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The Bulldozer Leveler: Visualizing Mean

  • Feb 8
  • 2 min read

The Mission: 

The construction site is uneven! Some piles of dirt are too high, and some are too low. Your job is to find the perfect Average Height (Mean). You must set a "laser level" so that the excess dirt from the high piles perfectly fills the gaps in the low piles.


Math Skills:

  • Arithmetic Mean: Understanding "Average" as a process of redistribution or leveling.

  • Balancing Data: Learning that the total amount above the mean must equal the total amount below the mean.

  • Estimation: Visually estimating the center value of a data set.


How to Play:

  1. Analyze the Piles: Look at the different heights of the dirt piles.

  2. Set the Level: Tap or click anywhere on the screen to set your Laser Level line.

  3. Check the Balance: Look at the top stats:

    • Excess (Red): How much dirt is above your line.

    • Gap (Blue): How much empty space is below your line.

  4. Match Them: Adjust your line up or down until the Excess equals the Gap.

  5. Bulldoze: Click the CHECK button. If you are correct, the bulldozer will move the dirt to flatten the ground perfectly!

推土機平整大師:平均數視覺化


任務簡介: 

建築工地凹凸不平!有些土堆太高,有些則太低。你的工作是找出完美的 平均高度 (Mean)。你需要設定一條「雷射水平線」,讓高處多出來的泥土剛好能填滿低處的空缺。


數學技能:

  • 算術平均數: 理解「平均」是一個重新分配或拉平的過程。

  • 數據平衡: 學習平均線之上的總量必須等於平均線之下的總量。

  • 估算: 視覺化估計一組數據的中心值。


玩法說明:

  1. 分析土堆: 觀察不同高度的泥土堆。

  2. 設定水平: 在螢幕上點擊以設定你的 雷射水平線

  3. 檢查平衡: 查看頂部數據:

    • 多出 (Excess - 紅色): 你的線 上方 有多少泥土。

    • 缺少 (Gap - 藍色): 你的線 下方 有多少空位。

  4. 配對: 上下調整你的線,直到 多出 的數量等於 缺少 的數量。

  5. 推土: 點擊 檢查水平 (CHECK) 按鈕。如果你是對的,推土機就會移動泥土,將地面完美整平!

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