EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Frequency Distribution
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
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 - 30
31 - 41
42 - 52
53 - 63
64 - 74
No. of Patients
20
73
42
54
83
(i)
Age (in years)
Cumulative Frequency
20 - 30
20
31 - 41
93
42 - 52
135
53 - 63
189
64 - 74
272
(ii)
Age (in years)
Cumulative Frequency
20 - 30
20
31 - 41
62
42 - 52
135
53 - 63
189
64 - 74
272
(iii)
Age (in years)
Cumulative Frequency
20 - 30
20
31 - 41
93
42 - 52
137
53 - 63
191
64 - 74
274
(iv)
Age (in years)
Cumulative Frequency
20 - 30
20
31 - 41
89
42 - 52
131
53 - 63
185
64 - 74
268
(v)
Age (in years)
Cumulative Frequency
20 - 30
20
31 - 41
103
42 - 52
145
53 - 63
199
64 - 74
272
Question
2
2.
Which of the following are continuous variables?
a)
Marks obtained by student in a particular subject
b)
Temperature at a place over a month
c)
Number of members in a family
d)
Rainfall at a place over a month
e)
Number of workers in a factory
(i)
{a,b}
(ii)
{e,a,b}
(iii)
{c,d}
(iv)
{c,d,b}
(v)
{b,d}
Question
3
3.
The class marks of a frequency distribution are
18.5 , 23.5 , 28.5 , 33.5
.
Find the class size and class intervals
in exclusive form
(i)
5
;
15
-
20
,
20
-
25
,
25
-
30
,
30
-
35
(ii)
5
;
16
-
21
,
21
-
26
,
26
-
31
,
31
-
36
(iii)
7
;
15
-
21
,
22
-
28
,
29
-
35
,
36
-
42
(iv)
6
;
16
-
21
,
22
-
27
,
28
-
33
,
34
-
39
(v)
5
;
17
-
22
,
22
-
27
,
27
-
32
,
32
-
37
Question
4
4.
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
.
200
282
282
229
296
289
281
260
244
230
214
203
281
256
225
295
(i)
Wages (in rupees)
200 - 229
230 - 259
260 - 289
290 - 319
No. of Workers
5
3
3
2
(ii)
Wages (in rupees)
200 - 229
230 - 259
260 - 289
290 - 319
No. of Workers
5
3
6
2
(iii)
Wages (in rupees)
200 - 229
230 - 259
260 - 289
290 - 319
No. of Workers
5
8
6
2
(iv)
Wages (in rupees)
200 - 229
230 - 259
260 - 289
290 - 319
No. of Workers
5
6
3
2
(v)
Wages (in rupees)
200 - 229
230 - 259
260 - 289
290 - 319
No. of Workers
2
3
6
5
Question
5
5.
Convert the exclusive form of the class interval 25.5 - 29.5 to inclusive form
(i)
26
-
29.5
(ii)
25.5
-
29.5
(iii)
26.5
-
28.5
(iv)
26
-
29
(v)
25.5
-
29
Question
6
6.
During the medical check-up of 74 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is less than 50 kg
Class-Interval
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
Frequency
10
11
9
7
12
11
9
5
(i)
24
(ii)
19
(iii)
20
(iv)
21
(v)
22
Question
7
7.
Identify the frequency distribution table for the given heights of 10 students in cm
162
167
172
173
170
166
163
158
169
152
(i)
Height (in cm)
152
158
162
163
166
167
169
170
172
173
No. of Students
1
1
1
1
1
1
1
1
1
1
(ii)
Height (in cm)
151
154
156
161
162
165
166
171
175
179
No. of Students
1
1
1
1
1
1
1
1
1
1
(iii)
Height (in cm)
152
158
162
163
166
167
169
172
173
No. of Students
1
1
1
2
1
1
1
1
1
(iv)
Height (in cm)
152
158
162
163
166
167
169
170
173
No. of Students
1
1
1
1
1
1
2
1
1
(v)
Height (in cm)
152
156
162
163
166
167
168
172
177
180
No. of Students
1
1
1
1
1
1
1
1
1
1
Question
8
8.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
23 - 30
12
30 - 37
x
37 - 44
8
44 - 51
22
51 - 58
9
(i)
30
-
37.5
(ii)
29.5
-
37.5
(iii)
29.5
-
37
(iv)
30
-
37
(v)
30.5
-
36.5
Question
9
9.
The class boundaries of 45 - 53 which is in exclusive form are
(i)
44.5
-
53.5
(ii)
45
-
53.5
(iii)
44.5
-
53
(iv)
45
-
53
(v)
45.5
-
52.5
Question
10
10.
The class mark of the class with frequency x is
Class-Interval
Frequency
8 - 13
14
14 - 19
15
20 - 25
x
26 - 31
2
32 - 37
4
(i)
23
(ii)
47
2
(iii)
89
4
(iv)
45
2
(v)
43
2
Question
11
11.
Given class interval
41
-
48
in exclusive form, its
mid value is
(i)
45
(ii)
87
2
(iii)
91
2
(iv)
177
4
(v)
89
2
Question
12
12.
Given class interval
17
-
24
in exclusive form, its
class size is
(i)
7
(ii)
5
(iii)
8
(iv)
6
(v)
9
Question
13
13.
