Short Answer 
The answer explains how to analyze data using statistical measures such as mean, median, and mode, which provide insights into data distribution. It describes how to interpret a box and whisker plot, noting that the plot’s skewness indicates a right-skewed distribution, with a longer right whisker compared to the left.
Step 1: Understand the Measures
Firstly, it is crucial to identify the important statistical measures of the given data. These include:
- Mean: 39,500
- Median: 20,000
- Mode: 23,000
- Minimum: 15,000
- Maximum: 255,000
These measures provide insights into the distribution and central tendency of the data, which is essential for interpreting the box and whisker plot.
Step 2: Analyze the Box and Whisker Plot
The box and whisker plot visually represents the statistical measures and their relationships. In this plot:
- The box spans from the lower quartile to the upper quartile.
- The median divides the box into two halves, illustrating its central position.
- The minimum point is at the end of the left whisker, while the maximum marks the end of the right whisker.
This layout helps identify the distribution and any potential skewness in the data, based on the whisker lengths.
Step 3: Determine the Skewness
Finally, assess the skewness of the box and whisker plot. In this analysis:
- The left whisker is short as the minimum (15,000) is close to the median (20,000).
- The right whisker is long due to the maximum (255,000) being significantly higher than the median.
- This discrepancy in whisker lengths indicates that the distribution is skewed to the right.
Recognizing this skewness is key for understanding the overall shape and behavior of the dataset.