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Median
Roughly speaking, finding the third quartile is similar to finding the median. First, use the median to split the data set into two equal halves. Then the third quartile is the median of the upper half. Similarly, the first quartile is the median of the lower half.
It is an overview of the distribution of a data set. The values that are plotted are:the minimum,the lower quartile (a quarter of the data points are smaller),the median (half the data points are smaller),the upper quartile (a quarter of the data points are larger),the maximum.
If your upper quartile (Q3) is the same as your median (Q2), it indicates that at least half of your data points are concentrated at or below the median value, resulting in a distribution that is skewed towards the lower values. This scenario suggests that the data set may have a large number of lower values, with a relatively small range of higher values, leading to a flat or plateau-like appearance in the upper half of the data distribution. Such a distribution can impact statistical analyses and interpretations, particularly in understanding variability and central tendencies.
median