Question

lilly stores her craft stickers in two containers. each container has 300 stickers of different colors. the box plots show the number of green stickers found in random samples of 30 stickers from each container. what do you notice about the data sets? the centers and the spreads look about the same for both containers. the centers look very different, but the spreads look about the same. the centers look about the same, but the spreads look very different. the centers and the spreads look very different for the two containers.

Explanation:

• Center (Median):
• For a box - plot, the median is represented by the line inside the box.
• Looking at the box - plots of Container A and Container B, the medians (the lines inside the boxes) are approximately in the same region (around the middle of the scale for the number of green stickers).
• Spread (Inter - Quartile Range and Overall Range):
• The inter - quartile range (IQR) is the length of the box (from the lower quartile to the upper quartile). The overall range is from the minimum to the maximum value (represented by the whiskers and the outliers, if any).
• Container A has a much larger box (IQR) and a larger overall range (from the minimum to the maximum number of green stickers in the sample) compared to Container B.

Answer:

The centers look about the same, but the spreads look very different.