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Problem of the Week
Problem B
Means à la Mode

Octavia has a large bin of blocks. Using \(18\) blue blocks she makes exactly six towers. The height of the tower is the total number of blocks used in that tower.

Tower A has 3 blocks, Tower B has 3 blocks, Tower C has 1 block, Tower D has 4 blocks, Tower E has 3 blocks, and Tower F has 4 blocks.

  1. Determine the mean, the median, and the mode of the heights of the towers made by Octavia.

  2. Create a different set of six towers using \(18\) blocks where the mean height is greater than the mode height.

  3. Create a different set of six towers using \(18\) blocks where the mean height is greater than the median height.

  4. Create a different set of six towers using \(18\) blocks where the median height is greater than the mean height.

Theme: Data Management