In Country X, a building is in Category A if it has a roof height of at least 350 meters....

Owning the Dataset

Table 1: Text Analysis

Table 2: Chart Analysis

Key Insights

1. The building with the greatest mean height per floor (\(\sim 6.8 \text{ m}\)) has a roof height between \(350\text{–}370 \text{ meters}\).
2. There is a negative correlation between the number of floors and the mean height per floor in Category A buildings: more floors, lower average floor height.
3. Taller Category A buildings tend to achieve height by increasing floor count while the average floor height decreases.

Step-by-Step Solution

Question 1: Finding the Roof Height Range for the Building with the Greatest Mean Height per Floor

Complete Statement:

The building with the greatest mean height per floor has a roof height between [BLANK] meters.

Breaking Down the Statement

• Statement Breakdown 1:
  • Key Phrase: greatest mean height per floor
  • Meaning: We're searching for the building that has the highest average height for each floor.
  • Relation to Chart: This value is represented by the highest black square on the chart (mean height per floor on the right y-axis).
  • Important Implications: The building with the greatest mean height per floor may not be the tallest overall building.

• Statement Breakdown 2:
  • Key Phrase: roof height between [BLANK] meters
  • Meaning: We need the x-axis range (roof height) in which this building falls.
  • Relation to Chart: Find the highest black square's horizontal location to match with the given x-axis ranges.
  • Important Implications: The answer must be chosen from one of the given ranges, like \(350\text{–}370 \text{ meters}\).

• What is needed: The range of roof height (on the x-axis) where the highest black square (mean height per floor) is located.

Solution:

• Condensed Solution Implementation:
  Locate the highest black square on the graph and match its x-axis position to the set of provided ranges.
• Necessary Data points:
  Visual position of black squares on the chart, especially the one at the highest mean height per floor (y-axis right side).
• Calculations Estimations:
  No calculation needed; just visual identification. The black square at the far left (the \(350\text{–}370 \text{ meters}\) range) is the highest.
• Comparison to Answer Choices:
  Compared with the options, the correct roof height range is \(350\text{–}370 \text{ meters}\).

FINAL ANSWER Blank 1: 350 and 370

Question 2: Determining the Correlation Between Number of Floors and Mean Height per Floor

Complete Statement:

There is a [BLANK] correlation between the number of floors and the mean height per floor.

Breaking Down the Statement

• Statement Breakdown 1:
  • Key Phrase: correlation between the number of floors and the mean height per floor
  • Meaning: We must decide what kind of relationship (if any) the two variables have.
  • Relation to Chart: Red circles (number of floors, left y-axis) versus black squares (mean height per floor, right y-axis) as roof height increases.

• Statement Breakdown 2:
  • Key Phrase: [BLANK] correlation
  • Meaning: The type of connection: positive, negative, or negligible.
  • Relation to Chart: Watch if high points on one measure are associated with high or low points on the other.

• What is needed: Whether the correlation is strong positive, negligible, or strong negative.

Solution:

• Condensed Solution Implementation:
  Observe the overall trends: do buildings with more floors tend to have higher or lower mean floor heights?
• Necessary Data points:
  As roof height increases, red circles show more floors; black squares (mean height per floor) drop lower.
• Calculations Estimations:
  As one measure rises, the other falls: this is a strong negative correlation.
• Comparison to Answer Choices:
  The downward trend in one variable as the other increases matches 'Strong Negative' correlation.

FINAL ANSWER Blank 2: Strong Negative

Summary

For question 1, visually identify which building (black square) is highest on the mean height per floor axis, which falls in the \(350\text{–}370 \text{ m}\) roof height range. For question 2, the chart demonstrates a strong negative correlation between number of floors and mean height per floor: as one increases, the other decreases.

Question Independence Analysis

The questions are independent. Question 1 asks for the location of a specific data point, while Question 2 asks about the overall relationship between two variables; answering one doesn't affect answering the other.