EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Frequency Distribution
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
The mid value of the class with frequency x is
Class-Interval
Frequency
18 - 23
26
24 - 29
x
30 - 35
30
36 - 41
23
42 - 47
17
(i)
105
4
(ii)
55
2
(iii)
53
2
(iv)
27
(v)
51
2
Question
2
2.
The marks obtained by
19
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
.
72
71
58
43
64
55
42
65
46
50
43
66
57
67
41
61
75
58
50
(i)
Marks
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
No. of Students
5
2
5
4
3
(ii)
Marks
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
No. of Students
5
6
5
4
3
(iii)
Marks
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
No. of Students
5
2
10
4
3
(iv)
Marks
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
No. of Students
5
5
2
4
3
(v)
Marks
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
No. of Students
5
3
5
4
2
Question
3
3.
The class boundaries of 27 - 30 which is in exclusive form are
(i)
27
-
30.5
(ii)
27.5
-
29.5
(iii)
27
-
30
(iv)
26.5
-
30
(v)
26.5
-
30.5
Question
4
4.
The marks obtained by
20
students in an examination are given below.
Represent the data in the form of a frequency distribution table
in exclusive form
taking class size
5
.
66
58
79
66
43
48
76
59
63
61
71
71
63
40
51
74
47
63
65
59
(i)
Marks
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
No. of Students
2
2
3
1
4
3
3
2
(ii)
Marks
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
No. of Students
2
2
1
3
4
3
3
2
(iii)
Marks
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
No. of Students
2
2
1
3
6
3
3
2
(iv)
Marks
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
No. of Students
2
2
5
3
4
3
3
2
Question
5
5.
Given class interval
48
-
55
in exclusive form, its
upper limit is
(i)
55
(ii)
56
(iii)
52
(iv)
57
(v)
54
Question
6
6.
Which of the following are discontinuous variables?
a)
Weights of persons in a group.
b)
Number of workers in a factory.
c)
Wages of workers in a factory.
d)
Heights of children in a class.
e)
Number of members in a family.
(i)
{a,b}
(ii)
{d,a,b}
(iii)
{c,e}
(iv)
{b,e}
(v)
{c,e,b}
Question
7
7.
Arrange the following data
32
18
17
35
21
24
38
28
10
11
in ascending order
(i)
27
18
25
24
40
21
11
18
22
25
(ii)
17
33
26
38
14
27
15
39
22
34
(iii)
22
35
24
36
32
33
22
29
15
18
(iv)
22
38
10
17
35
34
16
14
32
38
(v)
10
11
17
18
21
24
28
32
35
38
Question
8
8.
Given class interval table, find the sum of frequencies.
Class-Interval
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
97 - 107
Frequency
4
29
1
8
23
27
26
(i)
119
(ii)
115
(iii)
117
(iv)
118
(v)
121
Question
9
9.
Which of the following are continuous variables?
a)
Weights of persons in a group.
b)
Number of members in a family.
c)
Number of workers in a factory.
d)
Heights of children in a class.
e)
Wages of workers in a factory.
(i)
{b,a,d}
(ii)
{b,c,e}
(iii)
{c,d}
(iv)
{b,a}
(v)
{a,d,e}
Question
10
10.
Convert the discontinuous form of the class interval 31 - 36 to continuous form
(i)
30.5
-
37
(ii)
30.5
-
36.5
(iii)
30
-
37
(iv)
30
-
36.5
(v)
31
-
36
Question
11
11.
Find the cumulative frequency of class
59
-
66
.
Class-Interval
27 - 34
35 - 42
43 - 50
51 - 58
59 - 66
Frequency
16
11
19
6
17
(i)
71
(ii)
69
(iii)
68
(iv)
70
(v)
67
Question
12
12.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
16 - 26
27 - 37
38 - 48
49 - 59
60 - 70
Frequency
13
25
32
36
42
(i)
Class-Interval
16.5 - 26.5
27.5 - 37.5
38.5 - 48.5
49.5 - 59.5
60.5 - 70.5
Frequency
13
25
32
36
42
(ii)
Class-Interval
15.5 - 26.5
26.5 - 37.5
37.5 - 48.5
48.5 - 59.5
59.5 - 70.5
Frequency
13
25
32
36
42
(iii)
Class-Interval
15.5 - 26
26.5 - 37
37.5 - 48
48.5 - 59
59.5 - 70
Frequency
13
25
32
36
42
(iv)
Class-Interval
16 - 26
26 - 36
36 - 46
46 - 56
56 - 66
Frequency
29
38
23
24
14
(v)
Class-Interval
15.5 - 25.5
26.5 - 36.5
37.5 - 47.5
48.5 - 58.5
59.5 - 69.5
Frequency
13
25
32
36
42
Question
13
13.
