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Balanced Scoring: Fair Competition for Houses of Different Sizes

Normalize scores by house size so smaller houses aren't disadvantaged.

Written by Laura Litton
Updated today

If you're running a house competition where houses have different numbers of students, raw points alone can be misleading. A house with 80 students will naturally earn more points than a house with 50, even if the smaller house's students are more engaged.

The Balanced Score fixes this by adjusting for house size, so every house competes on equal footing.

👤 Who can turn this on: Admins and Site Leaders. Once enabled, everyone (Admins, Site Leaders, and Teachers) sees balanced scores on the Overview and Competition Dashboard.

When to use Balanced Scoring

Turn it on if:

  • Your houses have noticeably different student counts (e.g., 80 in one house and 120 in another)

  • You want smaller houses to have a fair shot at winning

  • Your houses are built from grade levels or rosters of unequal size

Leave it off if:

  • All houses have roughly the same number of students

  • You want the raw, unweighted total (e.g., "most points wins")

How to turn it on

  1. Go to House Points > Settings.

  2. Find Balanced House Scoring under Competition Settings.

  3. Toggle it on.

Once enabled, balanced scores are used automatically across the app.

Where you'll see it once it's on

  • Competition Dashboard: the "live" standings shown on hallway TVs now display balanced scores.

  • Overview screen: the chart and House cards show balanced scores.

  • Houses > Fairness tab: shows a side-by-side breakdown of Raw Points, Balanced Score, and Avg Points/Student for every house.

Teachers award points the same way as always - the scoring engine handles the math behind the scenes.

The three numbers, explained

  1. Raw Points Earned is exactly what it sounds like: the total points your house has earned. No adjustments.

  2. Avg Points/Student is Raw Points ÷ Total Students. It tells you how engaged your house is per student, and it's the truest apples-to-apples comparison across houses because it isn't affected by size.

  3. Balanced Score takes that per-student average and scales it back up using the average house size across your school. The result still looks like a points total (so it feels like a scoreboard), but larger houses don't win just by having more kids.

The formulas

Fairness Factor     = Average House Size ÷ This House's Size Balanced 

Balanced Score = Raw Points × Fairness Factor

Avg Points/Student = Raw Points ÷ Total Students
  • Smaller houses get a boost (Fairness Factor above 1).

  • Larger houses get a modest penalty (Fairness Factor below 1).

  • If your house is exactly average size, your Balanced Score equals your Raw Points.

An example

Let's say a school has four houses:

House

Students

Raw Points

Red

50

6,000

Blue

40

5,200

Green

60

6,900

Yellow

50

5,400

Total students: 200. Average house size: 50.

Now calculate each column:

House

Students

Raw Points

Fairness Factor

Balanced Score

Avg Pts/Student

Red

50

6,000

1.00×

6,000

120.0

Blue

40

5,200

1.25×

6,500

130.0

Green

60

6,900

0.83×

5,750

115.0

Yellow

50

5,400

1.00×

5,400

108.0

Notice what happened:

  • Green earned the most raw points (6,900) but came in last on Balanced Score. With more students, more points are expected.

  • Blue earned fewer raw points than Green but wins the Balanced Score, because their students are the most engaged (130 points each on average).

  • Red and Yellow are average size, so their Fairness Factor is 1.00×, and their Balanced Score equals their Raw Points.

This is the whole point of the Balanced Score: it rewards engagement, not headcount.

A common question

"If I divide the Balanced Score by Total Students, why doesn't it equal Avg Points/Student?"

Good catch. It doesn't, and it shouldn't. Here's why:

  • Avg Points/Student uses Raw Points ÷ Students. It's the real per-student average.

  • Balanced Score already has the size adjustment baked in. Dividing it by students again would apply that adjustment twice.

For Blue in the example above:

  • Correct: 5,200 ÷ 40 = 130.0

  • Not correct: 6,500 ÷ 40 = 162.5 ✗

Think of Balanced Score and Avg Points/Student as two views of the same underlying performance: one scaled to look like a scoreboard, one shown as a clean per-student number. They're not meant to divide into each other.

Quick reference

  • Want to see who earned the most points overall? Look at Raw Points.

  • Want to see which house is most engaged per student? Look at Avg Points/Student.

  • Want a fair scoreboard that accounts for different house sizes? Look at Balanced Score.

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