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Class X
ICSE Grade X - Median, Quartiles and Mode
Question
1
1.
The marks obtained by
60
students in an examination are shown in the given ogive.
Find the number of students who obtained
more
than
5
marks in examination.
59
61
62
60
58
Question
2
2.
Find the cumulative frequency of class
85
-
94
.
Class-Interval
45 - 54
55 - 64
65 - 74
75 - 84
85 - 94
95 - 104
105 - 114
Frequency
24
15
13
15
9
10
10
79
73
76
75
77
Question
3
3.
Ages of 15 students (in years) are given below. Find the mode age.
11
12
12
10
13
12
13
10
12
10
11
14
12
15
12
13
years
10
years
14
years
12
years
11
years
Question
4
4.
The following ogive shows the number of casualties of different age groups due to accidents in a city. Estimate the median.
36.08 years
33.58 years
34.83 years
37.33 years
32.33 years
Question
5
5.
Weights of 67 students (in kg) are shown in the given ogive.
Find the number of
students
whose weight is
less
than
70 kg
14
18
19
13
16
Question
6
6.
The following ogive shows the distribution of the heights of a group of factory workers. Estimate the lower quartile.
159.29 cm
166.79 cm
164.29 cm
161.79 cm
156.79 cm
Question
7
7.
Heights of 10 students are given below. Find the median.
Height (in cm)
128
133
135
142
153
167
No. of students
1
2
2
3
1
1
277
2
cm
279
2
cm
139
cm
281
2
cm
Question
8
8.
The following ogive shows the number of casualties of different age groups due to accidents in a city. Estimate the upper quartile.
62.50 years
67.50 years
57.50 years
60.00 years
65.00 years
Question
9
9.
The following frequency distribution table gives
the monthly consumption of electricity of
103
consumers in a locality.
Find the
mode units.
Monthly consumption (in units)
59 - 69
69 - 79
79 - 89
89 - 99
99 - 109
109 - 119
No. of consumers
25
22
17
15
12
12
965
14
units
979
14
units
953
14
units
68
units
951
14
units
Question
10
10.
The following table shows the weights of
71
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
8
8
15
8
15
11
6
1345
16
kg
1313
16
kg
1329
16
kg
1315
16
kg
657
8
kg
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