The most critical aspect of this problem is to use an array formula. After you type the formula into a the cell you need to press CTRL+SHIFT+ENTER instead of just ENTER. This lets Excel know you want to evaluate an array (collection of cells in multiple columns) all at once, instead of considering just single cells or columns.
There are three main parts to this equation.
1) Add all the values in column 2 that correspond to specific values in column 1.
=SUM(IF(C3:C12>1,D3:D12,0))
2) Determine how many values in column 2 correspond to specific values in column 1.
=COUNT(IF(C3:C12>1,MATCH(D3:D12,D3:D12,0)))
3) Divide the SUM by the COUNT.
=SUM(IF(C3:C12>1,D3:D12,0))/COUNT(IF(C3:C12>1,MATCH(D3:D12,D3:D12,0)))
EXAMPLE SETUP:
- Put evaluation critera in C3:C12 (values that include > 1)
- Put results in D3:D12 (values for which you want to find the median)
- Put the following formula in D13:
=SUM(IF(C3:C12>1,D3:D12,0))/COUNT(IF(C3:C12>1,MATCH(D3:D12,D3:D12,0)))
After you press CTRL+SHIFT+ENTER you will see the following in the formula bar for D13:
{=SUM(IF(C3:C12>1,D3:D12,0))/COUNT(IF(C3:C12>1,MATCH(D3:D12,D3:D12,0)))}
NOTE: If you see the #VALUE! error message in the cell, that probably means you pressed ENTER instead of the combination of CTRL+SHIFT+ENTER to tell Excel you want to use an array. If you just surround the formula with {} and press enter, you still will get the error message. You must use CTRL+SHIFT+ENTER to enter an array formula.
When a distribution is skewed to the right, the mean is greater than median.
Yes.
you just simply cut it in half and you'll have the median
The formula is: median of lognormal = exp(u)
7,6,4,92,57,32
n+1/2
The median is the midpoint of the data set. So half the observations are greater than the median and half are smaller.
The median of a set of numbers is the value that has an equal count of numbers greater and less. In this example there are three numbers greater and three numbers less than 2.5, so the median is 2.5.
N+1/2
Generally, when the median is greater than the mean it is because the distribution is skewed to the left. This results in outliers or values further below the median than above the median which results in a lower mean value than median value. When a distribution is skewed left, it is generally not very symmetrical or normally distributed.
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.
b1+b2/2