Home › Praxis Core (Teaching) › Mathematics › The Normal Distribution › A normal distribution has a mean of 50 and a sta…
A normal distribution has a mean of 50 and a standard deviation of 6. About 95 percent of its values lie between which two numbers?
A44 and 56
B32 and 68
C38 and 62
D26 and 74
Answer & Solution
Correct answer: C. 38 and 62
1. About 95 percent of values sit within two standard deviations of the mean.
2. Two standard deviations here is 2 times 6, which is 12.
3. Below the mean gives 50 minus 12, which is 38.
4. Above the mean gives 50 plus 12, which is 62.
5. The pair 44 and 56 is only one standard deviation out and covers about 68 percent.
_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: