Problem

HW Score: $33.51 \%, 6.7$ of 20 points Part 6 of 16 Points: 0 of 1 Save The table to the right gives the average sales tax rate (state plus local) in six east coast states and six western states. Complete parts (a) through $(\mathrm{e})$ below. \begin{tabular}{|l|l|lr} \multicolumn{2}{l|}{\begin{tabular}{l} East coast \\ states \end{tabular}} & \multicolumn{2}{l}{\begin{tabular}{l} West coast \\ states \end{tabular}} \\ \hline A & $6.70 \%$ & U & $7.75 \%$ \\ B & $6.75 \%$ & V & $1.92 \%$ \\ C & $7.00 \%$ & W & $0.00 \%$ \\ D & $0.00 \%$ & X & $8.86 \%$ \\ E & $9.99 \%$ & Y & $7.75 \%$ \\ F & $7.00 \%$ & Z & $6.62 \%$ \end{tabular} The median for the east coast states is 6.875 (Type an integer or decimal rounded to three decimal places as needed) The range for the east coast states is 9.99 (Type an integer or decimal rounded to three decimal places as needed.) The mean for the west coast states is 5.483 (Type an integer or decimal rounded to three decimal places as needed) The median for the west coast states is 7.185 . (Type an integer or decimal rounded to three decimal places as needed.) The range for the west coast states is $\square$ (Type an integer or decimal rounded to three decimal places as needed) ew an example Get more help . Clear all Check answer

Solution

Step 1 :The question is asking for the range of the sales tax rates for the west coast states. The range is calculated as the difference between the maximum and minimum values in a set of data. In this case, we need to find the maximum and minimum sales tax rates for the west coast states and subtract the minimum from the maximum to find the range.

Step 2 :First, we list the sales tax rates for the west coast states: 7.75%, 1.92%, 0.00%, 8.86%, 7.75%, 6.62%.

Step 3 :Next, we find the maximum and minimum sales tax rates. The maximum rate is 8.86% and the minimum rate is 0.00%.

Step 4 :Finally, we subtract the minimum rate from the maximum rate to find the range. The range for the west coast states is \(8.86 - 0.00 = 8.86\).

Step 5 :Final Answer: The range for the west coast states is \(\boxed{8.86}\).

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