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ws the lengths of the 12 trailers sold at a store last month. Trailers Sold + 6 7 8 9 10 11 12 13 14 15 16 17 Length (feet) hent about the data is true? R is 7. and the range is 17. QR is 7, and the range is 11. QR is 2.75. and the range is 17. QR is 2.75, and the range is 11.

Sagot :

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]

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