Beskou die onderstaande punte wat vir 'n STTN111 tweede eksamengeleentheid behaal is. Bereken die derde data. Consider the marks obtained for an STTN111 second exam opportunity below. Calculate the third quartile of the da \[ \begin{array}{llllllllllllllllllll}30 & 32 & 33 & 34 & 37 & 39 & 39 & 44 & 48 & 51 & 51 & 52 & 52 & 52 & 53 & 55 & 57 & 59 & 97 & 99\end{array} \]
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Om die derde kwartiel (Q3) van die gegewe data te bereken, volg ons die stappe van sortering en kwartielberekening. Die data is reeds gesorteer: \[ 30, 32, 33, 34, 37, 39, 39, 44, 48, 51, 51, 52, 52, 52, 53, 55, 57, 59, 97, 99 \] Daar is 20 waarnemings in totaal. Q3 kan bereken word deur die posisie van die derde kwartiel te vind. Hierdie posisie is: \[ Q3 = \frac{3(n + 1)}{4} = \frac{3(20 + 1)}{4} = \frac{63}{4} = 15.75 \] Die posisie van Q3 is dus tussen die 15de en 16de waarneming. Die 15de en 16de waardes in die gesorteerde lys is 53 en 55. Bereken Q3: \[ Q3 = \frac{53 + 55}{2} = 54 \] Die derde kwartiel (Q3) is dus 54.