Find the median of:
(i) 17, 19, 32, 10, 22, 21, 9, 35
(ii) 72, 63, 29, 51, 35, 60, 55, 91, 85, 82
(iii) 10, 75, 3, 15, 9, 47, 12, 48, 4, 81, 17, 27
(i) By arranging the numbers in ascending order
We get
9, 10, 17, 19, 21, 22, 32, 35
We know that n = 8 which is even
So we get
Median = ½ {(n/2)th term + (n/2 + 1)th term}
It can be written as
Median = ½ {4th term + 5th term)
By substituting the values
Median = ½ (19 + 21)
On further calculation
Median = ½ (40)
We get
Median = 20
(ii) By arranging the numbers in ascending order
We get
29, 35, 51, 55, 6, 63, 72, 82, 85, 91
We know that n = 10 which is even
So we get
Median = ½ {(n/2)th term + (n/2 + 1)th term}
It can be written as
Median = ½ {5th term + 6th term)
By substituting the values
Median = ½ (60 + 63)
On further calculation
Median = ½ (123)
We get
Median = 61.5
(iii) By arranging the numbers in ascending order
We get
3, 4, 9, 10, 12, 15, 17, 27, 47, 48, 75, 81
We know that n = 12 which is even
So we get
Median = ½ {(n/2)th term + (n/2 + 1)th term}
It can be written as
Median = ½ {6th term + 7th term)
By substituting the values
Median = ½ (15 + 17)
On further calculation
Median = ½ (32)
We get
Median = 16
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