EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Frequency Distribution
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Given class interval table, find the sum of frequencies.
Class-Interval
14 - 23
24 - 33
34 - 43
44 - 53
54 - 63
64 - 73
74 - 83
Frequency
27
4
3
19
12
25
22
(i)
110
(ii)
111
(iii)
113
(iv)
112
(v)
115
Question
2
2.
The daily wages (in rupees) of
19
workers in a factory are given below.
Represent the data in the form of a frequency distribution
in inclusive form
taking class size
30
.
209
242
251
257
299
284
262
221
201
283
292
269
237
272
281
204
293
279
256
(i)
Wages (in rupees)
201 - 230
231 - 260
261 - 290
291 - 320
No. of Workers
3
5
7
4
(ii)
Wages (in rupees)
201 - 230
231 - 260
261 - 290
291 - 320
No. of Workers
4
5
4
3
(iii)
Wages (in rupees)
201 - 230
231 - 260
261 - 290
291 - 320
No. of Workers
4
5
7
3
(iv)
Wages (in rupees)
201 - 230
231 - 260
261 - 290
291 - 320
No. of Workers
4
10
7
3
(v)
Wages (in rupees)
201 - 230
231 - 260
261 - 290
291 - 320
No. of Workers
4
7
5
3
Question
3
3.
The marks obtained by
15
students in an examination are given below.
Represent the data in the form of a frequency distribution table
in exclusive form
taking class size
6
.
52
76
55
58
44
47
71
51
74
60
73
50
76
57
80
(i)
Marks
44 - 50
50 - 56
56 - 62
62 - 68
68 - 74
74 - 80
80 - 86
No. of Students
2
4
3
5
2
3
1
(ii)
Marks
44 - 50
50 - 56
56 - 62
62 - 68
68 - 74
74 - 80
80 - 86
No. of Students
2
4
3
0
2
3
1
(iii)
Marks
44 - 50
50 - 56
56 - 62
62 - 68
68 - 74
74 - 80
80 - 86
No. of Students
2
1
3
0
2
3
4
(iv)
Marks
44 - 50
50 - 56
56 - 62
62 - 68
68 - 74
74 - 80
80 - 86
No. of Students
2
4
1
0
2
3
1
(v)
Marks
44 - 50
50 - 56
56 - 62
62 - 68
68 - 74
74 - 80
80 - 86
No. of Students
2
3
4
0
2
3
1
Question
4
4.
The lower limit of the class with frequency x is
Class-Interval
Frequency
35 - 42
x
43 - 50
30
51 - 58
5
59 - 66
16
67 - 74
6
(i)
34
(ii)
32
(iii)
36
(iv)
35
(v)
37
Question
5
5.
Identify the cumulative frequency of the given grouped data.
class interval
17 - 22
22 - 27
27 - 32
32 - 37
37 - 42
42 - 47
frequency
6
6
13
22
9
25
(i)
class interval
Cumulative Frequency
17 - 22
6
22 - 27
12
27 - 32
25
32 - 37
49
37 - 42
58
42 - 47
83
(ii)
class interval
Cumulative Frequency
17 - 22
6
22 - 27
31
27 - 32
44
32 - 37
66
37 - 42
75
42 - 47
81
(iii)
class interval
Cumulative Frequency
17 - 22
6
22 - 27
12
27 - 32
23
32 - 37
45
37 - 42
54
42 - 47
79
(iv)
class interval
Cumulative Frequency
17 - 22
6
22 - 27
12
27 - 32
25
32 - 37
47
37 - 42
56
42 - 47
81
(v)
class interval
Cumulative Frequency
17 - 22
6
22 - 27
19
27 - 32
25
32 - 37
47
37 - 42
56
42 - 47
81
Question
6
6.
If some random sample data is arranged in a frequency distribution table in
exclusive form
with
9
-
18
as the first class,
then the observation
28
falls in which class?
(i)
26.5
-
36.5
(ii)
27
-
36
(iii)
27.5
-
35.5
(iv)
28
-
37
(v)
26
-
35
Question
7
7.
