Microsoft is planning to introduce a new soft drink $($tantatively named Microsoft$)$ of its own. It hired a agency to evaluate how consumers would react to the taste of Microsoft. The research agency has conducted a blind test in which the consumers compared the taste of Coca Cola and Microsoft $($names disguised$).$ The respondents evaluated the taste of the two drinks with the following $5$ point scale: Please indicate your degree of liking for each of the soft drinks on the following list by checking the appropriate position on the scale.

$\backslash$table$[[,$Dislike a lot,Dislike,$\backslash$table$[[$Neither dislike$],[$nor like$]],$Like,Like A lot$],[$Drink A$,-,-,-,-,-],[$Drink B$,-,,-,-,-]]$

For analysis purpose, the research agenc coded "dislike a lot" as $-2,$ "like a lot" as $+2$ and the others $-1,0,1$ correspondingly.They calculated the average person for A$($coca cola$)$ and B$($Microsoft$),$and obtained $1\mathrm{.}2$ and $1\mathrm{.}8$ respectively. Because $1\mathrm{.}8$ is $50\%$ more than $1\mathrm{.}2,$ they conclude that respondents preferred Microsoft $50\%$ more over Coca Cola.

a$)$ Evaluate the above approach $($in terms of scale and data analysis$)$

b$)$ Suggest a scale that can appropriately result in a claim like $"...$ preferred X$\%$ more $..."?$