Final answer:
To find locations where the average salary exceeds $4,000, one would need to compute the average salaries from all departments within each location. Standard deviation can exceed the average in skewed distributions. Salaries closer to the mean are statistically more likely in a normal distribution.
Step-by-step explanation:
To find the location with an average salary of more than $4,000, you would require data on the average salaries for each location. Since locations can have multiple departments, you would calculate the mean of the wages for all departments within each location. If the overall mean exceeds $4,000, that location meets the criteria.
The standard deviation can indeed be greater than the average, especially in distributions where a significant number of observations are far from the mean or in a highly skewed distribution. For instance, if a few people earn extremely high salaries, it can increase the standard deviation significantly while the average salary remains lower.
It is more likely that the average salary of the 1,000 residents will be from $2,000 to $2,100 than from $2,100 to $2,200 because of the characteristics of a normal distribution, where data tend to cluster around the mean, making values closer to the mean more likely than those farther away.