EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Median, Quartiles and Mode
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
In a class test, the marks obtained by
12
students are
10
32
24
19
21
20
40
21
34
22
30
33
Find the semi-inter quartile range.
(i)
6
(ii)
25
1
2
(iii)
12
(iv)
20
(v)
30
Question
2
2.
Find the median of all the factors of 40.
(i)
25
4
(ii)
7
(iii)
13
2
(iv)
11
2
(v)
15
2
Question
3
3.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
16 - 24
25 - 33
34 - 42
43 - 51
52 - 60
61 - 69
Frequency
43
25
24
44
17
17
(i)
Class-Interval
15.5 - 23.5
24.5 - 32.5
33.5 - 41.5
42.5 - 50.5
51.5 - 59.5
60.5 - 68.5
Frequency
43
25
24
44
17
17
(ii)
Class-Interval
15.5 - 24
24.5 - 33
33.5 - 42
42.5 - 51
51.5 - 60
60.5 - 69
Frequency
43
25
24
44
17
17
(iii)
Class-Interval
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
Frequency
15
19
26
10
41
19
(iv)
Class-Interval
15.5 - 24.5
24.5 - 33.5
33.5 - 42.5
42.5 - 51.5
51.5 - 60.5
60.5 - 69.5
Frequency
43
25
24
44
17
17
(v)
Class-Interval
16.5 - 24.5
25.5 - 33.5
34.5 - 42.5
43.5 - 51.5
52.5 - 60.5
61.5 - 69.5
Frequency
43
25
24
44
17
17
Question
4
4.
A frequency distribution table is given below.
Find the
median .
Class-Interval
14 - 24
25 - 35
36 - 46
47 - 57
58 - 68
Frequency
25
19
19
7
14
(i)
1343
38
(ii)
1305
38
(iii)
1307
38
(iv)
1381
38
(v)
653
19
Question
5
5.
Heights of 56 plants (in cm) are shown in the given ogive.
Find the number of
plants
whose height is
less
than
92 cm
(i)
43
(ii)
38
(iii)
44
(iv)
41
(v)
39
Question
6
6.
The observations of an ungrouped data are
x
1
,
x
2
,
x
3
and
x
1
<
x
2
<
x
3
.
If the mean and median of the data are
54
and
36
respectively and
x
3
-
x
1
=
90
,
find
x
1
,
x
2
,
x
3
(i)
18
,
36
,
108
(ii)
22
,
36
,
112
(iii)
20
,
36
,
110
(iv)
36
,
36
,
216
Question
7
7.
The following ogive shows the number of casualties of different age groups due to accidents in a city. Estimate the upper quartile.
(i)
39.46 years
(ii)
44.46 years
(iii)
41.96 years
(iv)
40.71 years
(v)
43.21 years
Question
8
8.
Weights of 25 students are given below. Find the median.
Weight (in kg)
40
42
43
44
45
47
48
51
52
58
59
No. of students
4
3
2
1
4
2
2
3
1
1
2
(i)
44
kg
(ii)
47
kg
(iii)
45
kg
(iv)
46
kg
(v)
43
kg
Question
9
9.
Find the median of all the factors of 20.
(i)
5
(ii)
9
2
(iii)
11
2
(iv)
7
2
(v)
17
4
Question
10
10.
Which of the following class intervals are in exclusive form?
a)
42 - 50 , 50 - 58 , 58 - 66...
b)
17.5 - 26.5 , 26.5 - 35.5 , 35.5 - 44.5...
c)
45 - 53 , 54 - 62 , 63 - 71,...
d)
18 - 26 , 26 - 34 , 34 - 42,...
e)
18 - 26 , 27 - 35 , 36 - 44,...
(i)
{c,a}
(ii)
{c,e,d}
(iii)
{e,b}
(iv)
{c,a,b}
(v)
{a,b,d}
Question
11
11.
The marks obtained by certain students in a mathematics examination are given below. Estimate the upper quartile.
(i)
63.96
(ii)
66.46
(iii)
68.96
(iv)
71.46
(v)
61.46
Question
12
12.
