EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Frequency Distribution
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Convert the inclusive form of the class interval 15 - 23 to exclusive form
(i)
14.5
-
23.5
(ii)
15
-
23
(iii)
14.5
-
24
(iv)
14
-
24
(v)
14
-
23.5
Question
2
2.
The daily wages (in rupees) of
16
workers in a factory are given below.
Represent the data in the form of a frequency distribution
in inclusive form
taking class size
30
.
250
282
215
264
229
255
256
214
211
260
292
300
264
267
231
250
(i)
Wages (in rupees)
211 - 240
241 - 270
271 - 300
No. of Workers
8
5
3
(ii)
Wages (in rupees)
211 - 240
241 - 270
271 - 300
No. of Workers
3
8
5
(iii)
Wages (in rupees)
211 - 240
241 - 270
271 - 300
No. of Workers
5
8
3
(iv)
Wages (in rupees)
211 - 240
241 - 270
271 - 300
No. of Workers
5
6
3
(v)
Wages (in rupees)
211 - 240
241 - 270
271 - 300
No. of Workers
5
13
3
Question
3
3.
Which of the following class intervals are in exclusive form?
a)
29 - 34 , 35 - 40 , 41 - 46,...
b)
29 - 34 , 34 - 39 , 39 - 44,...
c)
28.5 - 34.5 , 34.5 - 40.5 , 40.5 - 46.5...
d)
44 - 49 , 49 - 54 , 54 - 59...
e)
47 - 52 , 53 - 58 , 59 - 64,...
(i)
{a,e,d}
(ii)
{b,c,d}
(iii)
{a,b}
(iv)
{a,b,c}
(v)
{e,c}
Question
4
4.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
21 - 27
21
28 - 34
29
35 - 41
x
42 - 48
5
49 - 55
26
(i)
34.5
-
42
(ii)
34
-
42
(iii)
34.5
-
41.5
(iv)
34
-
41.5
(v)
35
-
41
Question
5
5.
The lower limit of the class with frequency x is
Class-Interval
Frequency
26 - 34
12
35 - 43
x
44 - 52
24
53 - 61
23
62 - 70
2
(i)
38
(ii)
35
(iii)
34
(iv)
32
(v)
36
Question
6
6.
Which of the following are discontinuous variables?
a)
Number of members in a family.
b)
Number of workers in a factory.
c)
Heights of children in a class.
d)
Wages of workers in a factory.
e)
Weights of persons in a group.
(i)
{d,b}
(ii)
{d,b,a}
(iii)
{e,c,a}
(iv)
{c,a}
(v)
{a,b}
Question
7
7.
Given class interval
41
-
50
in exclusive form, its
class mark is
(i)
46
(ii)
93
2
(iii)
91
2
(iv)
181
4
(v)
89
2
Question
8
8.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
24 - 32
13
33 - 41
21
42 - 50
35
51 - 59
50
60 - 68
56
(i)
Class-Interval
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
Frequency
13
6
14
15
8
(ii)
Class-Interval
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
Frequency
13
14
8
15
6
(iii)
Class-Interval
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
Frequency
13
8
16
15
6
(iv)
Class-Interval
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
Frequency
13
8
14
15
6
(v)
Class-Interval
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
Frequency
13
12
14
15
6
Question
9
9.
Given class interval
35
-
39
in exclusive form, its
lower limit is
(i)
32
(ii)
38
(iii)
36
(iv)
35
(v)
34
Question
10
10.
The mid value of the class with frequency x is
Class-Interval
Frequency
9 - 14
29
15 - 20
4
21 - 26
x
27 - 32
2
33 - 38
13
(i)
49
2
(ii)
93
4
(iii)
24
(iv)
47
2
(v)
45
2
Question
11
11.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
12 - 20
6
21 - 29
14
30 - 38
x
39 - 47
20
48 - 56
13
(i)
29
-
38.5
(ii)
29
-
39
(iii)
29.5
-
38.5
(iv)
29.5
-
39
(v)
30
-
38
Question
12
12.
The daily wages (in rupees) of
18
workers in a factory are given below.
Represent the data in the form of a frequency distribution
in exclusive form
taking class size
30
.
235
243
202
213
297
277
213
294
271
263
271
229
266
203
257
220
287
237
(i)
Wages (in rupees)
202 - 232
232 - 262
262 - 292
292 - 322
No. of Workers
6
4
3
2
(ii)
Wages (in rupees)
202 - 232
232 - 262
262 - 292
292 - 322
No. of Workers
2
4
6
6
(iii)
Wages (in rupees)
202 - 232
232 - 262
262 - 292
292 - 322
No. of Workers
6
6
4
2
(iv)
Wages (in rupees)
202 - 232
232 - 262
262 - 292
292 - 322
No. of Workers
6
4
6
2
(v)
Wages (in rupees)
202 - 232
232 - 262
262 - 292
292 - 322
No. of Workers
6
7
6
2
Question
13
13.
The marks obtained by
18
students in an examination are given below.
Represent the data in the form of a frequency distribution table
in exclusive form
taking class size
7
.
41
44
78
78
65
67
72
59
56
40
41
70
54
50
57
78
49
61
(i)
Marks
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
75 - 82
No. of Students
4
2
9
3
2
3
(ii)
Marks
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
75 - 82
No. of Students
4
2
4
6
2
3
(iii)
Marks
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
75 - 82
No. of Students
4
4
2
3
2
3
(iv)
Marks
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
75 - 82
No. of Students
4
3
4
3
2
2
(v)
Marks
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
75 - 82
No. of Students
4
2
4
3
2
3
Question
14
14.
Given the sample data, prepare the class interval table in
inclusive
form with
3
as min value and a class size of
9
.
