Grafschaft had a population (as of 2015) of 206.
 As of 2008, 7.6% of the population are resident foreign nationals.
 Over the last 10 years (1999–2009 ) the population has changed at a rate of -4.3%.
 It has changed at a rate of 3.4% due to migration and at a rate of -3.4% due to births and deaths.

Most of the population (as of 2000) speaks German (186 or 96.9%) as their first language, Serbo-Croatian is the second most common (4 or 2.1%) and French is the third (1 or 0.5%).

As of 2008, the gender distribution of the population was 47.7% male and 52.3% female.
 The population was made up of 90 Swiss men (45.2% of the population) and 5 (2.5%) non-Swiss men.
 There were 93 Swiss women (46.7%) and 11 (5.5%) non-Swiss women.
 Of the population in the municipality 109 or about 56.8% were born in Grafschaft and lived there in 2000.
 There were 53 or 27.6% who were born in the same canton, while 15 or 7.8% were born somewhere else in Switzerland, and 10 or 5.2% were born outside of Switzerland.

The age distribution of the population (as of 2000) is children and teenagers (0–19 years old) make up 22.4% of the population, while adults (20–64 years old) make up 54.7% and seniors (over 64 years old) make up 22.9%.

As of 2000, there were 73 people who were single and never married in the municipality.
 There were 102 married individuals, 13 widows or widowers and 4 individuals who are divorced.

As of 2000, there were 69 private households in the municipality, and an average of 2.3 persons per household.
 There were 24 households that consist of only one person and 3 households with five or more people.
 Out of a total of 70 households that answered this question, 34.3% were households made up of just one person and there was 1 adult who lived with their parents.
 Of the rest of the households, there are 15 married couples without children, 24 married couples with children  There were 4 single parents with a child or children.
 There was 1 household that was made up of unrelated people and 1 household that was made up of some sort of institution or another collective housing.

In 2000 there were 72 single family homes (or 45.0% of the total) out of a total of 160 inhabited buildings.
 There were 73 multi-family buildings (45.6%), along with 8 multi-purpose buildings that were mostly used for housing (5.0%) and 7 other use buildings (commercial or industrial) that also had some housing (4.4%).

In 2000, a total of 69 apartments (23.5% of the total) were permanently occupied, while 191 apartments (65.2%) were seasonally occupied and 33 apartments (11.3%) were empty.

The historical population is given in the following chart:
Grafschaft had a population (as of 2015) of 206.  As of 2008, 7.6% of the population are resident foreign nationals.  Over the last 10 years (1999–2009 ) the population has changed at a rate of -4.3%.  It has changed at a rate of 3.4% due to migration and at a rate of -3.4% due to births and deaths.
Most of the population (as of 2000) speaks German (186 or 96.9%) as their first language, Serbo-Croatian is the second most common (4 or 2.1%) and French is the third (1 or 0.5%).
As of 2008, the gender distribution of the population was 47.7% male and 52.3% female.  The population was made up of 90 Swiss men (45.2% of the population) and 5 (2.5%) non-Swiss men.  There were 93 Swiss women (46.7%) and 11 (5.5%) non-Swiss women.  Of the population in the municipality 109 or about 56.8% were born in Grafschaft and lived there in 2000.  There were 53 or 27.6% who were born in the same canton, while 15 or 7.8% were born somewhere else in Switzerland, and 10 or 5.2% were born outside of Switzerland.
The age distribution of the population (as of 2000) is children and teenagers (0–19 years old) make up 22.4% of the population, while adults (20–64 years old) make up 54.7% and seniors (over 64 years old) make up 22.9%.
As of 2000, there were 73 people who were single and never married in the municipality.  There were 102 married individuals, 13 widows or widowers and 4 individuals who are divorced.
As of 2000, there were 69 private households in the municipality, and an average of 2.3 persons per household.  There were 24 households that consist of only one person and 3 households with five or more people.  Out of a total of 70 households that answered this question, 34.3% were households made up of just one person and there was 1 adult who lived with their parents.  Of the rest of the households, there are 15 married couples without children, 24 married couples with children  There were 4 single parents with a child or children.  There was 1 household that was made up of unrelated people and 1 household that was made up of some sort of institution or another collective housing.
In 2000 there were 72 single family homes (or 45.0% of the total) out of a total of 160 inhabited buildings.  There were 73 multi-family buildings (45.6%), along with 8 multi-purpose buildings that were mostly used for housing (5.0%) and 7 other use buildings (commercial or industrial) that also had some housing (4.4%).
In 2000, a total of 69 apartments (23.5% of the total) were permanently occupied, while 191 apartments (65.2%) were seasonally occupied and 33 apartments (11.3%) were empty.
The historical population is given in the following chart:
Grafschaft, Switzerland