EduSahara™ Assignment
Name : Cumulative Frequency
Chapter : Statistics
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
23 - 32
7
33 - 42
12
43 - 52
19
53 - 62
29
63 - 72
34
(i)
Class-Interval
23 - 32
33 - 42
43 - 52
53 - 62
63 - 72
Frequency
7
5
7
10
5
(ii)
Class-Interval
23 - 32
33 - 42
43 - 52
53 - 62
63 - 72
Frequency
7
5
5
10
5
(iii)
Class-Interval
23 - 32
33 - 42
43 - 52
53 - 62
63 - 72
Frequency
7
7
5
10
5
(iv)
Class-Interval
23 - 32
33 - 42
43 - 52
53 - 62
63 - 72
Frequency
7
3
7
10
5
Question
2
2.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
31 - 38
7
38 - 45
16
45 - 52
30
52 - 59
41
59 - 66
53
66 - 73
66
73 - 80
75
80 - 87
81
(i)
Class-Interval
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
66 - 73
73 - 80
80 - 87
Frequency
7
6
14
11
12
13
9
9
(ii)
Class-Interval
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
66 - 73
73 - 80
80 - 87
Frequency
7
9
14
11
15
13
9
6
(iii)
Class-Interval
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
66 - 73
73 - 80
80 - 87
Frequency
7
9
11
14
12
13
9
6
(iv)
Class-Interval
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
66 - 73
73 - 80
80 - 87
Frequency
7
9
14
11
12
13
9
6
(v)
Class-Interval
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
66 - 73
73 - 80
80 - 87
Frequency
7
9
9
11
12
13
9
6
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
40 - 45
No. of Patients
13
38
35
67
75
27
(i)
Age (in years)
Cumulative Frequency
10 - 15
13
16 - 21
40
22 - 27
75
28 - 33
142
34 - 39
217
40 - 45
255
(ii)
Age (in years)
Cumulative Frequency
10 - 15
13
16 - 21
48
22 - 27
86
28 - 33
153
34 - 39
228
40 - 45
255
(iii)
Age (in years)
Cumulative Frequency
10 - 15
13
16 - 21
51
22 - 27
86
28 - 33
153
34 - 39
228
40 - 45
255
(iv)
Age (in years)
Cumulative Frequency
10 - 15
13
16 - 21
51
22 - 27
86
28 - 33
158
34 - 39
233
40 - 45
260
(v)
Age (in years)
Cumulative Frequency
10 - 15
13
16 - 21
51
22 - 27
88
28 - 33
155
34 - 39
230
40 - 45
257
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
19
41
90
43
(i)
Age (in years)
Cumulative Frequency
10 - 20
19
20 - 30
57
30 - 40
147
40 - 50
190
(ii)
Age (in years)
Cumulative Frequency
10 - 20
19
20 - 30
60
30 - 40
150
40 - 50
193
(iii)
Age (in years)
Cumulative Frequency
10 - 20
19
20 - 30
60
30 - 40
146
40 - 50
189
(iv)
Age (in years)
Cumulative Frequency
10 - 20
19
20 - 30
109
30 - 40
150
40 - 50
193
(v)
Age (in years)
Cumulative Frequency
10 - 20
43
20 - 30
84
30 - 40
174
40 - 50
193
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
4
16
3
16
4
9
(i)
Wages (in rupees)
Cumulative Frequency
200 - 240
4
241 - 281
13
282 - 322
16
323 - 363
32
364 - 404
36
405 - 445
52
(ii)
Wages (in rupees)
Cumulative Frequency
200 - 240
4
241 - 281
20
282 - 322
23
323 - 363
39
364 - 404
43
405 - 445
52
(iii)
Wages (in rupees)
Cumulative Frequency
200 - 240
4
241 - 281
20
282 - 322
23
323 - 363
41
364 - 404
45
405 - 445
54
(iv)
Wages (in rupees)
Cumulative Frequency
200 - 240
4
241 - 281
20
282 - 322
25
323 - 363
41
364 - 404
45
405 - 445
54
(v)
Wages (in rupees)
Cumulative Frequency
200 - 240
4
241 - 281
7
282 - 322
23
323 - 363
39
364 - 404
43
405 - 445
52
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 - 240
240 - 280
280 - 320
320 - 360
360 - 400
400 - 440
Labourers
3
5
11
18
20
18
(i)
Wages (in rupees)
Cumulative Frequency
200 - 240
3
240 - 280
21
280 - 320
32
320 - 360
50
360 - 400
70
400 - 440
75
(ii)
Wages (in rupees)
Cumulative Frequency
200 - 240
3
240 - 280
8
280 - 320
19
320 - 360
37
360 - 400
57
400 - 440
75
(iii)
Wages (in rupees)
Cumulative Frequency
200 - 240
3
240 - 280
8
280 - 320
19
320 - 360
34
360 - 400
54
400 - 440
72
(iv)
Wages (in rupees)
Cumulative Frequency
200 - 240
3
240 - 280
8
280 - 320
23
320 - 360
41
360 - 400
61
400 - 440
79
(v)
Wages (in rupees)
Cumulative Frequency
200 - 240
3
240 - 280
14
280 - 320
19
320 - 360
37
360 - 400
57
400 - 440
75
Question
7
7.