Identify the frequency distribution table for the given ages of 14 students in years
10
22
22
16
12
10
13
19
14
20
15
23
14
15
(i)
Age (in years)
10
12
13
14
15
16
19
20
22
No. of Students
2
1
2
2
2
1
1
1
2
(ii)
Age (in years)
10
12
13
14
15
17
21
23
24
25
No. of Students
2
1
1
1
1
1
1
3
2
1
(iii)
Age (in years)
10
12
13
14
15
16
19
20
22
23
No. of Students
2
1
1
2
2
1
1
1
2
1
(iv)
Age (in years)
10
12
13
14
15
16
19
20
22
23
No. of Students
1
1
1
3
2
1
1
1
2
1
(v)
Age (in years)
10
11
12
14
15
17
18
22
25
No. of Students
1
1
3
1
1
3
1
1
2
Question
14
14.
If the upper and lower limit of class interval are 21 and 12 respectively, then the class interval is
(i)
12.5
-
20.5
(ii)
11.5
-
21
(iii)
12
-
21
(iv)
12
-
21.5
(v)
11.5
-
21.5
Question
15
15.
The class boundaries of 43 - 48 which is in inclusive form are
(i)
42
-
48.5
(ii)
42.5
-
48.5
(iii)
42
-
49
(iv)
43
-
48
(v)
42.5
-
49
Question
16
16.
During the medical check-up of 62 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is more than 77 kg
Class-Interval
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
86 - 95
Frequency
9
10
11
12
5
9
6
(i)
14
(ii)
17
(iii)
16
(iv)
12
(v)
15
Question
17
17.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
40 - 44
45
44 - 48
38
48 - 52
31
52 - 56
23
56 - 60
18
60 - 64
10
(i)
Class-Interval
40 - 44
44 - 48
48 - 52
52 - 56
56 - 60
60 - 64
Frequency
7
10
8
5
8
7
(ii)
Class-Interval
40 - 44
44 - 48
48 - 52
52 - 56
56 - 60
60 - 64
Frequency
7
8
7
5
8
10
(iii)
Class-Interval
40 - 44
44 - 48
48 - 52
52 - 56
56 - 60
60 - 64
Frequency
7
7
11
5
8
10
(iv)
Class-Interval
40 - 44
44 - 48
48 - 52
52 - 56
56 - 60
60 - 64
Frequency
7
7
8
9
8
10
(v)
Class-Interval
40 - 44
44 - 48
48 - 52
52 - 56
56 - 60
60 - 64
Frequency
7
7
8
5
8
10
Question
18
18.
Which of the following are discontinuous variables?
a)
Number of members in a family.
b)
Heights of children in a class.
c)
Weights of persons in a group.
d)
Number of workers in a factory.
e)
Wages of workers in a factory.
(i)
{c,d,a}
(ii)
{b,a}
(iii)
{a,d}
(iv)
{e,b,a}
(v)
{c,d}
Question
19
19.
The weights (in gm) of
16
fruits are as follows.
Form the grouped frequency table
in inclusive form
by taking class size
50
.
288
312
362
286
361
235
358
276
294
389
203
360
382
221
201
345
(i)
Weight (in gm)
201 - 250
251 - 300
301 - 350
351 - 400
No. of Fruits
4
4
7
6
(ii)
Weight (in gm)
201 - 250
251 - 300
301 - 350
351 - 400
No. of Fruits
4
2
4
6
(iii)
Weight (in gm)
201 - 250
251 - 300
301 - 350
351 - 400
No. of Fruits
4
9
2
6
(iv)
Weight (in gm)
201 - 250
251 - 300
301 - 350
351 - 400
No. of Fruits
4
4
2
6
(v)
Weight (in gm)
201 - 250
251 - 300
301 - 350
351 - 400
No. of Fruits
6
4
2
4
Question
20
20.
The class size used in the below table is
Class-Interval
38 - 45
46 - 53
54 - 61
62 - 69
Frequency
6
27
22
27
(i)
5
(ii)
9
(iii)
10
(iv)
8
(v)
7
Question
21
21.
The number of classes of class size
9
required to represent
the given random sample in exclusive form
1
1
1
3
3
5
6
6
6
7
7
7
9
9
11
13
13
14
19
19
20
23
25
27
29
31
33
36
38
40
40
40
41
42
42
43
44
46
48
49
(i)
8
(ii)
6
(iii)
5
(iv)
7
(v)
4
Question
22
22.
The lower limit of the class with frequency x is
Class-Interval
Frequency
12 - 19
x
20 - 27
26
28 - 35
22
36 - 43
27
44 - 51
30
(i)
14
(ii)
12
(iii)
11
(iv)
10
(v)
13
Question
23
23.
The marks obtained by
16
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
.
67
40
76
72
58
68
66
79
79
68
59
78
69
80
53
57
(i)
Marks
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
No. of Students
1
0
3
1
0
5
1
4
1
(ii)
Marks
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
No. of Students
1
0
1
3
0
5
1
4
1
(iii)
Marks
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
No. of Students
1
0
1
3
2
5
1
4
1
(iv)
Marks
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
No. of Students
1
0
1
8
0
5
1
4
1
(v)
Marks
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
No. of Students
1
1
1
3
0
5
1
4
0
Question
24
24.
Given class interval
33
-
39
in exclusive form, its
upper limit is
(i)
39
(ii)
41
(iii)
36
(iv)
40
(v)
38
Question
25
25.
If the lower and upper limit of class interval are 18 and 26 respectively, then the class interval is
(i)
17.5
-
26.5
(ii)
17.5
-
26
(iii)
18
-
26.5
(iv)
18.5
-
25.5
(v)
18
-
26
Assignment Key
1) (i)
2) (v)
3) (ii)
4) (ii)
5) (iv)
6) (iv)
7) (i)
8) (iv)
9) (iv)
10) (iv)
11) (v)
12) (i)
13) (iii)
14) (iii)
15) (ii)
16) (v)
17) (v)
18) (iii)
19) (iv)
20) (iv)
21) (ii)
22) (ii)
23) (ii)
24) (i)
25) (v)
