The ogive represents the heights of males in a particular country in the 20-29 age group. What eight represents the 60th percentile? How should you interpret this? Percentile 100- 80- 60- 8 8 40- 20- 0- 63 65 he 60th percentile represents about inches. Round to nearest whole number as needed.) terpret this percentile. Choose the correct answer below. 67 69 71 73 75 Height (in inches) N OA. This means that about 60 percent of males in this country ages 20-29 are shorter than this height. B. This means that about 40 percent of males in this country ages 20-29 are shorter than this height. OC. This means that about 60 percent of males in this country ages 20-29 are taller than this height. OD. This means that about 60 percent of males in this country ages 20-29 are exactly this height.

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### Understanding Percentiles Through an Ogive Graph

#### Problem Statement
The ogive represents the heights of males in a particular country in the 20-29 age group. What height represents the 60th percentile? How should you interpret this?

#### Graph Description
In the upper section, we have an ogive graph illustrating the cumulative distribution of heights for males aged 20-29. The X-axis represents the height (in inches), ranging from 63 to 75 inches. The Y-axis represents the percentile, ranging from 0 to 100. The data points on the graph are depicted in blue, and they form an upward-sloping curve. A specific point on the graph is relevant for determining the 60th percentile.

#### Calculation and Interpretation
The focus here is to determine the height that corresponds to the 60th percentile.

- **Height Calculation:**
  The 60th percentile represents about **70 inches**.
  (Round to the nearest whole number as needed.)

- **Interpretation of the Percentile:**
  
  **Choose the correct answer below:**
  - **A.** This means that about 60 percent of males in this country ages 20-29 are shorter than this height.
    - **Correct Answer:** This statement is correct as it accurately describes the percentile.
  - **B.** This means that about 40 percent of males in this country ages 20-29 are shorter than this height.
    - Incorrect interpretation. The 60th percentile means that 60 percent are shorter.
  - **C.** This means that about 60 percent of males in this country ages 20-29 are taller than this height.
    - Incorrect interpretation. The 60th percentile means those below, not above.
  - **D.** This means that about 60 percent of males in this country ages 20-29 are exactly this height.
    - Incorrect interpretation. The 60th percentile represents those shorter than or up to this height, not exactly.

#### Conclusion
In summary, the 60th percentile in this context means that approximately 60 percent of males aged 20-29 in the specified country are shorter than 70 inches. This insight can be valuable for understanding and comparing height data within this population group.
Transcribed Image Text:### Understanding Percentiles Through an Ogive Graph #### Problem Statement The ogive represents the heights of males in a particular country in the 20-29 age group. What height represents the 60th percentile? How should you interpret this? #### Graph Description In the upper section, we have an ogive graph illustrating the cumulative distribution of heights for males aged 20-29. The X-axis represents the height (in inches), ranging from 63 to 75 inches. The Y-axis represents the percentile, ranging from 0 to 100. The data points on the graph are depicted in blue, and they form an upward-sloping curve. A specific point on the graph is relevant for determining the 60th percentile. #### Calculation and Interpretation The focus here is to determine the height that corresponds to the 60th percentile. - **Height Calculation:** The 60th percentile represents about **70 inches**. (Round to the nearest whole number as needed.) - **Interpretation of the Percentile:** **Choose the correct answer below:** - **A.** This means that about 60 percent of males in this country ages 20-29 are shorter than this height. - **Correct Answer:** This statement is correct as it accurately describes the percentile. - **B.** This means that about 40 percent of males in this country ages 20-29 are shorter than this height. - Incorrect interpretation. The 60th percentile means that 60 percent are shorter. - **C.** This means that about 60 percent of males in this country ages 20-29 are taller than this height. - Incorrect interpretation. The 60th percentile means those below, not above. - **D.** This means that about 60 percent of males in this country ages 20-29 are exactly this height. - Incorrect interpretation. The 60th percentile represents those shorter than or up to this height, not exactly. #### Conclusion In summary, the 60th percentile in this context means that approximately 60 percent of males aged 20-29 in the specified country are shorter than 70 inches. This insight can be valuable for understanding and comparing height data within this population group.
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