i'm trying to represent concentration/distribution across a set of categories.
Specifically these are job types, e.g. tourism, manufacturing, transport, education. Let's say there are 10 job types and 3 cities:
City 1: 100k jobs. All are in tourism. [highly concentrated]
City 2: 75k jobs, 91% in tourism, 1% in each of 9 other industries. [highly concentrated]
City 3: 30k jobs, 10% in each of 10 industries. [highly distributed]
I'm not a stats guy but this feels like it should be something obvious and i'm struggling to find it. i can't see how i could use stand dev as there is no mean.