Question

Listed below are the highest amounts of net worth (in millions of dollars) of celebrities. The celebrities are Tom Cruise, Will Smith, Robert De Niro, Drew Carey, George Clooney, John Travolta, Samuel L. Jackson, Larry King, Demi Moore, and Bruce Willis. Find the range, variance and standard deviation. Are the measures of variation typical for all celebrities?
{ 250, 200, 185, 165, 160, 160, 150, 150, 150, 150 }

Answer 1

The range's difference is the highest and lowest value of the data

RANGE= 250-150= 100

The mean would be the sum of all values divided by how many values

250+200+185+165+160+150+150+150+150 / 10 = 1720/10 = 172

The variance is the sum of squared deviations

*n=10

s^2 = (250-172)^2+(150-172)^2 / 10-1

which equals an esitmate of 1034.4444

take the square root and you get your final answer of 32.1628

The measure of the variation isn't typical for all celebs, since the numbers are only based on ten highest networths