Interpreting Box Plots with Questionnaire Data

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Box plots are useful for evaluating questionnaire data on a scale of 0 to 10, as they visually represent the distribution of values. When the median aligns with the upper or lower edge of the box, it indicates that the median is equal to the respective quartile. The presence of only one whisker suggests that most data points are concentrated at the quartile level, with a few outliers at the maximum or minimum. This indicates a significant amount of duplicated data values. Understanding these elements can enhance the interpretation of box plots in data analysis.
jophysics
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Dear all,
I need to evaluate some data from questionnaires (in the form of scale of values from 0 to 10) and I thought to use the box plots. Please, someone can provide me with some helps (references,etc) for the interpretation? In some cases, the median does not falls inside the box but it is the upper bound of the box, in other cases I have upper or lower wiskers only. What do these mean?

thank you for your help!

jo
 
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If the median is the upper or lower end of a box then the median equals the lower or upper quartile. If you have only a whisker (say the upper whisker) than almost all of the measurements equal the upper quartile and you have one (or more?) values at the maximum.

In short, in both situations, you have good numbers of duplicated data values.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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