# Question 3.33: Traffic Violations Using the data in Example 3–30, find the ......

Traffic Violations

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

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

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

$\begin{array}{llllllllll}9 & 12 & 15 & 16 & 18 & 19 & 20 & 22 & 24 & 25\end{array}$

Step 2 Substitute in the formula.

$c=\frac{n \cdot p}{100} \qquad c=\frac{10 \cdot 30}{100}=3$

In this case, it is the 3 rd and 4 th values.

Step 3 Since c is a whole number, use the value halfway between the c and c + 1 values when counting up from the lowest. In this case, it is the third and fourth values.

$\begin{array}{llccllllll}9 & 12 & 15 & 16 & 18 & 19 & 20 & 22 & 24 & 25 \\ &&\uparrow &\uparrow \\ &&\text{3rd}&\text{4th}\\ &&\text{value}&\text{value}\end{array}$

The halfway value is between 15 and 16. It is 15.5. Hence, 15.5 corresponds to the 30th percentile.

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: 3.37

## 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. ...

Step 1 Find the five-number summary for the data. ...
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: 3.32

## 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