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Provide an Appropriate Response A)(i) Without Doing Any Calculations, Decide for Which City the Cases

Question 95

Multiple Choice

Provide an appropriate response.
-Following is the number of reported cases of influenza for two cities for the years 1996 through 2005:  City A 1163195414871864177912441332129913531802 City B 93710238438299651011943831976858\begin{array}{|lcccccccccc|}\hline \text { City A } & 1163 & 1954 & 1487 & 1864 & 1779 & 1244 & 1332 & 1299 & 1353 & 1802 \\\hline \text { City B } & 937 & 1023 & 843 & 829 & 965 & 1011 & 943 & 831 & 976 & 858 \\\hline\end{array}


A) (i) Without doing any calculations, decide for which city the standard deviation of the number cases of influenza is larger. Explain.
(ii) Find the individual population standard deviations of the number of cases of influenza. Round your final answer to two decimal places. Compare these answers with part (i) .
(i) The range of the values for City A is 767 , while it is only 121 for City B, so City A is likely to have the larger standard deviation.
(ii) City A's population standard deviation is 261.80; City B's population standard deviation is 69.4769.47 , so City A did have the larger standard deviation.
B) (i) The range of the values for City A is 791, while it is only 192 for City B, so City A is likely to have the larger standard deviation.
(ii) City A's population standard deviation is 278.43; City B's population standard deviation is 71.25, so City A did have the larger standard deviation.
C) (i) The range of the values for City A\mathrm { A } is 767 , while it is only 121 for City B, so City A is likely to have the larger standard deviation.
(ii) City A's population standard deviation is 277.37; City B's population standard deviation is 72.01, so City A did have the larger standard deviation.
D) (i) The range of the values for City A is 791, while it is only 192 for City B, so City A is likely to have the larger standard deviation.
(ii) City A's population standard deviation is 277.40; City B's population standard deviation is 71.29, so City A did have the larger standard deviation.

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