Question 1175111
To determine which hospital has greater variation in the distribution of wages, we need to compare their **coefficients of variation (CV)**. The coefficient of variation measures the relative variability of data and is calculated as:

CV = (Standard Deviation / Mean) * 100%

**1. Calculate the Standard Deviation**

* Standard deviation is the square root of the variance.
    * Hospital A: Standard Deviation (s_A) = √9 = 3
    * Hospital B: Standard Deviation (s_B) = √6 ≈ 2.449

**2. Calculate the Coefficient of Variation (CV)**

* Hospital A: CV_A = (3 / 120) * 100% = 2.5%
* Hospital B: CV_B = (2.449 / 85) * 100% ≈ 2.88%

**3. Compare the Coefficients of Variation**

* CV_B (2.88%) > CV_A (2.5%)

**Conclusion**

The variation in the distribution of wages is greater in **Hospital B**.

**Why?**

While Hospital A has a higher absolute variance (9 vs. 6), Hospital B has a higher coefficient of variation. This means that relative to the mean wage, the spread of wages is larger in Hospital B. In other words, the wages in Hospital B are more dispersed relative to their average wage compared to the wages in Hospital A.