If the sum of the following frequency distribution is
46
,
find the value of 'x'.
Class-Interval
Frequency
20 - 29
6
30 - 39
8
40 - 49
9
50 - 59
5
60 - 69
9
70 - 79
x
80 - 89
2
(i)
8
(ii)
6
(iii)
5
(iv)
7
(v)
10
Question
8
8.
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 more than 45 kg
Class-Interval
36 - 45
45 - 54
54 - 63
63 - 72
Frequency
11
8
12
6
(i)
26
(ii)
27
(iii)
25
(iv)
23
(v)
29
Question
9
9.
The mid value of the class with frequency x is
Class-Interval
Frequency
16 - 21
19
21 - 26
x
26 - 31
26
31 - 36
10
36 - 41
6
(i)
24
(ii)
45
2
(iii)
47
2
(iv)
49
2
(v)
93
4
Question
10
10.
The number of classes of class size
5
required to represent
the given random sample in exclusive form
2
14
14
18
19
21
22
26
27
27
32
33
34
35
36
37
37
41
46
50
50
(i)
10
(ii)
11
(iii)
7
(iv)
13
(v)
9
Question
11
11.
In exclusive form representation, the observation
33
falls in which class?
(i)
43
-
53
(ii)
38
-
48
(iii)
23
-
33
(iv)
28
-
33
(v)
33
-
43
Question
12
12.
The class mark of the class with frequency x is
Class-Interval
Frequency
20 - 25
2
26 - 31
x
32 - 37
29
38 - 43
20
44 - 49
14
(i)
113
4
(ii)
59
2
(iii)
29
(iv)
55
2
(v)
57
2
Question
13
13.
Arrange the following data
34
26
25
31
39
23
27
13
39
29
in ascending order
(i)
16
21
14
38
40
33
15
20
40
32
(ii)
13
23
25
26
27
29
31
34
39
39
(iii)
28
40
14
38
27
28
34
38
10
17
(iv)
39
11
30
15
20
39
27
33
32
13
(v)
30
39
24
36
14
21
36
21
16
29
Question
14
14.
Convert the discontinuous form of the class interval 28 - 30 to continuous form
(i)
27
-
31
(ii)
27.5
-
31
(iii)
27
-
30.5
(iv)
28
-
30
(v)
27.5
-
30.5
Question
15
15.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
40 - 49
11
50 - 59
17
60 - 69
32
70 - 79
39
80 - 89
55
90 - 99
71
100 - 109
85
110 - 119
96
(i)
Class-Interval
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
110 - 119
Frequency
11
6
15
7
12
16
14
11
(ii)
Class-Interval
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
110 - 119
Frequency
11
11
15
7
16
16
14
6
(iii)
Class-Interval
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
110 - 119
Frequency
11
6
7
15
16
16
14
11
(iv)
Class-Interval
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
110 - 119
Frequency
11
6
13
7
16
16
14
11
(v)
Class-Interval
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
110 - 119
Frequency
11
6
15
7
16
16
14
11
Question
16
16.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
24 - 28
11
28 - 32
24
32 - 36
36
36 - 40
47
40 - 44
57
44 - 48
67
(i)
Class-Interval
24 - 28
28 - 32
32 - 36
36 - 40
40 - 44
44 - 48
Frequency
11
12
13
11
10
10
(ii)
Class-Interval
24 - 28
28 - 32
32 - 36
36 - 40
40 - 44
44 - 48
Frequency
11
13
16
11
10
10
(iii)
Class-Interval
24 - 28
28 - 32
32 - 36
36 - 40
40 - 44
44 - 48
Frequency
11
13
12
16
10
10
(iv)
Class-Interval
24 - 28
28 - 32
32 - 36
36 - 40
40 - 44
44 - 48
Frequency
11
13
12
11
10
10
(v)
Class-Interval
24 - 28
28 - 32
32 - 36
36 - 40
40 - 44
44 - 48
Frequency
11
10
12
11
10
13
Question
17
17.
