Question

mr. higa places two bins of colored tiles in front of his classroom. each bin contains 200 tiles. he challenges students to predict the number of orange tiles in each bin. to help, he lets each student choose a random sample of 10 tiles from each bin. the dot plots show the sample results from all the students. what do you notice about the data sets? the centers look about the same, but the spreads look very different. the centers and the spreads look about the same for both bins. the centers and the spreads look very different for the two bins. the centers look very different, but the spreads look about the same.

Explanation:

• Center: The center of a data set (in dot - plots, we can roughly estimate it by looking at the middle of the data distribution). For Bin A, the data is centered around 4 (most of the dots are around 4). For Bin B, the data is also centered around 4 (most of the dots are around 4).
• Spread: The spread of a data set refers to how the data is dispersed. For Bin A, the data is spread from 1 to 6. For Bin B, the data is spread from 2 to 7. The spreads are about the same as both have a relatively similar range of values (Bin A: \(6 - 1=5\), Bin B: \(7 - 2 = 5\))

Answer:

The centers and the spreads look about the same for both bins.