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
30 - 40
8
41 - 51
23
52 - 62
30
63 - 73
41
74 - 84
47
85 - 95
62
(i)
Class-Interval
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
Frequency
8
15
11
11
6
15
(ii)
Class-Interval
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
Frequency
8
7
15
11
6
15
(iii)
Class-Interval
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
Frequency
8
15
7
11
6
15
(iv)
Class-Interval
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
85 - 95
Frequency
8
15
7
13
6
15
Question
2
2.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
20 - 26
8
26 - 32
15
32 - 38
23
38 - 44
39
44 - 50
47
50 - 56
59
56 - 62
73
62 - 68
80
(i)
Class-Interval
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
62 - 68
Frequency
8
7
13
16
8
12
14
7
(ii)
Class-Interval
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
62 - 68
Frequency
8
7
8
16
3
12
14
7
(iii)
Class-Interval
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
62 - 68
Frequency
8
7
8
16
8
12
14
7
(iv)
Class-Interval
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
62 - 68
Frequency
8
7
16
8
8
12
14
7
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
No. of Patients
46
73
90
76
37
28
26
(i)
Age (in years)
Cumulative Frequency
10 - 20
46
21 - 31
119
32 - 42
209
43 - 53
290
54 - 64
327
65 - 75
355
76 - 86
381
(ii)
Age (in years)
Cumulative Frequency
10 - 20
46
21 - 31
72
32 - 42
162
43 - 53
238
54 - 64
275
65 - 75
303
76 - 86
376
(iii)
Age (in years)
Cumulative Frequency
10 - 20
46
21 - 31
119
32 - 42
209
43 - 53
285
54 - 64
322
65 - 75
350
76 - 86
376
(iv)
Age (in years)
Cumulative Frequency
10 - 20
46
21 - 31
136
32 - 42
209
43 - 53
285
54 - 64
322
65 - 75
350
76 - 86
376
(v)
Age (in years)
Cumulative Frequency
10 - 20
46
21 - 31
119
32 - 42
211
43 - 53
287
54 - 64
324
65 - 75
352
76 - 86
378
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
No. of Patients
33
89
72
41
(i)
Age (in years)
Cumulative Frequency
10 - 20
33
20 - 30
122
30 - 40
194
40 - 50
235
(ii)
Age (in years)
Cumulative Frequency
10 - 20
41
20 - 30
130
30 - 40
202
40 - 50
235
(iii)
Age (in years)
Cumulative Frequency
10 - 20
33
20 - 30
120
30 - 40
192
40 - 50
233
(iv)
Age (in years)
Cumulative Frequency
10 - 20
33
20 - 30
105
30 - 40
194
40 - 50
235
(v)
Age (in years)
Cumulative Frequency
10 - 20
33
20 - 30
122
30 - 40
196
40 - 50
237
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 - 220
221 - 241
242 - 262
263 - 283
284 - 304
305 - 325
Labourers
9
18
17
18
1
7
(i)
Wages (in rupees)
Cumulative Frequency
200 - 220
9
221 - 241
27
242 - 262
44
263 - 283
62
284 - 304
63
305 - 325
70
(ii)
Wages (in rupees)
Cumulative Frequency
200 - 220
9
221 - 241
27
242 - 262
40
263 - 283
58
284 - 304
59
305 - 325
66
(iii)
Wages (in rupees)
Cumulative Frequency
200 - 220
9
221 - 241
16
242 - 262
33
263 - 283
51
284 - 304
52
305 - 325
70
(iv)
Wages (in rupees)
Cumulative Frequency
200 - 220
9
221 - 241
26
242 - 262
44
263 - 283
62
284 - 304
63
305 - 325
70
(v)
Wages (in rupees)
Cumulative Frequency
200 - 220
9
221 - 241
27
242 - 262
44
263 - 283
67
284 - 304
68
305 - 325
75
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)
200 - 220
220 - 240
240 - 260
260 - 280
280 - 300
300 - 320
Labourers
5
11
13
19
12
4
(i)
Wages (in rupees)
Cumulative Frequency
200 - 220
5
220 - 240
16
240 - 260
32
260 - 280
51
280 - 300
63
300 - 320
67
(ii)
Wages (in rupees)
Cumulative Frequency
200 - 220
5
220 - 240
16
240 - 260
29
260 - 280
48
280 - 300
60
300 - 320
64
(iii)
Wages (in rupees)
Cumulative Frequency
200 - 220
5
220 - 240
9
240 - 260
22
260 - 280
41
280 - 300
53
300 - 320
64
(iv)
Wages (in rupees)
Cumulative Frequency
200 - 220
5
220 - 240
18
240 - 260
29
260 - 280
48
280 - 300
60
300 - 320
64
(v)
Wages (in rupees)
Cumulative Frequency
200 - 220
5
220 - 240
16
240 - 260
29
260 - 280
44
280 - 300
56
300 - 320
60
Question
7
7.
