Please read the directions before answering. Show your work AND explain your rea

Question

Please read the directions before answering.

Show your work AND explain your reasoning using complete English sentences. Explanations must directly follow the solution for each part of the problem Use the following data obtained from ages of the last six U. S. Presidents at the time of their inauguration to answer the following questions: Ages of Last 6 Presidents at Inauguration Ronald Reagan George Bush Bill Clinton George W. Bush Barack Obama Donald Trum 69 64 46 54 47 70 Find the mean of the data set. (Round to one decimal place.) Find the standard deviation of the data set. (Do not round until the final answer. Round final answer to 1 decimal place.) What percentage of presidents' ages fall within one standard deviation of the mean? (Round to 1 decimal place.) b. C.

Explanation / Answer

SolutionA:

mean of the dataset=sum of ages/total prsidents

=69+64+46+54+47+70/5

=350/6

=58.3 years

mean of the dataset=58.3 years

Solutionb:

sample standard deviation=s=10.8

Solutionc:

According to empirical rule 68% of the data falls within one standard deviation of the mean.

ANSWER:68%

Ages(X) Xbar X-Xbar (X-Xbar)^2 69 58.3 10.7 114.49 64 58.3 5.7 32.49 46 58.3 -12.3 151.29 54 58.3 -4.3 18.49 47 58.3 -11.3 127.69 70 58.3 11.7 136.89 total 581.34 Xbar=mean=58.3 standard deviation=sqrt(x-xbar)^2/n-1 =sqrt(581.34/6-1) =SQRT(116.268) 10.78276

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