2) The following two data sets give the ages of the first six and last six (through Barack Obama) U.S. Presidents' ages when they were inaugurated. (Source: https://en.wikipedia.org/wiki/List_of_Presidents_of_the_United_States_by_age) First Six Presidents Age at Inauguration George Washington 57 John Adams 61 Thomas Jefferson 57 James Madison 57 James Monroe 58 John Quincy Adams 57 Last Six Presidents Age at Inauguration Jimmy Carter 52 Ronald Reagan 69 George H.W. Bush 54 Bill Clinton 46 George W. Bush 54 Barack Obama 47 a) Without doing any calculations, which set has the greater standard deviation? (2 points) O Last Six Presidents O First Six Presidentsb) Calculate the standard deviation of the ages for the First Six U.S. Presidents by hand by answering the following questions and filling in the table. We will want our final answer to be correct to 3 decimal places. So, to make sure we don't get any rounding error, we will do all calculations to 6 decimal places until the final answer. (1 point each) Round each answer to 6 decimal places. What is the mean age (X ) of the First Six Presidents? Round your answer to 6 decimal places. Mean = HINT: You are strongly encouraged to verify this calculation using your calculator Fill in the following values in the table using the rounded mean you got in the question above. Round each answer to 6 decimal places. First Six Presidents Age ( X - X ) ? George Washington 57 John Adams 61 Thomas Jefferson 57 James Madison 57 James Monroe 58 John Quincy Adams 57 SUM What is the standard deviation of the First Six Presidents? (4 points) Round your answer to 3 decimal places as needed Standard Deviation = HINT: You are strongly encouraged to verify this calculation using your calculatorc) Calculate the standard deviation of the ages for the Last Six U.S. Presidents by hand by answering the following questions and filling in the table. We will want our final answer to be correct to 3 decimal places. So, to make sure we don't get any rounding error, we will do all calculations to 6 decimal places until the final answer. (1 point each) Round each answer to 6 decimal places. What is the mean age (X ) of the Last Six Presidents? Round your answer to 6 decimal places. Mean = HINT: You are strongly encouraged to verify this calculation using your calculator Fill in the following values in the table using the rounded mean you got in the question above. Round each answer to 6 decimal places. Last Six Presidents Age ( X - X) Jimmy Carter 52 Ronald Reagan 69 George H.W. Bush 64 Bill Clinton 46 George W. Bush 54 Barack Obama 47 SUM What is the standard deviation of the Last Six Presidents? (4 points) Round your answer to 3 decimal places as needed Standard Deviation = HINT: You are strongly encouraged to verify this calculation using your calculator