
Question
11
11.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
10 - 19
5
19 - 28
20
28 - 37
33
37 - 46
40
46 - 55
49
55 - 64
55
64 - 73
67
73 - 82
82
(i)
Class-Interval
10 - 19
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
Frequency
5
15
7
13
9
6
12
15
(ii)
Class-Interval
10 - 19
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
Frequency
5
15
11
7
9
6
12
15
(iii)
Class-Interval
10 - 19
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
Frequency
5
15
13
7
9
6
12
15
(iv)
Class-Interval
10 - 19
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
Frequency
5
15
13
7
6
6
12
15
Question
12
12.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
22 - 27
78
27 - 32
64
32 - 37
57
37 - 42
48
42 - 47
32
47 - 52
23
52 - 57
16
57 - 62
6
(i)
Class-Interval
22 - 27
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
Frequency
14
7
16
9
9
7
10
6
(ii)
Class-Interval
22 - 27
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
Frequency
14
7
9
16
9
7
10
6
(iii)
Class-Interval
22 - 27
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
Frequency
14
7
9
16
6
7
10
6
(iv)
Class-Interval
22 - 27
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
Frequency
14
7
6
16
9
7
10
6
(v)
Class-Interval
22 - 27
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
Frequency
14
6
9
16
9
7
10
7
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 48 kg
Class-Interval
36 - 42
42 - 48
48 - 54
54 - 60
Frequency
10
10
6
11
(i)
23
(ii)
18
(iii)
21
(iv)
19
(v)
20
Question
14
14.
During the medical check-up of 65 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is more than 76 kg
Class-Interval
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
76 - 83
Frequency
12
11
9
7
7
7
12
(i)
13
(ii)
11
(iii)
9
(iv)
12
(v)
15
Assignment Key
1) (iii)
2) (iii)
3) (i)
4) (iii)
5) (ii)
6) (iv)
7) (iii)
8) (iv)
9) (v)
10) (v)
11) (iii)
12) (ii)
13) (v)
14) (iv)
