To answer this question, we need to understand what the stability factor is and how it is calculated.
The stability factor is a measure of the spread or dispersion of data. It is used to determine the stability or consistency of a dataset. A lower stability factor indicates a more stable and consistent dataset, while a higher stability factor indicates a more variable and inconsistent dataset.
The stability factor is calculated using the interquartile range (IQR), which is the range between the first quartile (Q1) and the third quartile (Q3) of the data. The stability factor is defined as the ratio of Q1 to Q3, or Q1/Q3.
Let's go through each option to understand why it is correct or incorrect:
Option A) Q1/Q3 - This option is correct. The stability factor is indeed calculated as the ratio of Q1 to Q3.
Option B) X95-X0.5 - This option is incorrect. X95 and X0.5 are not relevant in calculating the stability factor.
Option C) X95/x0.5 - This option is incorrect. X95 and X0.5 are not relevant in calculating the stability factor, and dividing them does not yield the stability factor.
Option D) Q3/Q1 - This option is incorrect. The stability factor is calculated as Q1/Q3, not Q3/Q1.
Therefore, the correct answer is option A) Q1/Q3. This option is correct because it represents the correct calculation of the stability factor using the ratio of Q1 to Q3.