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
29 - 35
11
36 - 42
23
43 - 49
35
50 - 56
48
57 - 63
53
(i)
Class-Interval
29 - 35
36 - 42
43 - 49
50 - 56
57 - 63
Frequency
11
12
17
13
5
(ii)
Class-Interval
29 - 35
36 - 42
43 - 49
50 - 56
57 - 63
Frequency
11
12
12
13
5
(iii)
Class-Interval
29 - 35
36 - 42
43 - 49
50 - 56
57 - 63
Frequency
11
5
12
13
12
(iv)
Class-Interval
29 - 35
36 - 42
43 - 49
50 - 56
57 - 63
Frequency
11
8
12
13
5
Question
2
2.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
11 - 20
15
20 - 29
27
29 - 38
39
38 - 47
51
47 - 56
58
56 - 65
73
65 - 74
78
74 - 83
85
(i)
Class-Interval
11 - 20
20 - 29
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
74 - 83
Frequency
15
12
12
12
10
15
5
7
(ii)
Class-Interval
11 - 20
20 - 29
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
74 - 83
Frequency
15
12
7
12
7
15
5
7
(iii)
Class-Interval
11 - 20
20 - 29
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
74 - 83
Frequency
15
7
12
12
7
15
5
12
(iv)
Class-Interval
11 - 20
20 - 29
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
74 - 83
Frequency
15
12
12
12
7
15
5
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)
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
No. of Patients
45
34
58
47
76
58
48
(i)
Age (in years)
Cumulative Frequency
20 - 25
45
26 - 31
79
32 - 37
137
38 - 43
184
44 - 49
260
50 - 55
318
56 - 61
366
(ii)
Age (in years)
Cumulative Frequency
20 - 25
45
26 - 31
93
32 - 37
151
38 - 43
198
44 - 49
274
50 - 55
332
56 - 61
366
(iii)
Age (in years)
Cumulative Frequency
20 - 25
45
26 - 31
79
32 - 37
137
38 - 43
182
44 - 49
258
50 - 55
316
56 - 61
364
(iv)
Age (in years)
Cumulative Frequency
20 - 25
45
26 - 31
79
32 - 37
134
38 - 43
181
44 - 49
257
50 - 55
315
56 - 61
363
(v)
Age (in years)
Cumulative Frequency
20 - 25
45
26 - 31
103
32 - 37
137
38 - 43
184
44 - 49
260
50 - 55
318
56 - 61
366
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 - 25
25 - 30
30 - 35
35 - 40
No. of Patients
74
18
56
82
(i)
Age (in years)
Cumulative Frequency
20 - 25
74
25 - 30
92
30 - 35
144
35 - 40
226
(ii)
Age (in years)
Cumulative Frequency
20 - 25
74
25 - 30
89
30 - 35
145
35 - 40
227
(iii)
Age (in years)
Cumulative Frequency
20 - 25
74
25 - 30
130
30 - 35
148
35 - 40
230
(iv)
Age (in years)
Cumulative Frequency
20 - 25
74
25 - 30
92
30 - 35
148
35 - 40
230
(v)
Age (in years)
Cumulative Frequency
20 - 25
82
25 - 30
100
30 - 35
156
35 - 40
230
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
7
11
9
2
1
14
(i)
Wages (in rupees)
Cumulative Frequency
200 - 220
7
221 - 241
16
242 - 262
27
263 - 283
29
284 - 304
30
305 - 325
44
(ii)
Wages (in rupees)
Cumulative Frequency
200 - 220
7
221 - 241
21
242 - 262
30
263 - 283
32
284 - 304
33
305 - 325
44
(iii)
Wages (in rupees)
Cumulative Frequency
200 - 220
7
221 - 241
18
242 - 262
27
263 - 283
29
284 - 304
30
305 - 325
44
(iv)
Wages (in rupees)
Cumulative Frequency
200 - 220
7
221 - 241
18
242 - 262
29
263 - 283
31
284 - 304
32
305 - 325
46
(v)
Wages (in rupees)
Cumulative Frequency
200 - 220
7
221 - 241
18
242 - 262
27
263 - 283
32
284 - 304
33
305 - 325
47
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
15
2
11
10
2
7
(i)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
340 - 380
17
380 - 420
28
420 - 460
33
460 - 500
35
500 - 540
42
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
340 - 380
26
380 - 420
28
420 - 460
38
460 - 500
40
500 - 540
47
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
340 - 380
17
380 - 420
23
420 - 460
33
460 - 500
35
500 - 540
42
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
340 - 380
22
380 - 420
33
420 - 460
43
460 - 500
45
500 - 540
47
(v)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
340 - 380
17
380 - 420
28
420 - 460
38
460 - 500
40
500 - 540
47
Question
7
7.
Identify the cumulative frequency of the given grouped data.
class interval
23 - 32
33 - 42
43 - 52
53 - 62
63 - 72
frequency
25
21
9
20
5
(i)
class interval
Cumulative Frequency
23 - 32
25
33 - 42
42
43 - 52
51
53 - 62
71
63 - 72
76
(ii)
class interval
Cumulative Frequency
23 - 32
25
33 - 42
46
43 - 52
55
53 - 62
75
63 - 72
80
(iii)
class interval
Cumulative Frequency
23 - 32
25
33 - 42
46
43 - 52
59
53 - 62
79
63 - 72
84
(iv)
class interval
Cumulative Frequency
23 - 32
25
33 - 42
30
43 - 52
39
53 - 62
59
63 - 72
80
(v)
class interval
Cumulative Frequency
23 - 32
25
33 - 42
34
43 - 52
55
53 - 62
75
63 - 72
80
Question
8
8.
