I CAN'T FIGURE OUT THE MATH... Lab result is 168.0, low range is 70.00, high range is 80, how did they get 980% deviation

another one is how to find the % deviation from median- how did they get 273 % deviation??

% deviation                 my lab.       low            high

 273 3.2 0 0.99

Can you provide more information, such as units of measurement and the context? Are these medical results? How was the median calculated? Is it the centre of the range? Is 168 a mean value? A median? Are the measurements taken over a period of time? Do you have a dataset?

yes. it is blood work that they give a % deviation from median ( i am guessing)

% FROM MEDIAN.     my result.    low.          high

Hs CRP, Female 273 mg/l 3.20 0.00 0.99
Cholesterol - Total 244 mg/dL 258.00 155.00 190.00
TSH 232
 µU/mL
6.63 1.00 3.00

does that help? They say it is " % deviation " thats it this is what it looks like.

I found the following which may give you some clues. If you are a medical student you may already know this. If, like me, you are non-medical, it may help you to understand a bit more about the subject. The Hs-CRP test (high sensitivity C-reactive protein—female) expects to find low CRP levels (including zero) in the blood apparently, and suggests inflammation perhaps caused  by infection. Here’s a link which you might find useful:

https://labtestsonline.org.uk/articles/laboratory-test-reference-ranges

In the meantime I will try to find a mathematical answer to your question. This is how I think the CRP result was calculated. The median (supposedly the centre of the range) is 0.99/2=0.495. 3.20 differs by 3.2-0.495=2.705. When this is divided by the high value or the range we get 2.705/0.99=2.732, which is 273.2%.

If we do the same with the other reading we get a median of 75 (midway between 70 and 80) and a deviation of 168-75=93. If we divide by the range 80-70=10, we get 9.30 which is 930% (not 980%).

However, if we measure the deviation from the low value of 70, we get 168-70=98, divided by the range 10 gives us 9.8=980%.

One more observation: the mean is the average value (the actual centre of the range) but the median is something different: it’s the central value in a dataset, so, in a large dataset of blood samples, the mean (average) could be the same as the median, and often is, but in many cases the median could be different. So if there is a preponderance of data around a certain value, the median could be displaced from the mean. In the first test, the results of population blood tests could have established that the value of 70 (or thereabouts) was more common than the mean 75, even though the spread of the data made the average 75 (called a positive skew distribution). I believe this to be the case, and that’s why they give the percentage deviation from the median rather than from the mean. by Top Rated User (815k points)