No, they need not.
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The median is a measure of central tendency. In a set of data, it is the value such that half the observed values are larger and half are smaller.
You can see which has the largest spread of data.... Where the extreme values lie... The bigger the box the wider the spread of half of the data... and vice versa
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.
the median is a value of which half of all the values are less than, and half of all the values are greater than.
median