EduSahara™ Assignment
Name : Cumulative Frequency Distribution
Chapter : Statistics
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
16 - 22
14
23 - 29
27
30 - 36
40
37 - 43
48
44 - 50
61
(i)
Class-Interval
16 - 22
23 - 29
30 - 36
37 - 43
44 - 50
Frequency
14
13
13
8
13
(ii)
Class-Interval
16 - 22
23 - 29
30 - 36
37 - 43
44 - 50
Frequency
14
16
13
8
13
(iii)
Class-Interval
16 - 22
23 - 29
30 - 36
37 - 43
44 - 50
Frequency
14
13
16
8
13
Question
2
2.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
37 - 43
6
43 - 49
15
49 - 55
28
55 - 61
43
61 - 67
54
67 - 73
64
73 - 79
69
79 - 85
74
(i)
Class-Interval
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
67 - 73
73 - 79
79 - 85
Frequency
6
9
15
13
11
10
5
5
(ii)
Class-Interval
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
67 - 73
73 - 79
79 - 85
Frequency
6
9
13
15
16
10
5
5
(iii)
Class-Interval
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
67 - 73
73 - 79
79 - 85
Frequency
6
9
13
15
11
10
5
5
(iv)
Class-Interval
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
67 - 73
73 - 79
79 - 85
Frequency
6
9
8
15
11
10
5
5
(v)
Class-Interval
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
67 - 73
73 - 79
79 - 85
Frequency
6
5
13
15
11
10
5
9
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
No. of Patients
57
14
33
43
80
(i)
Age (in years)
Cumulative Frequency
10 - 15
57
16 - 21
137
22 - 27
170
28 - 33
213
34 - 39
227
(ii)
Age (in years)
Cumulative Frequency
10 - 15
57
16 - 21
90
22 - 27
104
28 - 33
147
34 - 39
227
(iii)
Age (in years)
Cumulative Frequency
10 - 15
57
16 - 21
71
22 - 27
102
28 - 33
145
34 - 39
225
(iv)
Age (in years)
Cumulative Frequency
10 - 15
57
16 - 21
71
22 - 27
104
28 - 33
147
34 - 39
227
(v)
Age (in years)
Cumulative Frequency
10 - 15
57
16 - 21
75
22 - 27
108
28 - 33
151
34 - 39
231
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
50 - 60
60 - 70
No. of Patients
22
52
41
66
71
62
(i)
Age (in years)
Cumulative Frequency
10 - 20
22
20 - 30
74
30 - 40
115
40 - 50
181
50 - 60
252
60 - 70
314
(ii)
Age (in years)
Cumulative Frequency
10 - 20
22
20 - 30
63
30 - 40
115
40 - 50
181
50 - 60
252
60 - 70
314
(iii)
Age (in years)
Cumulative Frequency
10 - 20
22
20 - 30
84
30 - 40
125
40 - 50
191
50 - 60
262
60 - 70
314
(iv)
Age (in years)
Cumulative Frequency
10 - 20
22
20 - 30
74
30 - 40
112
40 - 50
178
50 - 60
249
60 - 70
311
(v)
Age (in years)
Cumulative Frequency
10 - 20
22
20 - 30
74
30 - 40
115
40 - 50
184
50 - 60
255
60 - 70
317
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)
300 - 340
341 - 381
382 - 422
423 - 463
464 - 504
505 - 545
Labourers
13
15
18
14
13
10
(i)
Wages (in rupees)
Cumulative Frequency
300 - 340
13
341 - 381
31
382 - 422
46
423 - 463
60
464 - 504
73
505 - 545
83
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 340
13
341 - 381
28
382 - 422
46
423 - 463
60
464 - 504
73
505 - 545
83
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 340
13
341 - 381
28
382 - 422
46
423 - 463
63
464 - 504
76
505 - 545
86
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 340
13
341 - 381
23
382 - 422
41
423 - 463
55
464 - 504
68
505 - 545
83
(v)
Wages (in rupees)
Cumulative Frequency
300 - 340
13
341 - 381
28
382 - 422
41
423 - 463
55
464 - 504
68
505 - 545
78
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 - 320
320 - 340
340 - 360
360 - 380
380 - 400
400 - 420
Labourers
8
1
9
13
6
13
(i)
Wages (in rupees)
Cumulative Frequency
300 - 320
8
320 - 340
9
340 - 360
18
360 - 380
33
380 - 400
39
400 - 420
52
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 320
8
320 - 340
9
340 - 360
18
360 - 380
31
380 - 400
37
400 - 420
50
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 320
8
320 - 340
9
340 - 360
16
360 - 380
29
380 - 400
35
400 - 420
48
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 320
8
320 - 340
17
340 - 360
18
360 - 380
31
380 - 400
37
400 - 420
50
(v)
Wages (in rupees)
Cumulative Frequency
300 - 320
8
320 - 340
21
340 - 360
30
360 - 380
43
380 - 400
49
400 - 420
50
Question
7
7.
