To find the quartiles, we use the equation for the position of the quartile:
Where i is the quartile, P_i is the position of the quartile, and n is the data size. Since there are 5 elements, then n = 5.
If P_i is a whole number, the quartile is the semi-sum of the data at positions P_i and P_(i+1). If it is not a whole number, the quartile is the data at position P+1, where P is the integer part of P_i.
For the lower quartile, i = 25: