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
37 - 47
16
48 - 58
23
59 - 69
39
70 - 80
49
81 - 91
62
92 - 102
77
103 - 113
93
(i)
Class-Interval
37 - 47
48 - 58
59 - 69
70 - 80
81 - 91
92 - 102
103 - 113
Frequency
16
7
16
7
13
15
16
(ii)
Class-Interval
37 - 47
48 - 58
59 - 69
70 - 80
81 - 91
92 - 102
103 - 113
Frequency
16
7
21
10
13
15
16
(iii)
Class-Interval
37 - 47
48 - 58
59 - 69
70 - 80
81 - 91
92 - 102
103 - 113
Frequency
16
16
16
10
13
15
7
(iv)
Class-Interval
37 - 47
48 - 58
59 - 69
70 - 80
81 - 91
92 - 102
103 - 113
Frequency
16
7
16
10
13
15
16
(v)
Class-Interval
37 - 47
48 - 58
59 - 69
70 - 80
81 - 91
92 - 102
103 - 113
Frequency
16
16
7
10
13
15
16
Question
2
2.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
30 - 34
14
34 - 38
25
38 - 42
40
42 - 46
51
46 - 50
62
50 - 54
72
(i)
Class-Interval
30 - 34
34 - 38
38 - 42
42 - 46
46 - 50
50 - 54
Frequency
14
15
11
11
11
10
(ii)
Class-Interval
30 - 34
34 - 38
38 - 42
42 - 46
46 - 50
50 - 54
Frequency
14
11
19
11
11
10
(iii)
Class-Interval
30 - 34
34 - 38
38 - 42
42 - 46
46 - 50
50 - 54
Frequency
14
11
15
7
11
10
(iv)
Class-Interval
30 - 34
34 - 38
38 - 42
42 - 46
46 - 50
50 - 54
Frequency
14
11
15
11
11
10
(v)
Class-Interval
30 - 34
34 - 38
38 - 42
42 - 46
46 - 50
50 - 54
Frequency
14
10
15
11
11
11
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
15
65
48
38
58
77
31
22
(i)
Age (in years)
Cumulative Frequency
10 - 20
15
21 - 31
80
32 - 42
128
43 - 53
166
54 - 64
220
65 - 75
297
76 - 86
328
87 - 97
350
(ii)
Age (in years)
Cumulative Frequency
10 - 20
15
21 - 31
80
32 - 42
118
43 - 53
166
54 - 64
224
65 - 75
301
76 - 86
332
87 - 97
354
(iii)
Age (in years)
Cumulative Frequency
10 - 20
15
21 - 31
80
32 - 42
128
43 - 53
166
54 - 64
224
65 - 75
301
76 - 86
332
87 - 97
354
(iv)
Age (in years)
Cumulative Frequency
10 - 20
15
21 - 31
37
32 - 42
85
43 - 53
123
54 - 64
181
65 - 75
258
76 - 86
289
87 - 97
354
(v)
Age (in years)
Cumulative Frequency
10 - 20
15
21 - 31
80
32 - 42
125
43 - 53
163
54 - 64
221
65 - 75
298
76 - 86
329
87 - 97
351
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 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
No. of Patients
27
43
64
54
56
39
16
(i)
Age (in years)
Cumulative Frequency
20 - 30
27
30 - 40
43
40 - 50
107
50 - 60
161
60 - 70
217
70 - 80
256
80 - 90
299
(ii)
Age (in years)
Cumulative Frequency
20 - 30
27
30 - 40
70
40 - 50
134
50 - 60
184
60 - 70
240
70 - 80
279
80 - 90
295
(iii)
Age (in years)
Cumulative Frequency
20 - 30
27
30 - 40
70
40 - 50
134
50 - 60
188
60 - 70
244
70 - 80
283
80 - 90
299
(iv)
Age (in years)
Cumulative Frequency
20 - 30
27
30 - 40
70
40 - 50
130
50 - 60
184
60 - 70
240
70 - 80
279
80 - 90
295
(v)
Age (in years)
Cumulative Frequency
20 - 30
27
30 - 40
91
40 - 50
134
50 - 60
188
60 - 70
244
70 - 80
283
80 - 90
299
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
3
5
13
17
3
12
(i)
Wages (in rupees)
Cumulative Frequency
200 - 240
3
241 - 281
8
282 - 322
25
323 - 363
42
364 - 404
45
405 - 445
57
(ii)
Wages (in rupees)
Cumulative Frequency
200 - 240
3
241 - 281
16
282 - 322
21
323 - 363
38
364 - 404
41
405 - 445
53
(iii)
Wages (in rupees)
Cumulative Frequency
200 - 240
3
241 - 281
15
282 - 322
28
323 - 363
45
364 - 404
48
405 - 445
53
(iv)
Wages (in rupees)
Cumulative Frequency
200 - 240
3
241 - 281
8
282 - 322
21
323 - 363
35
364 - 404
38
405 - 445
50
(v)
Wages (in rupees)
Cumulative Frequency
200 - 240
3
241 - 281
8
282 - 322
21
323 - 363
38
364 - 404
41
405 - 445
53
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 - 230
230 - 260
260 - 290
290 - 320
320 - 350
350 - 380
Labourers
18
16
4
3
19
1
(i)
Wages (in rupees)
Cumulative Frequency
200 - 230
18
230 - 260
34
260 - 290
36
290 - 320
39
320 - 350
58
350 - 380
59
(ii)
Wages (in rupees)
Cumulative Frequency
200 - 230
18
230 - 260
34
260 - 290
38
290 - 320
46
320 - 350
65
350 - 380
66
(iii)
Wages (in rupees)
Cumulative Frequency
200 - 230
18
230 - 260
19
260 - 290
23
290 - 320
26
320 - 350
45
350 - 380
61
(iv)
Wages (in rupees)
Cumulative Frequency
200 - 230
18
230 - 260
22
260 - 290
38
290 - 320
41
320 - 350
60
350 - 380
61
(v)
Wages (in rupees)
Cumulative Frequency
200 - 230
18
230 - 260
34
260 - 290
38
290 - 320
41
320 - 350
60
350 - 380
61
Question
7
7.
