Number of Meteorites Found
The number of meteorites found in 10 states of the United States is 89, 47, 164, 296, 30, 215, 138, 78, 48, 39. Construct a boxplot for the data.
Source: Natural History Museum.
Step 1 Find the five-number summary for the data.
Arrange the data in order:
30,39,47,48,78,89,138,164,215,296
Find the median.
\begin{gathered}30,39,47,48,78,89,138,164,215,296 \\\begin{array}{c}\uparrow \\\text { Median }\end{array} \\\text { Median }=\frac{78+89}{2}=83.5\end{gathered}
Find Q_1.
\begin{array}{c}30,39,47,48,78 \\ \stackrel{\uparrow} {Q_1} \end{array}
Find Q_3.
\begin{gathered} 89,138,164,215,296 \\ \uparrow \\ Q_3 \end{gathered}
The minimum data value is 30 , and the maximum data value is 296 .
Step 2 Draw a horizontal axis and the scale.
Step 3 Draw the box above the scale using Q_1 and Q_3.
Draw a vertical line through the median, and draw lines from the lowest data value to the box and from the highest data value to the box. See Figure 3–7.