Given, numbers are:
31, 35, 27, 29, 32, 43, 37, 41, 34, 28, 36, 44, 45, 42, 30
Arrange in increasing order:
27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 41, 42, 43, 44, 45
n = 15 (odd)
Therefore, median \(=\frac{n+1}{2}\) value
\(=\frac{15+1}{2}\)
= 8th value = 35 kg
If the weight 44kg is replaced by 46 kg and 27 kg is replaced by 25 kg
Then new values in order be
25, 28, 29, 30, 31, 32, 34, 35, 36, 37, 41, 42, 43, 45, 46
n = 15 (odd)
Therefore, new median \(=\frac{n+1}{2}\)
\(=\frac{15+1}{2}\)
= 8th value = 35kg