Home › Praxis Core (Teaching) › Mathematics › The Normal Distribution › About 68 percent of a normal distribution lies w…
About 68 percent of a normal distribution lies within one standard deviation of the mean and about 95 percent within two. About what percent lies between the first and second standard deviations, counting both sides?
AAbout 27 percent
BAbout 13 percent
CAbout 34 percent
DAbout 47 percent
Answer & Solution
Correct answer: A. About 27 percent
1. The band out to two standard deviations holds about 95 percent of the values.
2. The band out to one standard deviation holds about 68 percent.
3. The strip between them is the larger band with the inner band taken out.
4. Subtracting gives 95 minus 68.
5. That difference is about 27 percent.
6. The figure covers both sides of the mean at once, so it should not be halved or doubled.
7. The answer of about 13 percent is one side only, which halves the correct value.
8. The answer of about 34 percent is the stretch from the mean out to one standard deviation.
_Source: OpenStax High School Statistics (CC BY 4.0), section 6.1 The Standard Normal Distribution_
Related questions
Recognising 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 tA z-score of zero corresponds to a value that is:Two normal curves with different standard deviations must still have equal:A normal distribution is often described by the shape of its curve as:The z-scores that bound the middle 99.7 percent of a normal distribution are:Between one standard deviation and two, the extra share of values captured is about: