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
The 'Blue Check Mark' means that this solution was answered by an expert.

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.

Question: 3.19

Comparison of Outdoor Paint Find the variance and standard deviation for brand B paint data in Example 3–15. The months brand B lasted before fading were 35, 45, 30, 35, 40, 25 ...

Step 1 Find the mean. \mu = \frac{ΣX}{N} = ...
Question: 3.38

Speeds of Roller Coasters The data shown are the speeds in miles per hour of a sample of wooden roller coasters and a sample of steel roller coasters. Compare the distributions by using boxplots. ...

Step 1 For the wooden coasters, \begin{alig...
Question: 3.36

Outliers Check the following data set for outliers. 5, 6,12, 13, 15, 18, 22, 50 ...

The data value 50 is extremely suspect. These are ...
Question: 3.35

Traffic Violations Find the interquartile range of the data set in Example 3–30. ...

Find $Q_1$ and $Q_3$. Th...
Question: 3.34

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

Step 1 Arrange the data in order from lowest to hi...
Question: 3.33

Traffic Violations Using the data in Example 3–30, find the data value corresponding to the 30th percentile. ...

Step 1 Arrange the data in order from lowest to hi...
Question: 3.32

Traffic Violations Using the data in Example 3–30, find the value corresponding to the 65th percentile. ...

Step 1 Arrange the data in order from lowest to hi...
Question: 3.31

Traffic Violations Using the data in Example 3–30, find the percentile rank of 24. ...

There are 8 values below 24; thus, Percentile = [l...
Question: 3.30

Traffic Violations The number of traffic violations recorded by a police department for a 10-day period is shown. Find the percentile rank of 16. 22 19 25 24 18 15 9 12 16 20 ...

Arrange the data in order from lowest to highest. ...
Question: 3.29