EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Median, Quartiles and Mode
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
A histogram with data is given below.
Find the mode
.
(i)
47.00
(ii)
57.00
(iii)
52.00
(iv)
62.00
(v)
42.00
Question
2
2.
A histogram diagram with data is given below.
Find the modal class
(i)
28
-
33
(ii)
33
-
38
(iii)
23
-
28
(iv)
18
-
23
(v)
13
-
18
Question
3
3.
Heights of 30 students are given below. Find the first quartile.
Height (in cm)
135
136
137
139
146
165
167
173
175
No. of students
5
3
3
1
7
3
2
3
3
(i)
138
(ii)
135
(iii)
137
(iv)
136
(v)
134
Question
4
4.
A frequency distribution table is given below.
Find the
median .
Class-Interval
12 - 22
22 - 32
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
Frequency
34
29
38
36
24
35
16
45
(i)
1859
36
(ii)
1787
36
(iii)
149
3
(iv)
1823
36
(v)
1789
36
Question
5
5.
Heights of 26 plants are given below. Find the mode.
Height (in cm)
52
53
58
72
74
75
81
90
97
No. of plants
2
2
3
4
6
3
3
2
1
(i)
73
cm
(ii)
72
cm
(iii)
75
cm
(iv)
76
cm
(v)
74
cm
Question
6
6.
Weights of 21 students are given below. Find the mode.
Weight (in kg)
41
43
47
48
54
55
56
58
59
No. of students
4
1
1
2
3
1
3
3
3
(i)
39
kg
(ii)
41
kg
(iii)
42
kg
(iv)
43
kg
(v)
40
kg
Question
7
7.
Scores of 10 students are given below. Find the median.
Score
74
75
81
88
89
No. of students
1
2
2
2
3
(i)
173
2
(ii)
85
(iii)
171
2
(iv)
169
2
Question
8
8.
Weights of 30 students are given below. Find the median.
Weight (in kg)
40
41
43
49
50
51
52
58
59
No. of students
3
3
5
4
3
3
2
4
3
(i)
50
kg
(ii)
103
2
kg
(iii)
101
2
kg
(iv)
99
2
kg
Question
9
9.
Daily wages of 74 labourers (in ₹) are shown in the given ogive.
Find the number of
labourers
whose wage is
less
than
₹286
(i)
9
(ii)
14
(iii)
8
(iv)
11
(v)
13
Question
10
10.
Which of the following class intervals are in exclusive form?
a)
51 - 61 , 61 - 71 , 71 - 81...
b)
21 - 31 , 32 - 42 , 43 - 53,...
c)
54 - 64 , 65 - 75 , 76 - 86,...
d)
20.5 - 31.5 , 31.5 - 42.5 , 42.5 - 53.5...
e)
21 - 31 , 31 - 41 , 41 - 51,...
(i)
{b,c,e}
(ii)
{c,d}
(iii)
{b,a}
(iv)
{b,a,d}
(v)
{a,d,e}
Question
11
11.
The marks obtained by
62
students in an examination are shown in the given ogive.
Find the number of students who obtained
more
than
5
marks in examination.
(i)
63
(ii)
60
(iii)
61
(iv)
62
(v)
64
Question
12
12.
Rainfall of 11 days are given below. Find the mode.
Rainfall (in mm)
6
7
8
10
13
15
No. of days
3
2
2
1
1
2
(i)
4
mm
(ii)
6
mm
(iii)
5
mm
(iv)
7
mm
(v)
8
mm
Question
13
13.
Ages of 15 students (in years) are given below. Find the mode age.
13
13
14
10
14
13
14
15
12
14
15
15
11
14
14
(i)
12
years
(ii)
14
years
(iii)
13
years
(iv)
15
years
(v)
16
years
Question
14
14.
The given ogive represents the heights of workers (in cm) in a factory.
Find the number of workers whose height is more than
158 cm
(i)
24
(ii)
14
(iii)
19
(iv)
15
(v)
23
Question
15
15.
Scores of 11 students are given below. Find the mode.
Score
72
74
75
78
80
81
85
No. of students
1
1
1
1
2
1
4
(i)
87
(ii)
84
(iii)
86
(iv)
83
(v)
85
Question
16
16.
The following table shows the weights of
101
persons in a group.
Find the
mode weight.
Weight (in kg)
30 - 35
36 - 41
42 - 47
48 - 53
54 - 59
60 - 65
66 - 71
72 - 77
No. of persons
13
7
16
20
7
12
18
8
(i)
1731
34
kg
(ii)
1697
34
kg
(iii)
1665
34
kg
(iv)
1663
34
kg
(v)
832
17
kg
Question
17
17.
Heights of 14 plants (in cm) are given below. Find the median height.
75
85
75
61
51
84
57
86
88
94
88
92
53
85
(i)
173
2
cm
(ii)
85
cm
(iii)
169
2
cm
(iv)
171
2
cm
Question
18
18.
Find the cumulative frequency of class
77
-
83
.
Class-Interval
47 - 53
53 - 59
59 - 65
65 - 71
71 - 77
77 - 83
83 - 89
89 - 95
Frequency
12
12
5
16
13
16
20
13
(i)
77
(ii)
73
(iii)
74
(iv)
75
(v)
71
Question
19
19.
The following table shows the weights of
81
persons in a group.
Find the
median weight.
Weight (in kg)
30 - 35
36 - 41
42 - 47
48 - 53
54 - 59
60 - 65
66 - 71
72 - 77
No. of persons
7
9
14
8
7
20
10
6
(i)
807
14
kg
(ii)
793
14
kg
(iii)
781
14
kg
(iv)
390
7
kg
(v)
779
14
kg
Question
20
20.
If the sum of the following frequency distribution is
25
,
find the value of 'x'.
Value
Frequency
2
2
3
1
4
x
5
4
6
5
7
1
8
2
9
3
10
2
11
4
(i)
-2
(ii)
1
(iii)
0
(iv)
4
(v)
2
Question
21
21.
The following table shows the weights of
60
persons in a group.
Find the
median weight.
Weight (in kg)
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
No. of persons
16
18
5
11
10
(i)
179
9
kg
(ii)
172
9
kg
(iii)
19
kg
(iv)
170
9
kg
(v)
188
9
kg
Question
22
22.
The marks obtained by 12 students in a test are given below. Find their median marks.
34
2
8
38
19
35
26
12
27
11
4
29
(i)
89
4
(ii)
45
2
(iii)
23
(iv)
43
2
(v)
47
2
Question
23
23.
Find the median of the first 15 odd numbers.
(i)
12
(ii)
16
(iii)
17
(iv)
15
(v)
14
Question
24
24.
The mean and median of a uni-modal grouped data are 62 and 34 respectively. Find the mode of the data.
(i)
120
(ii)
118
(iii)
116
(iv)
119
(v)
117
Question
25
25.
Heights of 42 students are given below. Find the interquartile.
Height (in cm)
125
127
131
139
143
144
159
163
164
165
174
No. of students
2
1
4
5
6
5
5
4
1
3
6
(i)
26
(ii)
25
(iii)
23
(iv)
22
(v)
24
Assignment Key
1) (iii)
2) (v)
3) (iv)
4) (ii)
5) (v)
6) (ii)
7) (iv)
8) (iv)
9) (iv)
10) (v)
11) (iv)
12) (ii)
13) (ii)
14) (iii)
15) (v)
16) (iv)
17) (iii)
18) (iii)
19) (v)
20) (ii)
21) (iv)
22) (ii)
23) (iv)
24) (ii)
25) (v)