Which of the following statements about standard deviation is true?
  1. A standard deviation is the difference between the highest and lowest values in a distribution of data.
  2. About 2/3 of the values in a normal distribution lie within one standard deviation from the mean.
  3. Standard deviation measures extreme values only.
  4. Standard deviation is calculated from the slope of a regression line.
Explanation
Answer: B - The true statement about standard deviation is that 2/3 of the values in a normal data distribution lie within one standard deviation from the mean. Standard deviation is a statistical measure that shows the degree of variation from the mean in a distribution. Standard deviation does not measure the difference between the highest and lowest values in a data set, and considers the variation in all of the data. Standard deviation is calculated from a formula using the square root of all the deviations in the data.
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