Question

Which normal distribution has the greatest standard deviation?

Answer 1

Answer with explanation:

Both the normal distribution curves have sample mean equal to 16.

Normal distribution curve 1 is more wider than Curve 2, resulting in greater standard deviation.

So, Curve 1 has the  greatest standard deviation.

Answer 2

The first normal distribution curve has the greatest standard deviation.

Standard deviation describes how far from the mean the given data set spread out.

• A normal distribution that is widely spread out has a high standard deviation while a normal distribution that is close to the mean has low standard deviation.
• From the given normal distribution curves, the first curve is widely distributed than the second which is clustered around the mean.

Thus, we can conclude that the first normal distribution curve has the greatest standard deviation.

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