32
37
25
9
40
25
26
40
15
26
41
45
3
33
8
14
21
6
32
16
(i)
Class-Interval
3 - 11
12 - 20
21 - 29
30 - 38
39 - 47
Frequency
4
5
3
4
4
(ii)
Class-Interval
3 - 11
12 - 20
21 - 29
30 - 38
39 - 47
Frequency
4
7
5
4
4
(iii)
Class-Interval
3 - 11
12 - 20
21 - 29
30 - 38
39 - 47
Frequency
4
4
5
4
3
(iv)
Class-Interval
3 - 11
12 - 20
21 - 29
30 - 38
39 - 47
Frequency
4
3
5
4
4
(v)
Class-Interval
3 - 12
12 - 21
21 - 30
30 - 39
39 - 48
Frequency
4
3
5
4
4
Question
15
15.
During the medical check-up of 42 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is more than 75 kg
Class-Interval
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
Frequency
9
9
8
6
5
5
(i)
13
(ii)
10
(iii)
9
(iv)
11
(v)
8
Question
16
16.
Convert the exclusive form of the class interval 22.5 - 25.5 to inclusive form
(i)
23
-
25
(ii)
23.5
-
24.5
(iii)
23
-
25.5
(iv)
22.5
-
25.5
(v)
22.5
-
25
Question
17
17.
If some random sample data is arranged in a frequency distribution table in
exclusive form
with
2
-
8
as the first class,
then the observation
27
falls in which class?
(i)
26.5
-
31.5
(ii)
26
-
32
(iii)
27
-
33
(iv)
25.5
-
32.5
(v)
25
-
31
Question
18
18.
Given class interval
26
-
28
in exclusive form, its
class size is
(i)
2
(ii)
3
(iii)
1
(iv)
0
(v)
5
Question
19
19.
The sale of shirts of various sizes at a shop on a particular day is given below. Identify the frequency distribution table for the given data.
24
21
31
25
39
22
35
37
37
39
38
38
34
23
35
26
30
38
35
24
30
30
(i)
Size
21
22
23
24
25
26
30
31
35
37
38
39
No. of Shirts
1
1
1
2
1
1
3
2
3
2
3
2
(ii)
Size
21
22
23
24
25
26
30
31
34
35
37
38
39
No. of Shirts
1
1
1
2
1
1
3
1
1
2
3
3
2
(iii)
Size
21
22
23
24
25
27
28
30
31
32
33
35
39
40
No. of Shirts
2
1
1
2
1
1
2
1
2
1
1
3
1
3
(iv)
Size
21
22
23
24
25
26
30
31
34
35
37
38
39
No. of Shirts
1
1
1
2
1
1
3
1
1
3
2
3
2
(v)
Size
21
22
24
26
29
31
32
37
38
39
40
No. of Shirts
1
4
2
2
1
1
1
4
2
1
3
Question
20
20.
Identify the cumulative frequency of the given grouped data.
class interval
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
frequency
5
18
15
18
7
15
(i)
class interval
Cumulative Frequency
20 - 25
5
25 - 30
23
30 - 35
38
35 - 40
56
40 - 45
63
45 - 50
78
(ii)
class interval
Cumulative Frequency
20 - 25
5
25 - 30
23
30 - 35
33
35 - 40
51
40 - 45
58
45 - 50
73
(iii)
class interval
Cumulative Frequency
20 - 25
5
25 - 30
20
30 - 35
38
35 - 40
56
40 - 45
63
45 - 50
78
(iv)
class interval
Cumulative Frequency
20 - 25
5
25 - 30
23
30 - 35
38
35 - 40
61
40 - 45
68
45 - 50
83
(v)
class interval
Cumulative Frequency
20 - 25
5
25 - 30
20
30 - 35
35
35 - 40
53
40 - 45
60
45 - 50
78
Question
21
21.
The class mark of the class with frequency x is
Class-Interval
Frequency
18 - 23
19
24 - 29
26
30 - 35
x
36 - 41
14
42 - 47
11
(i)
67
2
(ii)
65
2
(iii)
33
(iv)
63
2
(v)
129
4
Question
22
22.
If the sum of the following frequency distribution is
28
,
find the value of 'x'.
Class-Interval
Frequency
10 - 20
3
21 - 31
1
32 - 42
2
43 - 53
3
54 - 64
3
65 - 75
3
76 - 86
7
87 - 97
x
(i)
5
(ii)
7
(iii)
8
(iv)
4
(v)
6
Question
23
23.
Which of the following are continuous variables?
a)
Wages of workers in a factory
b)
Weights of persons in a group
c)
Number of players in a team
d)
Marks obtained by student in a particular subject
e)
Population of cities
(i)
{e,c,a}
(ii)
{a,b}
(iii)
{d,b,a}
(iv)
{c,a}
(v)
{d,b}
Question
24
24.
The upper limit of the class with frequency x is
Class-Interval
Frequency
42 - 49
x
49 - 56
1
56 - 63
17
63 - 70
17
70 - 77
23
(i)
48
(ii)
52
(iii)
46
(iv)
49
(v)
50
Question
25
25.
Find the cumulative frequency of class
55
-
65
.
Class-Interval
33 - 43
44 - 54
55 - 65
66 - 76
Frequency
22
10
7
6
(i)
38
(ii)
40
(iii)
41
(iv)
37
(v)
39
Assignment Key
1) (i)
2) (iii)
3) (ii)
4) (iii)
5) (ii)
6) (v)
7) (iii)
8) (iv)
9) (iv)
10) (iv)
11) (iii)
12) (iv)
13) (v)
14) (iv)
15) (ii)
16) (i)
17) (ii)
18) (i)
19) (iv)
20) (i)
21) (ii)
22) (v)
23) (ii)
24) (iv)
25) (v)
