Answer
The measures have been detailed below along with their implications regarding the shape of the box-and-whisker plot. Analyzing the provided data reveals the following: Mean = 39,500, Median = 20,000, Mode = 23,000, Minimum = 15,000, Maximum = 255,000. A box-and-whisker plot is included for reference. From this, we can observe the following aspects: – Whiskers extend both left and right of the box. – The box spans from the lower quartile to the upper quartile. – The median is positioned in the center of the box. – The left whisker ends at the minimum value. – The right whisker extends to the maximum value. 1) Since the median rests in the center of the box, we ascertain that the median of our analysis is duly centralized. 2) With the median at 20,000 and the minimum at 15,000 (the left whisker’s endpoint), versus a maximum of 255,000 (the right whisker’s endpoint), it indicates that the minimum is rather close to the median, resulting in a shorter left whisker. Conversely, the right whisker is elongated due to the maximum being significantly greater than the median. 3) As the right whisker is substantially longer than the left, we conclude that the box-and-whisker plot exhibits a pronounced right skewness.
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