It depends on whether you mean median in terms of statistical data or the line joining a vertex of a triangle to the midpoint of the opposite side.
The Statistical Median:
If there are n observations where n is odd, then the median is the (n+1)/2 smallest observation. If n is even, then the median is the arithmetical mean of the n/2 and n/2+1 smallest observations.
The Coordinate Geometry Median:
Given triangle ABC, with A = (xa, ya), B = (xb, yb) and C = (xc, yc), the midpoint, D of BC is [(xb+xc)/2, (yb+yc)/2] and so, the equation of the median AD is
(y-ya)/(x-xa) = (2ya-yb-yc)/(2xa-xb-xc)
you just simply cut it in half and you'll have the median
The formula is: median of lognormal = exp(u)
n+1/2
If you want to get the median of numbers within the first quartile, you have to use the QUARTILE, MEDIAN and IF functions together and then enter it as an array formula. Say your values are in the cells from E2 to E27. =MEDIAN( IF( E2:E27<=QUARTILE( E2:E27,1 ), E2:E27 ) ) To enter it as an array formula, you must press Ctrl- Shift - Enter together. The formula will then appear with curly braces around it, indicating that it is an array function.
the average lengh of the top and bottem together
you just simply cut it in half and you'll have the median
The formula is: median of lognormal = exp(u)
n+1/2
N+1/2
If you want to get the median of numbers within the first quartile, you have to use the QUARTILE, MEDIAN and IF functions together and then enter it as an array formula. Say your values are in the cells from E2 to E27. =MEDIAN( IF( E2:E27<=QUARTILE( E2:E27,1 ), E2:E27 ) ) To enter it as an array formula, you must press Ctrl- Shift - Enter together. The formula will then appear with curly braces around it, indicating that it is an array function.
the average lengh of the top and bottem together
You have to use the MEDIAN and IF function together and then enter it as an array formula. Say you wanted to find the median of values in cells from E2 to E27 that were over 20, you would type this in. =MEDIAN( IF( E2:E27>20, E2:E27 ) ) To enter it as an array formula, you must press Ctrl- Shift - Enter together. The formula will then appear with curly braces around it, indicating that it is an array function.
m^2=(2b^2+2c^2-a^2)/4 where m is the median of triangle ABC.
If you will let me assume that the probability density function (pdf) is absolutely continuous over its support then the median is given as the integral from -inf to the median of the pdf over that support = 1/2.
To find the median of a trapezoid, you would add the lengths of the two bases of the trapezoid and then divide by 2. This will give you the median, which is the segment connecting the midpoints of the two non-parallel sides of the trapezoid.
Simple answer:Divide the total number of observations (plus 1, if small) by 2 to find the middle rank.Look at the cumulative frequencies for the grouped data and find the group in which the middle rank would appear. That is the median group.More sophisticated answer:Withing the median group, interpolate.
Each has its advantages and disadvantages and the answer will depend on the nature of the data.