Why is proportional representation considered to more closely reflect the voting pattern of the electors?

How to calculate the quota for electing senators.

Calculating the quota for electing senators to the Australian Parliament

Parliamentary Education Office (peo.gov.au)

Calculating the quota for electing senators to the Australian Parliament

How to calculate the quota for electing senators.

Parliamentary Education Office (peo.gov.au)

Description

This diagram shows how to calculate the quota for electing 6 state senators.

Quota equation: 

(Total votes ÷ Senators required + 1) + 1 = Quota

Example:

700 000 total votes, 6 senators required

(700 000 ÷ 6 + 1) + 1 = Quota.

700 000 ÷ 7 = 100 000,

100 000 ÷ 1 = 100 001

Quota = 100 001

Thanks for your question, Justin. In the Australian Parliament, senators are elected using a system of proportional voting, designed to allocate seats to candidates in proportion to votes cast in an election. Proportional voting allows for a wider range of political parties and/or independents to be elected to the Senate, increasing the range of community viewpoints represented in the Parliament.

To win a seat, a senator must win a quota of first and later preferences. For a state senator at a half-Senate election, this equals 14.3% of the total state vote, while a territory senator must win 33.3% of the total territory vote.

The counting procedure for a Senate election is more complicated than the system used for the House of Representatives, and it sometimes takes several weeks after an election to count all the Senate votes and finalise the result.