Suppose you are given the following sample of STA$1506$ students.

Spreadsheet $2$: Sample of STA$1506$ student performance.

$($a$)$ Which graphical display would you use to display the variables Gender and Race of the entire sample? Explain why you would use this graphical display.

$($b$)$ Display variable Gender using the answer in question $2($a$).$ Use the appropriate labels on the graph.

$($c$)$ Suppose you are told that there was an omission of three students in the sample. The data editor asks you to add Percy Chukwu, an African female who obtained $50\%.$ The entry is to be added between Pertunia and Allowance in the database. Add the information as instructed by the editor to the sample and explain how you added Percy Chukwu who currently resides in Madagascar but Percy is Nigerian by nationality.

$($d$)$ Now add Excellent Naidoo. Excellent is a Male, who obtained $81\%$ and he is Indian by race. Add Candice Mooiloop, a Female, who obtained $66\%$ from a coloured race, as student number $8.$ Display the updated STA$1506$ sample following the instructions given in questions $2($c$)$ to $($d$)$ by highlighting the new information.

$($e$)$ Sort the sample by surname in ascending order and explain or write down each step on how you sorted the sample in ascending order. Clearly show the display of the current sample spreadsheet after sampling.

$($f$)$ After communicating with the assignment department, the editor was updated about the corrupt files of Petunia van der Merve $($whom the name was spelled incorrectly as Pertunia$)$ and Feng $Hu($whom her identity was incorrectly placed as $Hu$ instead of Feng $Hu$ with race Other. The assignment department also updated that these students each obtained $38\%$ and $71\%$ in general. Another update says that Grace Baloyi is black in race. Furthermore, display the final sample of the STA$1506$ students after updating the given information arranged in ascending order by variable Surname. Moreover, use a pie chart to display the information related to variable Race. Lastly, between a bar chart and a pie chart, which one looks more appropriate to display variable Race information? Motivate your answer.

$($g$)$ Name the procedure used to solve problems posted in questions $($c$)$ to $($f$)$ under the instruction of the editor.

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