Identify the cumulative frequency of the given grouped data.
class interval
13 - 21
21 - 29
29 - 37
37 - 45
45 - 53
frequency
23
25
16
18
11
(i)
class interval
Cumulative Frequency
13 - 21
23
21 - 29
48
29 - 37
64
37 - 45
82
45 - 53
93
(ii)
class interval
Cumulative Frequency
13 - 21
23
21 - 29
53
29 - 37
69
37 - 45
87
45 - 53
98
(iii)
class interval
Cumulative Frequency
13 - 21
23
21 - 29
48
29 - 37
61
37 - 45
79
45 - 53
90
(iv)
class interval
Cumulative Frequency
13 - 21
23
21 - 29
34
29 - 37
50
37 - 45
68
45 - 53
93
(v)
class interval
Cumulative Frequency
13 - 21
23
21 - 29
39
29 - 37
64
37 - 45
82
45 - 53
93
Question
9
9.
Find the cumulative frequency of class
113
-
123
.
Class-Interval
47 - 57
58 - 68
69 - 79
80 - 90
91 - 101
102 - 112
113 - 123
124 - 134
Frequency
15
5
12
12
5
5
16
18
(i)
69
(ii)
71
(iii)
70
(iv)
73
(v)
67
Question
10
10.
Find the cumulative frequency of class
46
-
52
.
Class-Interval
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
46 - 52
52 - 58
Frequency
22
7
9
7
15
19
21
(i)
82
(ii)
80
(iii)
78
(iv)
76
(v)
79
Question
11
11.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
37 - 44
15
44 - 51
24
51 - 58
39
58 - 65
45
65 - 72
57
(i)
Class-Interval
37 - 44
44 - 51
51 - 58
58 - 65
65 - 72
Frequency
15
12
15
6
9
(ii)
Class-Interval
37 - 44
44 - 51
51 - 58
58 - 65
65 - 72
Frequency
15
13
15
6
12
(iii)
Class-Interval
37 - 44
44 - 51
51 - 58
58 - 65
65 - 72
Frequency
15
15
9
6
12
(iv)
Class-Interval
37 - 44
44 - 51
51 - 58
58 - 65
65 - 72
Frequency
15
9
15
6
12
(v)
Class-Interval
37 - 44
44 - 51
51 - 58
58 - 65
65 - 72
Frequency
15
9
10
6
12
Question
12
12.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
33 - 40
52
40 - 47
44
47 - 54
33
54 - 61
19
61 - 68
8
(i)
Class-Interval
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
8
11
10
11
8
(ii)
Class-Interval
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
8
8
14
11
11
(iii)
Class-Interval
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
8
14
11
11
8
(iv)
Class-Interval
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
8
6
14
11
8
(v)
Class-Interval
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
8
11
14
11
8
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 67 kg
Class-Interval
35 - 43
43 - 51
51 - 59
59 - 67
Frequency
5
9
12
11
(i)
40
(ii)
36
(iii)
34
(iv)
37
(v)
38
Question
14
14.
During the medical check-up of 61 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is more than 61 kg
Class-Interval
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
75 - 82
Frequency
11
10
7
10
9
8
6
(i)
24
(ii)
21
(iii)
26
(iv)
23
(v)
22
Question
15
15.
Identify the class interval table for the given less than cumulative frequency table
Class-Interval
Cumulative Frequency
15 - 23
5
23 - 31
18
31 - 39
32
39 - 47
44
47 - 55
52
55 - 63
68
(i)
Class-Interval
15 - 23
23 - 31
31 - 39
39 - 47
47 - 55
55 - 63
Frequency
5
16
14
12
8
13
(ii)
Class-Interval
15 - 23
23 - 31
31 - 39
39 - 47
47 - 55
55 - 63
Frequency
5
13
18
12
8
16
(iii)
Class-Interval
15 - 23
23 - 31
31 - 39
39 - 47
47 - 55
55 - 63
Frequency
5
13
14
9
8
16
(iv)
Class-Interval
15 - 23
23 - 31
31 - 39
39 - 47
47 - 55
55 - 63
Frequency
5
14
13
12
8
16
(v)
Class-Interval
15 - 23
23 - 31
31 - 39
39 - 47
47 - 55
55 - 63
Frequency
5
13
14
12
8
16
Question
16
16.
Identify the class interval table for the given greater than cumulative frequency table
Class-Interval
Cumulative Frequency
12 - 21
93
21 - 30
80
30 - 39
69
39 - 48
58
48 - 57
45
57 - 66
29
66 - 75
15
(i)
Class-Interval
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
Frequency
13
11
11
17
16
14
15
(ii)
Class-Interval
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
Frequency
13
15
11
13
16
14
11
(iii)
Class-Interval
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
Frequency
13
11
11
13
16
14
15
(iv)
Class-Interval
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
Frequency
13
11
14
13
16
14
15
Assignment Key
1) (ii)
2) (iv)
3) (i)
4) (iv)
5) (iii)
6) (v)
7) (ii)
8) (i)
9) (iii)
10) (v)
11) (iv)
12) (v)
13) (iv)
14) (iv)
15) (v)
16) (iii)
