alleryStart learning →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_
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