75th percentile (quartille Q3)

Find 75th percentile for 30,42,42,46,46,46,50,50,54

Correct answer:

p =  50

Step-by-step explanation:

$$\begin{gathered} n=9 \\ sorted:30,42,42,46,46,46,50,50,54 \\ i=1+n\cdot {\displaystyle \frac{75}{100}}=1+9\cdot {\displaystyle \frac{75}{100}}={\displaystyle \frac{31}{4}}=7\frac{3}{4}=7.75 \\ {i}_1=\lfloor i\rfloor =\lfloor 7.75\rfloor =7 \\ {i}_2=\lceil i\rceil =\lceil 7.75\rceil =8 \\ p=(50+50)\mathrm{/}2=50 \end{gathered}$$

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Showing 1 comment:

Dr Math

checkout our quartile calculator - Q3 = percentile 75:

https://www.hackmath.net/en/calculator/quartile-q1-q3

3 years ago  Like

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