Rewrite the given data from least to greatest.
5.2, 5.3, 5.3, 5.4, 5.5, 5.7, 5.7, 5.8, 5.8, 5.9.
The number of data =10 and it is an even number.
The middle two terms are 5.5 and 5.7.
The terms for Q3 are the last five terms of the given.
5.7, 5.7, 5.8, 5.8, 5.9.
The number of terms is 5 and it is odd.
The median for Q3 is middle term =5.8.
The terms for Q1 are the first five terms of the given.
5.2, 5.3, 5.3, 5.4, 5.5.
The number of terms is 5 and it is odd.
The median for Q1 is middle term =5.3.
Hence the answer is