today finally i want to customize to box plot structure ,let us consider following problem
so we have $800$ data,rom which we can conclude that median is $118$ approximately,first quartile is $114$ and third one is $126$,interquartile is $126-114=12$,i am right yes in this part?minimum value is $105$ and maximum value is $146$,now what about second question?if $80$ percentile is $130$,it means that $80$ percent of data fall below $130$ right?or $20$ percent is between $130$ and $146$,we can count that $16$ data corresponds $20$ percent of data,so between $126$ and $130$ corresponds $5$ percent?here number if we count is $3$ number,but are they asking percents or numbers?
EDITED:
i have not counted $800$, $20$ percent between $130$ and $146$ means that $160$ number fall between this interval,so between $126$ and $130$ would it be $160/16*3=30$? about range it is maximum minus smallest or $146-105=41$
Best Answer
I think the median (the central line) is closer to $118$ than $116$, but your other values seem reasonable.
If the range is a single length then it is $146-105=41$, as in your edit.
On (b) I would have said that if 5% of the measurements (the difference between 80% and 75%) are between $126$ and $130$, then this corresponds to $800 \times 0.05 = 40$ actual measurements.