Answer :
ANSWER:
The IQR is 7, and the range is 11
STEP-BY-STEP EXPLANATION:
The first thing is to identify the extremes of the picture, which is the minimum value and the maximum value
[tex]\begin{gathered} V_{\min }=6 \\ V_{\max }=17 \end{gathered}[/tex]We calculate the median of the data, which is the number of the half:
[tex]m=\frac{11+12}{2}=11.5[/tex]We calculate the median of Q1 (6 - 11.5) and the median of Q3 (11.5 - 17)
[tex]\begin{gathered} m_{Q1}=8 \\ m_{Q2}=15 \end{gathered}[/tex]The IQR is the difference between Q3 and Q1 medians, therefore
[tex]\begin{gathered} \text{IQR}=m_{Q3}-m_{Q1}=15-8 \\ \text{IQR = 7} \end{gathered}[/tex]The range is the difference between the minimum and maximum value, therefore
[tex]R=V_{\max }-V_{\min }=17-6=11[/tex]