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Question Number 54513 by byaw last updated on 05/Feb/19
$$\mathrm{Calculate}\:\mathrm{the}\:\mathrm{interquartile}\:\mathrm{range}: \\ $$$$\mathrm{20},\mathrm{26},\mathrm{27},\mathrm{30},\mathrm{34},\mathrm{41},\mathrm{41},\mathrm{64},\mathrm{65},\mathrm{65},\mathrm{72},\mathrm{85} \\ $$
Answered by MJS last updated on 05/Feb/19
![min=20 q1=((27+30)/2)=28.5 median=((41+41)/2)=41 q3=((65+65)/2)=65 max=85 I′m not sure what the “interquartile range” is range 1 =[20; 28.5]=8.5 range 2=[28.5; 41]=12.5 range 3=[41; 65]=24 range 4=[65; 85]=20](Q54535.png)
$$\mathrm{min}=\mathrm{20} \\ $$$$\mathrm{q1}=\frac{\mathrm{27}+\mathrm{30}}{\mathrm{2}}=\mathrm{28}.\mathrm{5} \\ $$$$\mathrm{median}=\frac{\mathrm{41}+\mathrm{41}}{\mathrm{2}}=\mathrm{41} \\ $$$$\mathrm{q3}=\frac{\mathrm{65}+\mathrm{65}}{\mathrm{2}}=\mathrm{65} \\ $$$$\mathrm{max}=\mathrm{85} \\ $$$$\mathrm{I}'\mathrm{m}\:\mathrm{not}\:\mathrm{sure}\:\mathrm{what}\:\mathrm{the}\:``\mathrm{interquartile}\:\mathrm{range}''\:\mathrm{is} \\ $$$$\mathrm{range}\:\mathrm{1}\:=\left[\mathrm{20};\:\mathrm{28}.\mathrm{5}\right]=\mathrm{8}.\mathrm{5} \\ $$$$\mathrm{range}\:\mathrm{2}=\left[\mathrm{28}.\mathrm{5};\:\mathrm{41}\right]=\mathrm{12}.\mathrm{5} \\ $$$$\mathrm{range}\:\mathrm{3}=\left[\mathrm{41};\:\mathrm{65}\right]=\mathrm{24} \\ $$$$\mathrm{range}\:\mathrm{4}=\left[\mathrm{65};\:\mathrm{85}\right]=\mathrm{20} \\ $$