Jason and Alex Were the Top Two Players in a Tennis

Multiple Choice

Jason and Alex were the top two players in a tennis tournament. They dominated the competition with a record number of aces (an ace is valid serve that could not be returned by an opponent) . The
Following table provides the number of aces served by each of the two players during the five sets: $$\begin{array} { | l | l l l l l | } \hline \text { Jason } & 3 & 4 & 3 & 3 & 4 \\\hline \text { Alex } & 6 & 5 & 2 & 3 & 1 \\\hline\end{array}$$

A) (i) Without doing any calculations, decide for which player the standard deviation of the number of
Aces is smaller. Explain.
(ii) Find the individual population standard deviations of the number of aces. Round your final
Answer to two decimal places. Compare these answers with part (i) . (i) The spread of the values appears to be smaller for Alex, so he is likely to have the smaller standard deviation.
(ii) Jason's population standard deviation is 1.32; Alex's population standard deviation is 1.01,
So Alex did have the smaller standard deviation.
B) (i) The spread of the values appears to be smaller for Jason, so he is likely to have the smaller standard deviation.
(ii) Jason's population standard deviation is 0.77; Alex's population standard deviation is 1.93,
So Jason did have the smaller standard deviation.
C) (i) The spread of the values appears to be smaller for Jason, so he is likely to have the smaller standard deviation.
(ii) Jason's population standard deviation is 0.49; Alex's population standard deviation is 1.85,
So Jason did have the smaller standard deviation.
D) (i) The spread of the values appears to be smaller for Alex, so he is likely to have the smaller standard deviation.
(ii) Jason's population standard deviation is 0.94; Alex's population standard deviation is 0.12,
So Alex did have the smaller standard deviation.