Traffic Violations Using the data in Exercise 3–30, find Q1, Q2, and Q3.

Question

Traffic Violations

Using the data in Exercise 3-30, find [latex]Q_1, Q_2[/latex], and [latex]Q_3[/latex].

Accepted Answer

Step 1 Arrange the data in order from lowest to highest.

[latex]\begin{gathered}9 &12 &15 &16 &18 &19 &20 &22 &24 &25 \end{gathered}[/latex]

Step 2 Find the median [latex]Q_2[/latex].

[latex]\begin{gathered}\begin{gathered}9 &12 &15 &16 &18 &19 &20 &22 &24 &25 \&&&&&\uparrow \end{gathered}\ \quad \mathrm{MD}=\frac{18+19}{2}=18.5\end{gathered}[/latex]

Step 3 Find the median of the data values below 18.5.

[latex]\begin{gathered}9 \quad 12 \quad 15 \quad 16\quad 18 \ \uparrow \ Q_1=15 \end{gathered} [/latex]

Step 4 Find the median of the data values greater than 18.5.

[latex] \begin{gathered} 19 \quad 20 \quad 22 \quad 24 \quad 25\ \uparrow \ Q_3=22 \end{gathered} [/latex]

Hence, [latex]Q_1=15, Q_2=18.5[/latex], and [latex]Q_3=22[/latex].

Chapter 3

Q. 3.34

Q. 3.34

Step-by-Step

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