Identify the cumulative frequency of the given grouped data.
class interval
48 - 54
55 - 61
62 - 68
69 - 75
frequency
9
8
15
23
(i)
class interval
Cumulative Frequency
48 - 54
23
55 - 61
31
62 - 68
46
69 - 75
55
(ii)
class interval
Cumulative Frequency
48 - 54
9
55 - 61
24
62 - 68
32
69 - 75
55
(iii)
class interval
Cumulative Frequency
48 - 54
9
55 - 61
15
62 - 68
30
69 - 75
53
(iv)
class interval
Cumulative Frequency
48 - 54
9
55 - 61
17
62 - 68
29
69 - 75
52
(v)
class interval
Cumulative Frequency
48 - 54
9
55 - 61
17
62 - 68
32
69 - 75
55
Question
8
8.
Identify the cumulative frequency of the given grouped data.
class interval
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
frequency
20
12
22
18
12
11
19
25
(i)
class interval
Cumulative Frequency
18 - 23
20
23 - 28
32
28 - 33
50
33 - 38
72
38 - 43
84
43 - 48
95
48 - 53
114
53 - 58
139
(ii)
class interval
Cumulative Frequency
18 - 23
20
23 - 28
32
28 - 33
54
33 - 38
72
38 - 43
84
43 - 48
95
48 - 53
114
53 - 58
139
(iii)
class interval
Cumulative Frequency
18 - 23
20
23 - 28
45
28 - 33
67
33 - 38
85
38 - 43
97
43 - 48
108
48 - 53
127
53 - 58
139
(iv)
class interval
Cumulative Frequency
18 - 23
20
23 - 28
32
28 - 33
58
33 - 38
76
38 - 43
88
43 - 48
99
48 - 53
118
53 - 58
143
(v)
class interval
Cumulative Frequency
18 - 23
20
23 - 28
32
28 - 33
54
33 - 38
72
38 - 43
87
43 - 48
98
48 - 53
117
53 - 58
142
Question
9
9.
Find the cumulative frequency of class
48
-
55
.
Class-Interval
32 - 39
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
80 - 87
Frequency
9
19
20
21
22
25
20
(i)
46
(ii)
47
(iii)
51
(iv)
48
(v)
49
Question
10
10.
Find the cumulative frequency of class
77
-
84
.
Class-Interval
28 - 35
35 - 42
42 - 49
49 - 56
56 - 63
63 - 70
70 - 77
77 - 84
Frequency
11
6
17
25
5
9
14
5
(i)
93
(ii)
92
(iii)
90
(iv)
91
(v)
94
Question
11
11.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
21 - 30
11
30 - 39
21
39 - 48
28
48 - 57
42
57 - 66
47
66 - 75
63
75 - 84
75
(i)
Class-Interval
21 - 30
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
Frequency
11
7
10
14
5
16
12
(ii)
Class-Interval
21 - 30
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
Frequency
11
10
7
9
5
16
12
(iii)
Class-Interval
21 - 30
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
Frequency
11
12
7
14
5
16
10
(iv)
Class-Interval
21 - 30
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
Frequency
11
10
7
14
5
16
12
(v)
Class-Interval
21 - 30
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
Frequency
11
10
11
14
5
16
12
Question
12
12.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
15 - 24
67
24 - 33
54
33 - 42
44
42 - 51
39
51 - 60
25
60 - 69
14
(i)
Class-Interval
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
60 - 69
Frequency
13
5
10
14
11
14
(ii)
Class-Interval
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
60 - 69
Frequency
13
10
9
14
11
14
(iii)
Class-Interval
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
60 - 69
Frequency
13
10
5
14
11
14
(iv)
Class-Interval
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
60 - 69
Frequency
13
14
5
14
11
10
(v)
Class-Interval
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
60 - 69
Frequency
13
10
5
9
11
14
Question
13
13.
During the medical check-up of 64 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is less than 95 kg
Class-Interval
31 - 39
39 - 47
47 - 55
55 - 63
63 - 71
71 - 79
79 - 87
87 - 95
Frequency
5
10
7
8
10
10
6
8
(i)
61
(ii)
65
(iii)
67
(iv)
63
(v)
64
Question
14
14.
During the medical check-up of 50 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is more than 68 kg
Class-Interval
38 - 44
44 - 50
50 - 56
56 - 62
62 - 68
68 - 74
Frequency
8
10
6
9
9
8
(i)
5
(ii)
9
(iii)
8
(iv)
11
(v)
7
Assignment Key
1) (iii)
2) (iii)
3) (iii)
4) (i)
5) (i)
6) (ii)
7) (v)
8) (ii)
9) (iv)
10) (ii)
11) (iv)
12) (iii)
13) (v)
14) (iii)
