A data set consists of 8 distinct positive integers. The smallest integer in the set is increased, and the largest integer in the set is decreased. All other integers in the set remain unchanged. Which of the following statements is true about the range and standard deviation of the data set after these changes?
Both the range and the standard deviation decrease.
Both the range and the standard deviation increase.
The range decreases, and the standard deviation increases.
The range increases, and the standard deviation decreases.