Identify the cumulative frequency of the given grouped data.
class interval
31 - 39
40 - 48
49 - 57
58 - 66
67 - 75
76 - 84
frequency
18
12
21
25
18
6
(i)
class interval
Cumulative Frequency
31 - 39
18
40 - 48
24
49 - 57
45
58 - 66
70
67 - 75
88
76 - 84
100
(ii)
class interval
Cumulative Frequency
31 - 39
18
40 - 48
39
49 - 57
51
58 - 66
76
67 - 75
94
76 - 84
100
(iii)
class interval
Cumulative Frequency
31 - 39
18
40 - 48
30
49 - 57
51
58 - 66
79
67 - 75
97
76 - 84
103
(iv)
class interval
Cumulative Frequency
31 - 39
18
40 - 48
30
49 - 57
55
58 - 66
80
67 - 75
98
76 - 84
104
(v)
class interval
Cumulative Frequency
31 - 39
18
40 - 48
30
49 - 57
51
58 - 66
76
67 - 75
94
76 - 84
100
Question
8
8.
Identify the cumulative frequency of the given grouped data.
class interval
33 - 43
43 - 53
53 - 63
63 - 73
73 - 83
frequency
25
11
14
6
17
(i)
class interval
Cumulative Frequency
33 - 43
25
43 - 53
36
53 - 63
50
63 - 73
56
73 - 83
73
(ii)
class interval
Cumulative Frequency
33 - 43
25
43 - 53
40
53 - 63
54
63 - 73
60
73 - 83
77
(iii)
class interval
Cumulative Frequency
33 - 43
25
43 - 53
39
53 - 63
50
63 - 73
56
73 - 83
73
(iv)
class interval
Cumulative Frequency
33 - 43
25
43 - 53
36
53 - 63
55
63 - 73
61
73 - 83
78
(v)
class interval
Cumulative Frequency
33 - 43
25
43 - 53
42
53 - 63
56
63 - 73
62
73 - 83
73
Question
9
9.
Find the cumulative frequency of class
58
-
67
.
Class-Interval
48 - 57
58 - 67
68 - 77
78 - 87
Frequency
14
24
13
15
(i)
38
(ii)
37
(iii)
39
(iv)
41
(v)
36
Question
10
10.
Find the cumulative frequency of class
48
-
56
.
Class-Interval
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
Frequency
20
24
23
18
10
12
17
(i)
42
(ii)
46
(iii)
45
(iv)
44
(v)
43
Question
11
11.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
29 - 36
13
36 - 43
21
43 - 50
30
50 - 57
46
57 - 64
58
64 - 71
64
(i)
Class-Interval
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
64 - 71
Frequency
13
8
5
16
12
6
(ii)
Class-Interval
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
64 - 71
Frequency
13
9
8
16
12
6
(iii)
Class-Interval
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
64 - 71
Frequency
13
8
9
20
12
6
(iv)
Class-Interval
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
64 - 71
Frequency
13
8
9
16
12
6
(v)
Class-Interval
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
64 - 71
Frequency
13
6
9
16
12
8
Question
12
12.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
31 - 41
62
41 - 51
49
51 - 61
41
61 - 71
26
71 - 81
15
(i)
Class-Interval
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
Frequency
13
15
8
11
15
(ii)
Class-Interval
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
Frequency
13
15
15
11
8
(iii)
Class-Interval
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
Frequency
13
13
15
11
15
(iv)
Class-Interval
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
Frequency
13
8
15
11
15
(v)
Class-Interval
31 - 41
41 - 51
51 - 61
61 - 71
71 - 81
Frequency
13
8
12
11
15
Question
13
13.
During the medical check-up of 44 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is less than 75 kg
Class-Interval
35 - 45
45 - 55
55 - 65
65 - 75
75 - 85
85 - 95
Frequency
6
8
7
11
5
7
(i)
30
(ii)
32
(iii)
31
(iv)
33
(v)
34
Question
14
14.
During the medical check-up of 62 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is more than 42 kg
Class-Interval
35 - 42
42 - 49
49 - 56
56 - 63
63 - 70
70 - 77
Frequency
12
10
12
6
12
10
(i)
48
(ii)
53
(iii)
50
(iv)
49
(v)
51
Assignment Key
1) (iv)
2) (iv)
3) (iii)
4) (iii)
5) (v)
6) (v)
7) (v)
8) (i)
9) (i)
10) (iv)
11) (iv)
12) (iv)
13) (ii)
14) (iii)