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
No. of Patients
83
32
11
28
67
65
(i)
Age (in years)
Cumulative Frequency
10 - 20
83
21 - 31
115
32 - 42
126
43 - 53
149
54 - 64
216
65 - 75
281
(ii)
Age (in years)
Cumulative Frequency
10 - 20
83
21 - 31
115
32 - 42
126
43 - 53
154
54 - 64
221
65 - 75
286
(iii)
Age (in years)
Cumulative Frequency
10 - 20
83
21 - 31
94
32 - 42
126
43 - 53
154
54 - 64
221
65 - 75
286
(iv)
Age (in years)
Cumulative Frequency
10 - 20
83
21 - 31
115
32 - 42
130
43 - 53
158
54 - 64
225
65 - 75
290
(v)
Age (in years)
Cumulative Frequency
10 - 20
83
21 - 31
148
32 - 42
159
43 - 53
187
54 - 64
254
65 - 75
286
Question
18
18.
The following outcomes were noted when a dice was thrown 20 times. Identify the frequency distribution table for the given data.
3
5
3
4
1
1
4
1
3
2
4
5
3
6
1
1
5
2
4
6
(i)
Outcome
1
2
3
4
5
6
No. of outcomes
6
3
1
3
6
1
(ii)
Outcome
1
2
3
4
5
6
No. of outcomes
6
2
3
4
3
2
(iii)
Outcome
1
2
3
4
5
6
No. of outcomes
2
1
2
6
4
5
(iv)
Outcome
1
2
3
4
5
6
No. of outcomes
5
2
5
4
2
2
(v)
Outcome
1
2
3
4
5
6
No. of outcomes
5
2
4
4
3
2
Question
19
19.
The class size used in the below table is
Class-Interval
35 - 41
42 - 48
49 - 55
56 - 62
Frequency
29
12
12
9
(i)
4
(ii)
8
(iii)
7
(iv)
10
(v)
6
Question
20
20.
Given class interval
31
-
36
in exclusive form, its
upper limit is
(i)
35
(ii)
37
(iii)
39
(iv)
34
(v)
36
Question
21
21.
Given class interval
21
-
31
in exclusive form, its
class mark is
(i)
24
(ii)
25
(iii)
26
(iv)
27
(v)
28
Question
22
22.
The number of children in 18 families are given below. Identify the frequency distribution table for the given data.
4
4
4
3
0
5
0
5
2
1
0
3
5
5
3
3
4
0
(i)
No. of children
0
1
2
3
4
5
No. of families
1
5
1
2
2
7
(ii)
No. of children
0
1
2
3
4
5
No. of families
4
1
1
4
4
4
(iii)
No. of children
0
2
3
4
5
No. of families
5
1
4
4
4
(iv)
No. of children
0
1
2
3
4
5
No. of families
2
3
3
5
2
3
(v)
No. of children
0
1
2
3
4
5
No. of families
5
1
1
3
4
4
Question
23
23.
Convert the continuous form of the class interval 18.5 - 27.5 to discontinuous form
(i)
19
-
27.5
(ii)
19.5
-
26.5
(iii)
18.5
-
27
(iv)
19
-
27
(v)
18.5
-
27.5
Question
24
24.
Which of the following are discontinuous variables?
a)
Number of members in a family.
b)
Wages of workers in a factory.
c)
Heights of children in a class.
d)
Number of workers in a factory.
e)
Weights of persons in a group.
(i)
{a,d}
(ii)
{c,d,a}
(iii)
{c,d}
(iv)
{b,a}
(v)
{e,b,a}
Question
25
25.
The class boundaries of 18 - 27 which is in exclusive form are
(i)
18
-
27
(ii)
17.5
-
27
(iii)
18.5
-
26.5
(iv)
18
-
27.5
(v)
17.5
-
27.5
Assignment Key
1) (iv)
2) (iii)
3) (ii)
4) (iv)
5) (iv)
6) (ii)
7) (iv)
8) (i)
9) (iii)
10) (i)
11) (v)
12) (v)
13) (ii)
14) (v)
15) (v)
16) (iv)
17) (ii)
18) (v)
19) (iii)
20) (v)
21) (iii)
22) (ii)
23) (iv)
24) (i)
25) (i)