Which of the following are discrete variables?
a)
Rainfall at a place over a month
b)
Marks obtained by student in a particular subject
c)
Weights of persons in a group
d)
Number of workers in a factory
e)
Wages of workers in a factory
(i)
{c,d,b}
(ii)
{b,d}
(iii)
{c,d}
(iv)
{a,b}
(v)
{e,a,b}
Question
14
14.
The daily wages (in rupees) of
20
workers in a factory are given below.
Represent the data in the form of a frequency distribution
in exclusive form
taking class size
20
.
207
269
221
219
223
226
263
257
206
238
247
233
298
285
269
203
271
300
272
217
(i)
Wages (in rupees)
203 - 223
223 - 243
243 - 263
263 - 283
283 - 303
No. of Workers
6
9
2
5
3
(ii)
Wages (in rupees)
203 - 223
223 - 243
243 - 263
263 - 283
283 - 303
No. of Workers
6
4
4
5
3
(iii)
Wages (in rupees)
203 - 223
223 - 243
243 - 263
263 - 283
283 - 303
No. of Workers
6
2
4
5
3
(iv)
Wages (in rupees)
203 - 223
223 - 243
243 - 263
263 - 283
283 - 303
No. of Workers
6
3
2
5
4
(v)
Wages (in rupees)
203 - 223
223 - 243
243 - 263
263 - 283
283 - 303
No. of Workers
6
4
2
5
3
Question
15
15.
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 inclusive form
taking class size
20
.
218
287
241
286
216
289
280
214
252
281
280
281
254
215
280
264
257
220
(i)
Wages (in rupees)
214 - 233
234 - 253
254 - 273
274 - 293
No. of Workers
5
3
2
8
(ii)
Wages (in rupees)
214 - 233
234 - 253
254 - 273
274 - 293
No. of Workers
5
2
6
8
(iii)
Wages (in rupees)
214 - 233
234 - 253
254 - 273
274 - 293
No. of Workers
5
2
3
8
(iv)
Wages (in rupees)
214 - 233
234 - 253
254 - 273
274 - 293
No. of Workers
5
5
3
8
(v)
Wages (in rupees)
214 - 233
234 - 253
254 - 273
274 - 293
No. of Workers
8
2
3
5
Question
16
16.
The class boundaries of 13 - 16 which is in inclusive form are
(i)
12
-
17
(ii)
12
-
16.5
(iii)
13
-
16
(iv)
12.5
-
17
(v)
12.5
-
16.5
Question
17
17.
If some random sample data is arranged in a frequency distribution table in
inclusive form
with
1
-
9
as the first class,
then the observation
24
falls in which class?
(i)
18.5
-
27.5
(ii)
18
-
26
(iii)
20
-
28
(iv)
19.5
-
26.5
(v)
19
-
27
Question
18
18.
The class marks of a frequency distribution are
32.5 , 42.5 , 52.5 , 62.5
.
Find the class size and class intervals
in inclusive form
(i)
10
;
28
-
37
,
38
-
47
,
48
-
57
,
58
-
67
(ii)
10
;
29
-
38
,
39
-
48
,
49
-
58
,
59
-
68
(iii)
9
;
28
-
37
,
37
-
46
,
46
-
55
,
55
-
64
(iv)
10
;
27
-
37
,
37
-
47
,
47
-
57
,
57
-
67
(v)
10
;
27
-
36
,
37
-
46
,
47
-
56
,
57
-
66
Question
19
19.
Given class interval
44
-
46
in exclusive form, its
mid value is
(i)
44
(ii)
46
(iii)
42
(iv)
47
(v)
45
Question
20
20.
