Chapter 2.1, Problem 8E

(a)

To determine

To describe: about the graph.

Answer to Problem 8E

It is observed that Maryland has about $13\%$ foreign-born residents.

Explanation of Solution

Given:

  

Calculation:

It is supposed to describe the highlighted point in the given percentile graph.

Procedure

Step1: Draw a horizontal line from the highlighted point on the vertical axis.

Step2: Draw a vertical line from this point to the horizontal axis.

Step3: The line intersects the vertical axis at approximately 70 and horizontal axisat approximately 13

The following graph shows the above procedure.

  

From the above graph, it is observed that Maryland has about $13\%$ foreign-born residents.

Conclusion:

Therefore, Maryland has about $13\%$ foreign-born residents.

(b)

To determine

To estimate: the ${30}^{\text{th}}$ percentile of the distribution.

Answer to Problem 8E

The ${30}^{\text{th }}$ percentile is approximately $4.5\%$ foreign-born residents in the 50 states.

Explanation of Solution

Given:

Calculation:

It is supposed to estimate the ${30}^{\text{th }}$ percentile of the distribution

Procedure

Step1: Draw a horizontal line from the value 30 on the vertical axis and determine the point onthe ogive where the line intersects the ogive

Step2: Draw a vertical line from this point to the horizontal axis

Step3: The line intersects the axis at approximately 4.5

The following graph shows the above procedure:

  

The ${30}^{\text{th }}$ percentile is approximately $4.5\%$ foreign-born residents in the 50 states.

Conclusion:

Therefore, the ${30}^{\text{th }}$ percentile is approximately $4.5\%$ foreign-born residents in the 50 states.