Question

the ogive represents the heights of males in a particular country in the 20-29 age group. what height represents the \\(70^{\text{th}}\\) percentile? how should you interpret this?

the \\(70^{\text{th}}\\) percentile represents about inches.
(round to nearest whole number as needed.)

Explanation:

Locate the percentile on the vertical axis

Using the Ogive Construction knowledge point
The vertical axis represents the percentile from \(0\) to \(100\). We locate the value \(70\) on this vertical axis.

Trace horizontally to the ogive curve

Using the Percentiles and Quantiles knowledge point

$$ y = 70 $$

Tracing horizontally from \(70\) on the vertical axis to the right, we intersect the plotted ogive curve at a specific point.

Find the corresponding height on the horizontal axis

Using the Percentiles and Quantiles knowledge point

$$ x \approx 71 $$

From the intersection point on the curve, we look directly down to the horizontal axis (representing height in inches). The point lies on the vertical grid line corresponding to \(71\) inches.

Answer:

The \(70^{\text{th}}\) percentile represents about <blank>71</blank> inches.
(Round to nearest whole number as needed.)