alleryStart learning →Between one standard deviation and two, the extra share of values captured is about:
A27 percent
B5 percent
C68 percent
D95 percent
Answer & Solution
Correct answer: A. 27 percent
1. The empirical rule gives cumulative percentages, not shares of each band.
2. About 95 percent of the x values lie within two standard deviations of the mean.
3. About 68 percent lie within one standard deviation.
4. Subtracting gives roughly 27 percent for the band between one and two deviations.
_Source: OpenStax Introductory Statistics 2e (CC BY 4.0), Ch 6 'The Normal Distribution', sections 6.1-6.3_
Keep practising The Normal Distribution
Browse all The Normal Distribution questions for AP Statistics, or explore more Statistics topics.
Related questions
Complete the standardising ruleWhich band holds more data?True or false: the normal curveKey in the empirical ruleMatch each z-score to its shareRecognising the standard normal distribution matters because it can then be:The z-scores minus 2 and plus 2 correspond to which pair of original values in a distributIf about 68 percent of values lie within one standard deviation, the share lying outside t