Identify the cumulative frequency of the given grouped data.
class interval
31 - 36
37 - 42
43 - 48
49 - 54
frequency
8
22
19
23
(i)
class interval
Cumulative Frequency
31 - 36
8
37 - 42
34
43 - 48
53
49 - 54
76
(ii)
class interval
Cumulative Frequency
31 - 36
8
37 - 42
30
43 - 48
49
49 - 54
72
(iii)
class interval
Cumulative Frequency
31 - 36
8
37 - 42
27
43 - 48
49
49 - 54
72
(iv)
class interval
Cumulative Frequency
31 - 36
8
37 - 42
30
43 - 48
45
49 - 54
68
(v)
class interval
Cumulative Frequency
31 - 36
23
37 - 42
45
43 - 48
64
49 - 54
72
Question
8
8.
Identify the cumulative frequency of the given grouped data.
class interval
19 - 25
25 - 31
31 - 37
37 - 43
frequency
25
12
11
17
(i)
class interval
Cumulative Frequency
19 - 25
17
25 - 31
29
31 - 37
40
37 - 43
65
(ii)
class interval
Cumulative Frequency
19 - 25
25
25 - 31
37
31 - 37
51
37 - 43
68
(iii)
class interval
Cumulative Frequency
19 - 25
25
25 - 31
36
31 - 37
48
37 - 43
65
(iv)
class interval
Cumulative Frequency
19 - 25
25
25 - 31
32
31 - 37
43
37 - 43
60
(v)
class interval
Cumulative Frequency
19 - 25
25
25 - 31
37
31 - 37
48
37 - 43
65
Question
9
9.
Less than cumulative curves are drawn using
(i)
upper boundaries of classes and less than cumulative frequencies
(ii)
lower boundaries of classes and greater than cumulative frequencies
(iii)
mid values of classes and less than cumulative frequencies
(iv)
lower boundaries of classes and less than cumulative frequencies
Question
10
10.
Greater than cumulative curves are drawn using
(i)
lower boundaries of classes and greater than cumulative frequencies
(ii)
upper boundaries of classes and greater than cumulative frequencies
(iii)
upper boundaries of classes and less than cumulative frequencies
(iv)
mid values of classes and greater than cumulative frequencies
Question
11
11.
Find the cumulative frequency of class
25
-
33
.
Class-Interval
16 - 24
25 - 33
34 - 42
43 - 51
52 - 60
Frequency
13
11
7
14
14
(i)
24
(ii)
23
(iii)
27
(iv)
25
(v)
21
Question
12
12.
Find the cumulative frequency of class
50
-
57
.
Class-Interval
43 - 50
50 - 57
57 - 64
64 - 71
Frequency
18
5
13
9
(i)
26
(ii)
22
(iii)
24
(iv)
21
(v)
23
Question
13
13.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
22 - 31
6
31 - 40
20
40 - 49
26
49 - 58
38
58 - 67
50
(i)
Class-Interval
22 - 31
31 - 40
40 - 49
49 - 58
58 - 67
Frequency
6
12
6
12
14
(ii)
Class-Interval
22 - 31
31 - 40
40 - 49
49 - 58
58 - 67
Frequency
6
6
14
12
12
(iii)
Class-Interval
22 - 31
31 - 40
40 - 49
49 - 58
58 - 67
Frequency
6
11
6
12
12
(iv)
Class-Interval
22 - 31
31 - 40
40 - 49
49 - 58
58 - 67
Frequency
6
14
2
12
12
(v)
Class-Interval
22 - 31
31 - 40
40 - 49
49 - 58
58 - 67
Frequency
6
14
6
12
12
Question
14
14.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
28 - 36
84
36 - 44
73
44 - 52
67
52 - 60
52
60 - 68
40
68 - 76
33
76 - 84
24
84 - 92
16
(i)
Class-Interval
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
68 - 76
76 - 84
84 - 92
Frequency
11
16
15
12
7
9
8
6
(ii)
Class-Interval
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
68 - 76
76 - 84
84 - 92
Frequency
11
6
15
12
7
9
8
16
(iii)
Class-Interval
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
68 - 76
76 - 84
84 - 92
Frequency
11
6
17
12
7
9
8
16
(iv)
Class-Interval
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
68 - 76
76 - 84
84 - 92
Frequency
11
6
15
12
5
9
8
16
(v)
Class-Interval
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
68 - 76
76 - 84
84 - 92
Frequency
11
6
12
15
7
9
8
16
Question
15
15.
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 70 kg
Class-Interval
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
Frequency
7
9
9
5
6
12
8
6
(i)
14
(ii)
17
(iii)
12
(iv)
15
(v)
13
Assignment Key
1) (i)
2) (iii)
3) (iv)
4) (i)
5) (ii)
6) (ii)
7) (ii)
8) (v)
9) (i)
10) (i)
11) (i)
12) (v)
13) (v)
14) (ii)
15) (i)