Rainfall of 15 days (in mm) are given below. Find the median rainfall.
13
12
5
7
11
5
6
12
6
14
8
13
12
12
7
(i)
13
mm
(ii)
11
mm
(iii)
9
mm
(iv)
10
mm
(v)
12
mm
Question
13
13.
Scores of 12 students are given below. Find the median score.
75
72
90
89
77
82
82
83
82
83
82
80
(i)
84
(ii)
82
(iii)
81
(iv)
83
(v)
80
Question
14
14.
During the medical check-up of 61 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is less than 67 kg
Class-Interval
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
67 - 73
73 - 79
Frequency
5
10
5
10
8
11
7
5
(i)
49
(ii)
46
(iii)
48
(iv)
50
(v)
52
Question
15
15.
The following table shows the weights of
84
persons in a group.
Find the
median weight.
Weight (in kg)
50 - 59
59 - 68
68 - 77
77 - 86
86 - 95
95 - 104
104 - 113
No. of persons
9
19
19
14
9
7
7
(i)
1420
19
kg
(ii)
1456
19
kg
(iii)
1437
19
kg
(iv)
1418
19
kg
(v)
1419
19
kg
Question
16
16.
Heights of 47 students are given below. Find the first quartile.
Height (in cm)
135
139
144
145
157
159
168
172
No. of students
3
8
5
6
5
5
9
6
(i)
142
(ii)
144
(iii)
146
(iv)
145
(v)
143
Question
17
17.
The daily wages of
82
workers in a factory are given below.
Find the mode
wage
.
(i)
₹266.25
(ii)
₹271.25
(iii)
₹276.25
(iv)
₹261.25
(v)
₹281.25
Question
18
18.
Ages of 11 students (in years) are given below. Find the mode age.
15
11
12
10
15
13
13
10
11
13
13
(i)
12
years
(ii)
14
years
(iii)
15
years
(iv)
13
years
(v)
11
years
Question
19
19.
Temperatures of 65 days (in °C) are shown in the given ogive.
Find the number of
days
where the temperature is
less
than
50 °C
(i)
40
(ii)
35
(iii)
38
(iv)
41
(v)
36
Question
20
20.
Find the median of the first 20 odd numbers.
(i)
20
(ii)
22
(iii)
19
(iv)
21
(v)
18
Question
21
21.
The following ogive shows the daily wages of workers in a factory. Estimate the median.
(i)
₹196.39
(ii)
₹197.64
(iii)
₹195.14
(iv)
₹193.89
(v)
₹198.89
Question
22
22.
Heights of 11 plants (in cm) are given below. Find the median height.
62
60
59
85
95
65
100
59
84
52
70
(i)
66
cm
(ii)
67
cm
(iii)
63
cm
(iv)
65
cm
(v)
64
cm
Question
23
23.
Rainfall of 73 days (in mm) are shown in the given ogive.
Find the number of
days
where the rainfall is
more
than
19 mm
(i)
68
(ii)
63
(iii)
67
(iv)
65
(v)
62
Question
24
24.
A frequency distribution table is given below.
Find the
mode .
Class-Interval
4 - 12
12 - 20
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
Frequency
25
40
6
46
17
6
24
(i)
751
23
(ii)
2390
69
(iii)
2252
69
(iv)
98
3
(v)
2321
69
Question
25
25.
Ages of 25 students are given below. Find the median.
Age (in years)
10
11
12
13
14
15
No. of students
2
4
2
5
7
5
(i)
15
years
(ii)
13
years
(iii)
12
years
(iv)
11
years
(v)
14
years
Assignment Key
1) (i)
2) (iii)
3) (iv)
4) (ii)
5) (iv)
6) (i)
7) (iii)
8) (iii)
9) (ii)
10) (v)
11) (ii)
12) (ii)
13) (ii)
14) (i)
15) (iv)
16) (ii)
17) (ii)
18) (iv)
19) (iii)
20) (i)
21) (i)
22) (iv)
23) (iv)
24) (iii)
25) (ii)