Convert the inclusive form of the class interval 37 - 47 to exclusive form
(i)
36
-
47.5
(ii)
36
-
48
(iii)
37
-
47
(iv)
36.5
-
47.5
(v)
36.5
-
48
Question
21
21.
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
321 - 341
342 - 362
363 - 383
384 - 404
405 - 425
Labourers
6
10
4
20
2
2
(i)
Wages (in rupees)
Cumulative Frequency
300 - 320
6
321 - 341
10
342 - 362
20
363 - 383
40
384 - 404
42
405 - 425
44
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 320
6
321 - 341
16
342 - 362
20
363 - 383
43
384 - 404
45
405 - 425
47
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 320
6
321 - 341
16
342 - 362
25
363 - 383
45
384 - 404
47
405 - 425
49
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 320
6
321 - 341
8
342 - 362
12
363 - 383
32
384 - 404
34
405 - 425
44
(v)
Wages (in rupees)
Cumulative Frequency
300 - 320
6
321 - 341
16
342 - 362
20
363 - 383
40
384 - 404
42
405 - 425
44
Question
22
22.
The following outcomes were noted when a dice was thrown 19 times. Identify the frequency distribution table for the given data.
5
1
4
1
6
4
4
1
4
1
1
2
5
6
2
4
6
3
3
(i)
Outcome
1
2
3
4
5
6
No. of outcomes
5
2
2
5
2
3
(ii)
Outcome
1
2
3
4
5
6
No. of outcomes
4
3
4
3
2
3
(iii)
Outcome
1
2
3
4
5
6
No. of outcomes
4
2
2
5
2
4
(iv)
Outcome
1
2
3
4
5
6
No. of outcomes
6
2
2
4
2
3
(v)
Outcome
1
2
3
4
5
6
No. of outcomes
4
4
4
1
2
4
Question
23
23.
Which of the following are continuous variables?
a)
Marks obtained by student in a particular subject
b)
Number of players in a team
c)
Number of members in a family
d)
Temperature at a place over a month
e)
Rainfall at a place over a month
(i)
{a,d}
(ii)
{d,e}
(iii)
{c,a,d}
(iv)
{b,e,d}
(v)
{b,e}
Question
24
24.
Which of the following class intervals are in exclusive form?
a)
27 - 32 , 33 - 38 , 39 - 44,...
b)
45 - 50 , 51 - 56 , 57 - 62,...
c)
26.5 - 32.5 , 32.5 - 38.5 , 38.5 - 44.5...
d)
27 - 32 , 32 - 37 , 37 - 42,...
e)
42 - 47 , 47 - 52 , 52 - 57...
(i)
{a,c,d}
(ii)
{a,c}
(iii)
{c,d,e}
(iv)
{a,b,e}
(v)
{b,d}
Question
25
25.
Given the sample data, prepare the class interval table in
inclusive
form with
1
as min value and a class size of
9
.
47
20
38
2
8
31
23
16
31
27
36
9
28
5
49
42
13
1
2
20
(i)
Class-Interval
1 - 9
10 - 18
19 - 27
28 - 36
37 - 45
46 - 54
Frequency
6
4
2
4
2
2
(ii)
Class-Interval
1 - 9
10 - 18
19 - 27
28 - 36
37 - 45
46 - 54
Frequency
6
2
4
4
2
2
(iii)
Class-Interval
1 - 9
10 - 18
19 - 27
28 - 36
37 - 45
46 - 54
Frequency
6
2
8
4
2
2
(iv)
Class-Interval
1 - 10
10 - 19
19 - 28
28 - 37
37 - 46
46 - 55
Frequency
6
2
4
4
2
2
Assignment Key
1) (iii)
2) (i)
3) (iii)
4) (ii)
5) (i)
6) (iv)
7) (v)
8) (iv)
9) (v)
10) (ii)
11) (ii)
12) (ii)
13) (ii)
14) (v)
15) (iii)
16) (v)
17) (v)
18) (i)
19) (v)
20) (iv)
21) (v)
22) (i)
23) (ii)
24) (iii)
25) (ii)
