Lets say I have a list of numbers.
income=[17000, 11000, 23000, 19999, 21000, 10000]
I sort them income_sorted=[10000, 11000, 17000, 19999, 21000, 23000]
Calculate med 2nd Quartile.
Median_formula = (n+1)/2
The Attempt at a Solution
The second quartile and the median are most cases the same, so the median is 17000.
Then since there 6 observations.
I use the formula to Calculate the median and find that median = (6+1)/2 = 3.5
Meaning that the median is between the third and fourth number.
Find the average between those (17000+19999)/2 = 18500.
So my question aren't the median and 2.quartile suppose of a set of non-grouped observations suppose to equal each other? Or have I slept through statistics class?