2. Compare the histogram at 5 bins and at 25 bins. What does the narrower bin width reveal that the wider bin width obscures? a. A distribution with two peaks; one at \( \$ 25,000 \) and the other at \( \$ 35,000 \) b. A symmetrical distribution with a single peak at \( \$ 30,000 \) c. A distribution with two peaks; one at \( \$ 30,000 \) and the other at \( \$ 40,000 \) d. A symmetrical distribution with a single peak at \( \$ 35,000 \) -Select : 3

A histogram with narrower bin widths, like 25 bins, allows for greater detail in displaying the data, showcasing subtle variations and possibly revealing multiple peaks in the distribution that a wider bin width, such as 5 bins, might hide. This means you can see whether the data clusters around certain values or even if there are hidden patterns, like the presence of distinct groups within your dataset. In this case, if you were to observe the data closely, a narrower bin size could show that the distribution might have two recognizable peaks, one at $30,000 and the other at $40,000, while a wider bin would suggest a more averaged-out single peak, missing those nuances. It’s like comparing a zoomed-in image versus a blurry one—details matter!