Identify the cumulative frequency of the given grouped data.
class interval
46 - 55
56 - 65
66 - 75
76 - 85
86 - 95
96 - 105
frequency
6
5
20
20
21
18
(i)
class interval
Cumulative Frequency
46 - 55
6
56 - 65
11
66 - 75
34
76 - 85
54
86 - 95
75
96 - 105
93
(ii)
class interval
Cumulative Frequency
46 - 55
6
56 - 65
24
66 - 75
44
76 - 85
64
86 - 95
85
96 - 105
90
(iii)
class interval
Cumulative Frequency
46 - 55
6
56 - 65
26
66 - 75
31
76 - 85
51
86 - 95
72
96 - 105
90
(iv)
class interval
Cumulative Frequency
46 - 55
6
56 - 65
11
66 - 75
31
76 - 85
46
86 - 95
67
96 - 105
85
(v)
class interval
Cumulative Frequency
46 - 55
6
56 - 65
11
66 - 75
31
76 - 85
51
86 - 95
72
96 - 105
90
Question
8
8.
Identify the cumulative frequency of the given grouped data.
class interval
26 - 36
36 - 46
46 - 56
56 - 66
frequency
7
5
5
18
(i)
class interval
Cumulative Frequency
26 - 36
7
36 - 46
12
46 - 56
19
56 - 66
37
(ii)
class interval
Cumulative Frequency
26 - 36
7
36 - 46
14
46 - 56
19
56 - 66
37
(iii)
class interval
Cumulative Frequency
26 - 36
18
36 - 46
23
46 - 56
28
56 - 66
35
(iv)
class interval
Cumulative Frequency
26 - 36
7
36 - 46
12
46 - 56
17
56 - 66
35
Question
9
9.
Find the cumulative frequency of class
24
-
29
.
Class-Interval
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
Frequency
21
15
6
13
15
(i)
36
(ii)
37
(iii)
33
(iv)
38
(v)
35
Question
10
10.
Find the cumulative frequency of class
67
-
76
.
Class-Interval
49 - 58
58 - 67
67 - 76
76 - 85
85 - 94
94 - 103
103 - 112
112 - 121
Frequency
24
15
11
16
22
9
6
6
(i)
51
(ii)
50
(iii)
47
(iv)
49
(v)
53
Question
11
11.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
39 - 44
15
44 - 49
29
49 - 54
38
54 - 59
43
59 - 64
56
64 - 69
70
69 - 74
77
74 - 79
86
(i)
Class-Interval
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
69 - 74
74 - 79
Frequency
15
14
5
9
13
14
7
9
(ii)
Class-Interval
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
69 - 74
74 - 79
Frequency
15
14
7
5
13
14
7
9
(iii)
Class-Interval
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
69 - 74
74 - 79
Frequency
15
14
9
5
13
14
7
9
(iv)
Class-Interval
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
69 - 74
74 - 79
Frequency
15
9
9
5
13
14
7
14
(v)
Class-Interval
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
69 - 74
74 - 79
Frequency
15
14
9
5
9
14
7
9
Question
12
12.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
24 - 31
73
31 - 38
58
38 - 45
53
45 - 52
45
52 - 59
33
59 - 66
26
66 - 73
14
(i)
Class-Interval
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
66 - 73
Frequency
15
5
8
12
7
12
14
(ii)
Class-Interval
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
66 - 73
Frequency
15
5
8
9
7
12
14
(iii)
Class-Interval
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
66 - 73
Frequency
15
14
8
12
7
12
5
(iv)
Class-Interval
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
66 - 73
Frequency
15
8
5
12
7
12
14
(v)
Class-Interval
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
66 - 73
Frequency
15
5
5
12
7
12
14
Question
13
13.
During the medical check-up of 29 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is less than 68 kg
Class-Interval
36 - 44
44 - 52
52 - 60
60 - 68
Frequency
5
5
11
8
(i)
27
(ii)
32
(iii)
28
(iv)
29
(v)
30
Question
14
14.
During the medical check-up of 39 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is more than 60 kg
Class-Interval
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
Frequency
6
12
5
5
11
(i)
15
(ii)
14
(iii)
18
(iv)
16
(v)
17
Question
15
15.
Identify the class interval table for the given less than cumulative frequency table
Class-Interval
Cumulative Frequency
11 - 17
7
17 - 23
20
23 - 29
36
29 - 35
51
35 - 41
66
41 - 47
73
47 - 53
79
53 - 59
88
(i)
Class-Interval
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
Frequency
7
9
16
15
15
7
6
13
(ii)
Class-Interval
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
Frequency
7
13
21
15
15
7
6
9
(iii)
Class-Interval
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
Frequency
7
13
16
15
15
7
6
9
(iv)
Class-Interval
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
Frequency
7
13
16
15
18
7
6
9
(v)
Class-Interval
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
Frequency
7
13
15
16
15
7
6
9
Question
16
16.
Identify the class interval table for the given greater than cumulative frequency table
Class-Interval
Cumulative Frequency
34 - 43
77
43 - 52
71
52 - 61
60
61 - 70
45
70 - 79
32
79 - 88
22
88 - 97
15
(i)
Class-Interval
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
79 - 88
88 - 97
Frequency
6
11
18
13
10
7
15
(ii)
Class-Interval
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
79 - 88
88 - 97
Frequency
6
15
15
13
10
7
11
(iii)
Class-Interval
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
79 - 88
88 - 97
Frequency
6
11
15
13
10
7
15
(iv)
Class-Interval
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
79 - 88
88 - 97
Frequency
6
11
15
11
10
7
15
(v)
Class-Interval
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
79 - 88
88 - 97
Frequency
6
15
11
13
10
7
15
Assignment Key
1) (i)
2) (iv)
3) (iii)
4) (ii)
5) (ii)
6) (ii)
7) (v)
8) (iv)
9) (i)
10) (ii)
11) (iii)
12) (i)
13) (iv)
14) (iv)
15) (iii)
16) (iii)
