EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Median, Quartiles and Mode
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
The following ogive shows the daily wages of workers in a factory. Estimate the median.
(i)
₹113.50
(ii)
₹117.25
(iii)
₹114.75
(iv)
₹116.00
(v)
₹118.50
Question
2
2.
The scores obtained by 8 students in a test are given below. Find the median.
17
3
12
17
13
6
10
6
(i)
3
(ii)
11
(iii)
14
(iv)
6
(v)
10
1
2
Question
3
3.
The following table shows the weights of
87
persons in a group.
Find the
mode weight.
Weight (in kg)
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
No. of persons
19
10
20
20
5
13
(i)
141
2
kg
(ii)
139
2
kg
(iii)
70
kg
(iv)
143
2
kg
Question
4
4.
Weights of 67 students (in kg) are shown in the given ogive.
Find the number of
students
whose weight is
more
than
62 kg
(i)
52
(ii)
55
(iii)
49
(iv)
54
(v)
50
Question
5
5.
Daily wages of 46 labourers (in ₹) are shown in the given ogive.
Find the number of
labourers
whose wage is
less
than
₹222
(i)
29
(ii)
34
(iii)
31
(iv)
28
(v)
33
Question
6
6.
Scores of 91 students are shown in the given ogive.
Find the number of
students
whose score is
more
than
34
(i)
57
(ii)
54
(iii)
59
(iv)
60
(v)
55
Question
7
7.
The following ogive shows the distribution of the heights of a group of factory workers. Estimate the lower quartile.
(i)
168.57 cm
(ii)
171.07 cm
(iii)
166.07 cm
(iv)
176.07 cm
(v)
173.57 cm
Question
8
8.
Find the median of all prime numbers between 50 and 100.
(i)
74
(ii)
71
(iii)
69
(iv)
72
(v)
73
Question
9
9.
Rainfall of 12 days (in mm) are given below. Find the mode rainfall.
11
14
11
5
10
7
14
13
15
5
10
5
(i)
6
mm
(ii)
5
mm
(iii)
4
mm
(iv)
7
mm
(v)
3
mm
Question
10
10.
The histogram given below represents the marks obtained by some candidates in an examination.
Using data in the diagram, calculate the
median
marks.
(i)
60.6
(ii)
61.6
(iii)
62.6
(iv)
63.6
(v)
64.6
Question
11
11.
The following ogive shows the daily wages of workers in a factory. Estimate the upper quartile.
(i)
₹250.75
(ii)
₹255.75
(iii)
₹248.25
(iv)
₹245.75
(v)
₹253.25
Question
12
12.
The mean and median of a uni-modal grouped data are 68 and 55 respectively. Find the mode of the data.
(i)
92
(ii)
95
(iii)
94
(iv)
93
(v)
96
Question
13
13.
Weights of 15 students (in kg) are given below. Find the median weight.
60
40
60
40
55
60
52
42
53
40
56
41
57
53
60
(i)
53
kg
(ii)
55
kg
(iii)
54
kg
(iv)
52
kg
(v)
51
kg
Question
14
14.
Find the median of all the factors of 20.
(i)
9
2
(ii)
11
2
(iii)
7
2
(iv)
17
4
(v)
5
Question
15
15.
Temperatures of 25 days are given below. Find the median.
Temperature (in degree C)
25
26
27
28
29
30
31
32
33
35
No. of days
1
2
2
1
2
5
3
3
5
1
(i)
31
°C
(ii)
28
°C
(iii)
30
°C
(iv)
29
°C
(v)
32
°C
Question
16
16.
The histogram given below represents the marks obtained by some candidates in an examination.
Using data in the diagram, calculate the
mode
marks.
(i)
61
(ii)
60
(iii)
62
(iv)
59
(v)
58
Question
17
17.
Greater than cumulative curves are drawn using
(i)
upper boundaries of classes and less than cumulative frequencies
(ii)
lower boundaries of classes and greater than cumulative frequencies
(iii)
upper boundaries of classes and greater than cumulative frequencies
(iv)
mid values of classes and greater than cumulative frequencies
Question
18
18.
A frequency distribution table is given below.
Find the
mode .
Class-Interval
2 - 11
11 - 20
20 - 29
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
Frequency
23
13
50
4
35
31
38
45
(i)
2076
83
(ii)
1995
83
(iii)
1994
83
(iv)
2159
83
(v)
1993
83
Question
19
19.
The following ogive shows the distribution of the heights of a group of factory workers. Estimate the median.
(i)
154.11 cm
(ii)
151.61 cm
(iii)
155.36 cm
(iv)
156.61 cm
(v)
152.86 cm
Question
20
20.
In a class test, the marks obtained by
12
students are
43
21
35
30
31
42
45
38
42
39
16
38
Find the inter quartile range.
(i)
29
(ii)
35
(iii)
6
(iv)
12
(v)
30
Question
21
21.
A histogram with data is given below.
Find the mode
.
(i)
33.61
(ii)
48.61
(iii)
44.86
(iv)
37.36
(v)
41.11
Question
22
22.
The following histogram gives
the monthly consumption of electricity of
74
consumers in a locality.
Find the mode
units
.
(i)
109.18 units
(ii)
111.68 units
(iii)
106.68 units
(iv)
114.18 units
(v)
116.68 units
Question
23
23.
The daily wages of
108
workers in a factory are given below.
Find the modal class
(i)
230
-
245
(ii)
215
-
230
(iii)
245
-
260
(iv)
200
-
215
(v)
290
-
305
Question
24
24.
A histogram diagram with data is given below.
Find the modal class
(i)
96
-
116
(ii)
16
-
36
(iii)
56
-
76
(iv)
76
-
96
(v)
36
-
56
Question
25
25.
The daily wages of
122
workers in a factory are given below.
Find the
median wage.
Wage (in rupees)
20 - 27
28 - 35
36 - 43
44 - 51
52 - 59
60 - 67
68 - 75
No. of workers
22
18
15
15
22
13
17
(i)
₹
47.70
(ii)
₹
46.80
(iii)
₹
48.70
(iv)
₹
46.90
(v)
₹
46.70
Assignment Key
1) (iv)
2) (ii)
3) (ii)
4) (i)
5) (iii)
6) (i)
7) (ii)
8) (iv)
9) (ii)
10) (iii)
11) (i)
12) (iii)
13) (i)
14) (i)
15) (iii)
16) (ii)
17) (ii)
18) (v)
19) (i)
20) (iv)
21) (v)
22) (ii)
23) (v)
24) (iv)
25) (v)