Question

The median of a set of 9 distinct observations is 20. If each of the largest 4 observation of the set is increased by 2, find the median of the regular set.

Answer 1

Given, Median of Nine observations $=20$

Median of 9 observations $={\left(\frac{9+1}{2}\right)}^{th}term=5^{th}term$

Now, $5^{th}term=20$

The last term or the largest four are increased by $2$. But the $5^{th}$ term is unchanged.

The median of resultant set is same as the earlier.

Hence median of resultant set $=20$