alleryStart learning →Two normal curves share the same mean, but one has a larger standard deviation. How does that one look?
ATaller and thinner
BWider and flatter
CShifted to the right
DShifted to the left
Answer & Solution
Correct answer: B. Wider and flatter
1. Standard deviation measures how spread out the values are.
2. A larger standard deviation spreads the values further from the mean.
3. The area under the curve is fixed at one, so spreading it out must flatten it.
4. Both curves keep the same mean, so neither one is shifted sideways.
_Source: OpenStax High School Statistics (CC BY 4.0), section 6.1 The Standard Normal Distribution_
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