West coast has more pockets of high population density

Quartiles of district-wise population density (in persons per square kilometre)

There are 33 2011 census districts each on the west and east coast. The west coast runs from Kachchh in Gujarat to Thiruvananthapuram in Kerala. The east coast runs from North 24 Parganas in West Bengal to Kanniyakumari in Tamil Nadu.
Source: Population from 2011 census; Area from 2001 census and district websites