Step 1 :Given the net worths of six celebrities: Steven Spielberg (3700), Oprah Winfrey (3200), Paul McCartney (1200), J. K. Rowling (1000), David Copperfield (1000), and Jerry Seinfeld (950) in millions of dollars.
Step 2 :The range is calculated as the difference between the highest and lowest values. In this case, the range is \(3700 - 950 = 2750\) million dollars.
Step 3 :The variance is the average of the squared differences from the mean. The variance for this data set is approximately \(1320347\) million dollars squared.
Step 4 :The standard deviation is the square root of the variance. For this data set, the standard deviation is approximately \(1149\) million dollars.
Step 5 :These results indicate a significant disparity in the net worths of these celebrities. The high range, variance, and standard deviation suggest that the net worths are spread out over a large range and are not clustered around the mean.
Step 6 :Based on the precision of the amounts, it can be inferred that the net worths are estimated with a high degree of accuracy.
Step 7 :Final Answer: The range of the net worths is \(\boxed{2750}\) million dollars. The variance is approximately \(\boxed{1320347}\) million dollars squared. The standard deviation is approximately \(\boxed{1149}\) million dollars.