Question 3.37: Number of Meteorites Found The number of meteorites found in......

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-by-Step
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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.

3.7

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