Question

Which box plot represe nts the data sei {1,3,5,7,9,11)? -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 © 2018 Songlind Created using Geogebra -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 2018 Song Crested using GeoGebra 1 2 3 4 5 6 7 8 9 10 11 © 2018 Songs Created using GeoGebra -1 0 1 2 3 4 5 6 7 8 9 10 11 12-13 2018 StrongMind Created using GeoGebra

Answer 1

The graphs represents the box plot of the data, then it divides the data in fourths.

Since we have 6 data, the median must be the average

$\frac{5+7}{2}=6$

Since the only option where the median is in the number 6 is the third one then that is the correct answer.

But we can analyse more about the data, since

$\begin{gathered} \frac{1}{6}\cong0.167 \\ \frac{2}{6}\cong0.33>0.25 \end{gathered}$

Then, the firs quartile must be at the second number, that is, the number 3, and the third quartile at the fifth number, that is, 9.