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For data following a normal distribution, roughly what share lies within one standard deviation of the mean?
ARoughly 50 percent of the data
BRoughly 95 percent of the data
CRoughly 68 percent of the data
DRoughly 99 percent of the data
Answer & Solution
Correct answer: C. Roughly 68 percent of the data
1. For a normal distribution the shares within one, two and three standard deviations are fixed.
2. One standard deviation captures approximately 68 percent of the data.
3. Two standard deviations capture about 95 percent and three capture more than 99 percent.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics", section 2.7 Measures of the Spread of the Data_
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