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The vertical edge on the left of the box marks the lower (1st) quartile. The vertical edge on the right of the box marks the upper (3rd) quartile. The median (or 2nd quartile) is indicated by the vertical line in the middle of the box. The box may be drawn vertically in which case the bottom of the box is the lower (1st) quartile, the top of the box is the upper (3rd) quartile and the band in the middle is the 2nd quartile (or median). The whiskers on the end of the box vary.
median or middle
A number does not have a quartile, a set of data does. The lower quartile of a set of data set is a value, in the data set, such that a quarter of the date set are smaller and three quarters are larger. The upper quartile is defined similarly. The middle quartile, better known as the median, divides the data set in two.
Quartile Deviation (QD)The quartile deviation is half the difference between the upper and lower quartiles in a distribution. It is a measure of the spread through the middle half of a distribution. It can be useful because it is not influenced by extremely high or extremely low scores. Quartile Deviation is an ordinal statistic and is most often used in conjunction with the median.why we calculating quartile deviation?
The middle number in the upper half will be three-quarters of the way up and is known as the upper quartile.