[3] In the 13th century the village belonged to the Knights Templar and it came into the possession of the Order of St John in 1315.

[3] It was united with the settlement at Cransaz to form a commandry which was headed by the preceptors of Vaud.

[4] La Chaux has an area, as of 2009[update], of 6.75 square kilometers (2.61 sq mi).

The blazon of the municipal coat of arms is Per fess Argent and Gules, two Maltese Crosses one and one counterchanged.

[10] Most of the population (as of 2000[update]) speaks French (317 or 90.1%), with German being second most common (14 or 4.0%) and Portuguese being third (7 or 2.0%).

[11] Of the population in the municipality 104 or about 29.5% were born in La Chaux and lived there in 2000.

[9] The age distribution, as of 2009[update], in La Chaux is; 46 children or 11.5% of the population are between 0 and 9 years old and 63 teenagers or 15.8% are between 10 and 19.

[10] The historical population is given in the following chart:[3][14] In the 2007 federal election the most popular party was the SVP which received 23.2% of the vote.

In the federal election, a total of 128 votes were cast, and the voter turnout was 51.2%.

[10] There were 184 residents of the municipality who were employed in some capacity, of which females made up 42.4% of the workforce.

In 2008[update] the total number of full-time equivalent jobs was 53.

In the tertiary sector; 10 or 52.6% were in wholesale or retail sales or the repair of motor vehicles, 4 or 21.1% were in a hotel or restaurant, 2 or 10.5% were technical professionals or scientists, 1 was in education.

[10] From the 2000 census[update], 65 or 18.5% were Roman Catholic, while 192 or 54.5% belonged to the Swiss Reformed Church.

In the Vaud cantonal school system, two years of non-obligatory pre-school are provided by the political districts.

[18] During the school year, the political district provided pre-school care for a total of 631 children of which 203 children (32.2%) received subsidized pre-school care.

The canton's primary school program requires students to attend for four years.