Find the median of:
(i) 2, 10, 9, 9, 5, 2, 3, 7, 11
(ii) 15, 6, 16, 8, 22, 21, 9, 18, 25
(iii) 20, 13, 18, 25, 6, 15, 21, 9, 16, 8, 22
(iv) 7, 4, 2, 5, 1, 4, 0, 10, 3, 8, 5, 9, 2
(i) By arranging the numbers in ascending order
We get
2, 2, 3, 5, 7, 9, 9, 10, 11
We know that n = 9 is odd
So we get
Median = ½ (n + 1) th term
By substituting the values
Median = ½ (9 + 1) th term
It can be written as
Median = value of the 5th term = 7
We get
Median = 7
(ii) By arranging the numbers in ascending order
We get
6, 8, 9, 15, 16, 18, 21, 22, 25
We know that n = 9 is odd
So we get
Median = ½ (n + 1) th term
By substituting the values
Median = ½ (9 + 1) th term
It can be written as
Median = value of the 5th term = 16
We get
Median = 16
(iii) By arranging the numbers in ascending order
We get
6, 8, 9, 13, 15, 16, 18, 20, 21, 22, 25
We know that n = 11 is odd
So we get
Median = ½ (n + 1) th term
By substituting the values
Median = ½ (11 + 1) th term
It can be written as
Median = value of the 6th term = 16
We get
Median = 16
(iv) By arranging the numbers in ascending order
We get
0, 1, 2, 2, 3, 4, 4, 5, 5, 7, 8, 9, 10
We know that n = 13 is odd
So we get
Median = ½ (n + 1) th term
By substituting the values
Median = ½ (13 + 1) th term
It can be written as
Median = value of the 7th term = 4
We get
Median = 4
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