Question

which normal distribution has the greatest standard deviation?
80 88 96 104 112

Explanation:

Step1: Recall SD in normal distribution

In a normal distribution, the standard deviation (SD) determines the width of the curve. A smaller SD means a taller, narrower curve; a larger SD means a shorter, wider curve.

Step2: Analyze the given curve

The provided curve is tall and narrow, indicating a small SD. But since the question is about which has the greatest SD (implying there are multiple curves, though only one is shown here—maybe a missing part? Wait, perhaps the original problem had multiple graphs. Assuming typical problems: the curve with the widest spread (shortest peak, widest base) has the greatest SD. But since only one is shown, maybe there was a formatting error. However, if we consider the concept: the more spread out the data (wider curve), the larger the SD. So if there were other curves, the one with the widest horizontal spread (flattest, most spread-out peak) would have the greatest SD.

Answer:

(Assuming a typical problem with multiple curves, the curve that is the widest (shortest, most spread) has the greatest standard deviation. If the given curve is one of several, the one with the broadest base (not this tall narrow one) would be the answer. But since only one is shown here, maybe the question had a typo or missing graphs. However, based on the concept, the normal distribution with the widest spread (largest horizontal extent) has the greatest standard deviation.)