Certainly! Let's determine the value for Quartile 1 (Q1) given the following information:
- Third Quartile (Q3) is 113 kg.
- The Interquartile Range (IQR) is 25 kg.
The interquartile range (IQR) is defined as the difference between the third quartile (Q3) and the first quartile (Q1). Mathematically, it can be represented as:
[tex]\[ \text{IQR} = Q3 - Q1 \][/tex]
Given the values:
[tex]\[ Q3 = 113 \, \text{kg} \][/tex]
[tex]\[ \text{IQR} = 25 \, \text{kg} \][/tex]
We need to solve for Q1.
Rewriting the equation:
[tex]\[ Q1 = Q3 - \text{IQR} \][/tex]
Substitute the known values into the equation:
[tex]\[ Q1 = 113 \, \text{kg} - 25 \, \text{kg} \][/tex]
Calculate the result:
[tex]\[ Q1 = 88 \, \text{kg} \][/tex]
Therefore, the value for Quartile 1 (Q1) is 88 kg.
