Given, numbers are:
46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33
Arrange in increasing order:
33, 35, 41, 46, 55, 58, 64, 77, 87, 90, 92
n = 11 (odd)
Therefore, median \(=\frac{n + 1}{2}\)
\(=\frac{11 + 1}{2}\)
\(=\frac{12}{2}\) = 6th value
= 58
If 92 is replaced by 99 and 41 by 43, then the new values are:
33, 35, 43, 46, 55, 58, 64, 77, 81, 90, 99
Therefore, n = 11 (odd)
New median \(=\frac{n + 1}{2}\) value
\(=\frac{11 + 1}{2}\)
= 6th value = 58
