EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Median, Quartiles and Mode
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
The following table shows the weights of
75
persons in a group.
Find the
mode weight.
Weight (in kg)
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
No. of persons
18
12
17
16
12
(i)
185
4
kg
(ii)
91
2
kg
(iii)
181
4
kg
(iv)
189
4
kg
(v)
183
4
kg
Question
2
2.
Temperatures of 15 days (in °C) are given below. Find the mode temperature.
30
27
27
26
27
32
33
26
35
35
26
34
29
27
27
(i)
29
°C
(ii)
26
°C
(iii)
28
°C
(iv)
25
°C
(v)
27
°C
Question
3
3.
Rainfall of 10 days (in mm) are given below. Find the median rainfall.
15
15
5
13
8
15
6
13
6
8
(i)
11
mm
(ii)
21
2
mm
(iii)
23
2
mm
(iv)
25
2
mm
Question
4
4.
The mean and median of a uni-modal grouped data are 39.4 and 28.7 respectively. Find the mode of the data.
(i)
58.8
(ii)
61.8
(iii)
60.8
(iv)
62.8
(v)
59.8
Question
5
5.
The scores obtained by 11 students in a test are given below. Find the median.
12
20
14
15
5
14
1
5
8
19
2
(i)
1
(ii)
5
(iii)
10
5
11
(iv)
19
(v)
12
Question
6
6.
Heights of 74 plants (in cm) are shown in the given ogive.
Find the number of
plants
whose height is
more
than
56 cm
(i)
75
(ii)
69
(iii)
74
(iv)
72
(v)
70
Question
7
7.
Temperatures of 11 days are given below. Find the mode.
Temperature (in degree C)
28
30
31
33
35
No. of days
1
4
2
2
2
(i)
31
°C
(ii)
30
°C
(iii)
29
°C
(iv)
28
°C
(v)
32
°C
Question
8
8.
The given ogive represents the heights of workers (in cm) in a factory.
Find the number of workers whose height is more than
155 cm
(i)
35
(ii)
26
(iii)
31
(iv)
27
(v)
36
Question
9
9.
Heights of 12 plants (in cm) are given below. Find the mode height.
50
62
79
77
97
72
80
96
94
67
51
50
(i)
51
cm
(ii)
49
cm
(iii)
48
cm
(iv)
52
cm
(v)
50
cm
Question
10
10.
The following ogive shows the number of casualties of different age groups due to accidents in a city. Estimate the median.
(i)
34.66 years
(ii)
35.91 years
(iii)
32.16 years
(iv)
33.41 years
(v)
30.91 years
Question
11
11.
Rainfall of 95 days (in mm) are shown in the given ogive.
Find the number of
days
where the rainfall is
less
than
39 mm
(i)
51
(ii)
46
(iii)
48
(iv)
45
(v)
50
Question
12
12.
Greater than cumulative curves are drawn using
(i)
upper boundaries of classes and less than cumulative frequencies
(ii)
mid values of classes and greater than cumulative frequencies
(iii)
lower boundaries of classes and greater than cumulative frequencies
(iv)
upper boundaries of classes and greater than cumulative frequencies
Question
13
13.
The histogram given below represents the marks obtained by some candidates in an examination.
Using data in the diagram, calculate the
median
marks.
(i)
58.4
(ii)
57.4
(iii)
59.4
(iv)
56.4
(v)
60.4
Question
14
14.
The weights of
97
persons in a group are shown below.
Find the mode
weight
.
(i)
165.83 kg
(ii)
160.83 kg
(iii)
170.83 kg
(iv)
175.83 kg
(v)
180.83 kg
Question
15
15.
Heights of 10 plants are given below. Find the median.
Height (in cm)
57
60
71
72
76
77
80
84
No. of plants
1
1
2
1
2
1
1
1
(i)
76
cm
(ii)
73
cm
(iii)
72
cm
(iv)
74
cm
(v)
75
cm
Question
16
16.
The weights of
84
persons in a group are shown below.
Find the modal class
(i)
100
-
110
(ii)
80
-
90
(iii)
120
-
130
(iv)
90
-
100
(v)
110
-
120
Question
17
17.
In a class test, the marks obtained by
11
students are
18
42
26
30
13
23
10
13
34
42
16
Find the lower quartile.
(i)
34
(ii)
10
1
2
(iii)
32
(iv)
21
(v)
13
Question
18
18.
The following table shows the weights of
58
persons in a group.
Find the
median weight.
Weight (in kg)
20 - 29
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
No. of persons
12
7
12
6
6
15
(i)
93
2
kg
(ii)
91
2
kg
(iii)
46
kg
(iv)
95
2
kg
Question
19
19.
The following ogive shows the distribution of the heights of a group of factory workers. Estimate the upper quartile.
(i)
192.95 cm
(ii)
202.95 cm
(iii)
197.95 cm
(iv)
200.45 cm
(v)
195.45 cm
Question
20
20.
If the sum of the following frequency distribution is
28
,
find the value of 'x'.
Value
Frequency
3
2
4
4
5
2
6
3
7
x
8
1
9
3
10
1
11
2
12
3
13
4
(i)
0
(ii)
3
(iii)
4
(iv)
2
(v)
6
Question
21
21.
Ages of 76 students (in years) are shown in the given ogive.
Find the number of
students
whose age is
less
than
29 years
(i)
19
(ii)
14
(iii)
15
(iv)
17
(v)
20
Question
22
22.
The marks obtained by
63
students in an examination are shown in the given ogive.
Find the number of students who obtained
less
than
85
marks in examination.
(i)
63
(ii)
62
(iii)
61
(iv)
64
(v)
65
Question
23
23.
Ages of 26 students are given below. Find the mode.
Age (in years)
10
11
12
13
14
15
No. of students
7
4
3
6
4
2
(i)
8
years
(ii)
10
years
(iii)
9
years
(iv)
11
years
(v)
12
years
Question
24
24.
Emperical relation between Mean, Median and Mode is
(i)
Mode = 3Median - 3Mean
(ii)
Mode = 3Median + 2Mean
(iii)
Mode = 2Median - 3Mean
(iv)
Mode = 3Median - 2Mean
Question
25
25.
Wages of 30 labourers are given below. Find the median.
Wage (in rupees)
308
311
353
359
363
370
398
403
473
480
489
No. of labourers
3
2
2
1
1
1
4
3
3
5
5
(i)
₹
401.00
(ii)
₹
405.00
(iii)
₹
404.00
(iv)
₹
403.00
(v)
₹
402.00
Assignment Key
1) (iii)
2) (v)
3) (ii)
4) (iii)
5) (v)
6) (iv)
7) (ii)
8) (iii)
9) (v)
10) (iv)
11) (iii)
12) (iii)
13) (i)
14) (iii)
15) (iv)
16) (ii)
17) (v)
18) (ii)
19) (iii)
20) (ii)
21) (iv)
22) (i)
23) (ii)
24) (iv)
25) (iv)
