The graph shows the percentage of vehicles that have failed routine inspections in a certain region in the past year,...

Owning The Dataset

Table 1: Text Analysis

Table 2: Chart Analysis

Key Insights

1. The highest inspection failure rate (65%) occurs with vehicles aged 20–25 years, highlighting a critical problematic age bracket.
2. Faulty lights account for up to 30% of failures in 15–20 year-old vehicles, indicating this issue peaks slightly earlier than total failures.
3. Total failure rates drop after 25 years (from 65% to 51% at 25–30 years, then 45% for 30+), suggesting only the most reliably maintained older vehicles remain.

Step-by-Step Solution

Question 1: Highest Inspection Failure Rate

Complete Statement:

The inspection failure rate was highest for vehicles that were [BLANK 1] years old.

Breaking Down the Statement

• Statement Breakdown 1:
  • Key Phrase: inspection failure rate
    • Meaning: The percentage of vehicles in each age group that failed their routine inspection.
    • Relation to Chart: This is shown by the total height of each bar (stacked segments) in the bar chart.
    • Important Implications: We must compare the height (total failure proportion) of each bar, not just one segment.
• Statement Breakdown 2:
  • Key Phrase: was highest
    • Meaning: We're looking for the maximum value among all age groups.
    • Relation to Chart: Find the single tallest bar on the chart.
    • Important Implications: Whichever bar is tallest corresponds to the age group with the highest failure rate.

What is needed: The vehicle age group with the highest inspection failure rate (tallest bar on the chart).

Solution:

• Condensed Solution Implementation:
  Scan the chart for the bar with the greatest total height. Verify its age label on the x-axis.
• Necessary Data points:
  Total failure rates by age: 0-5: 27%, 5-10: 41%, 10-15: 59%, 15-20: 61%, 20-25: 65%, 25-30: 51%, 30+: 45%.
  • Calculations Estimations:
    Compare the total percentages and determine that 65% (20-25 years) is the maximum.
  • Comparison to Answer Choices:
    The answer choices include 20-25 years. 20-25 years is the correct answer.

FINAL ANSWER Blank 1: 20-25

Question 2: Faulty Lights Percentage in Highest-Failure Age Group

Complete Statement:

Approximately [BLANK 2] percent of vehicles of that age failed inspection due to faulty lights.

Breaking Down the Statement

• Statement Breakdown 1:
  • Key Phrase: vehicles of that age
    • Meaning: Specifically, vehicles aged 20-25 years (as determined from Blank 1).
    • Relation to Chart: Focus on the 20-25 years bar of the chart.
• Statement Breakdown 2:
  • Key Phrase: failed inspection due to faulty lights
    • Meaning: Only count vehicles in the 20-25 years group whose reason for failure was 'faulty lights'.
    • Relation to Chart: This is shown by the specific segment (e.g., color-coded) representing 'faulty lights' in the bar for 20-25 years.

What is needed: The percentage representing faulty lights for failed 20-25-year-old vehicles.

Solution:

• Condensed Solution Implementation:
  Read the 'faulty lights' segment for the 20-25 years bar. Compare with answer choices.
• Necessary Data points:
  For 20-25 years: Faulty lights segment = 25%.
  • Calculations Estimations:
    The data for 20-25 years shows 25% failed due to faulty lights; no further calculation needed.
  • Comparison to Answer Choices:
    25% is directly one of the available answer choices and matches the chart.

FINAL ANSWER Blank 2: 25

Summary

The vehicle age group with the highest inspection failure rate is 20-25 years (65% failure rate). Of those, 25% failed due to faulty lights. The problem requires reading the total failure rate and, for that same group, the breakdown of failure reasons.

Question Independence Analysis

The questions are dependent; answering the second blank requires correctly identifying the age group from the first blank, as the second blank specifically refers to vehicles of that age.