A significant number of people surveyed in the most recent census had migrated, that is, they had a different physical...

Owning the Dataset

Table 1: Text Analysis

Table 2: Chart Analysis

Key Insights

1. The migration rate peaks sharply at \(\mathrm{9.5\%}\) for people aged 20-24, much higher than any other age group.
2. The largest consecutive increase in migration rate is a jump of 5.6 percentage points between ages 15-19 and 20-24.
3. After age 30, the migration rate steadily declines, bottoming out at \(\mathrm{1.0\%}\) for people 85 and older.

Step-by-Step Solution

Question 1: Finding the Range of Migration Rates

Complete Statement:

Among the age groups along the horizontal axis of the graph, the range of the migration rates is, to the nearest half percent, ______.

Breaking Down the Statement

• Statement Breakdown 1:
  • Key Phrase: Among the age groups along the horizontal axis
  • Meaning: Consider all available age groups shown on the x-axis of the graph.
  • Relation to Chart: We look at migration rates from every age category on the horizontal axis.
  • Important Implications: We must identify the maximum and minimum rates from the entire data set.

• Statement Breakdown 2:
  • Key Phrase: the range of the migration rates
  • Meaning: Range means the difference between the highest and lowest migration rates.
  • Relation to Chart: Find where the line graph reaches its highest and lowest points.
  • Important Implications: A subtraction of lowest from highest values is needed.

• What is needed: The difference between the highest and lowest migration rates across all age groups, rounded to the nearest \(\mathrm{0.5\%}\).

Solution:

• Condensed Solution Implementation:
  Find the highest and lowest migration rates on the chart, subtract them, and round the result to the nearest \(\mathrm{0.5\%}\).
• Necessary Data points:
  The maximum rate on the graph is \(\mathrm{9.5\%}\) (age 20-24). The minimum is \(\mathrm{1.0\%}\) (age 85 and older).
  • Calculations Estimations:
    \(\mathrm{9.5\% - 1.0\% = 8.5\%}\)
  • Comparison to Answer Choices:
    \(\mathrm{8.5\%}\) is among the answer choices; it matches exactly.

FINAL ANSWER Blank 1: 8.5

Question 2: Finding the Greatest Difference Between Consecutive Age Groups

Complete Statement:

Between any two consecutive age groups along the horizontal axis, the greatest difference in migration rates is, to the nearest half percent, _____%.

Breaking Down the Statement

• Statement Breakdown 1:
  • Key Phrase: Between any two consecutive age groups
  • Meaning: Look at the change in migration rate between every pair of adjacent age groups.
  • Relation to Chart: Check the difference in migration rates for each neighboring pair of points on the x-axis.

• Statement Breakdown 2:
  • Key Phrase: the greatest difference in migration rates
  • Meaning: Find the largest difference between any two adjacent migration rates, whether increase or decrease.
  • Relation to Chart: Look for the steepest upward or downward step from one point to the next.

• What is needed: The largest difference in migration rates between any two consecutive age groups, rounded to the nearest \(\mathrm{0.5\%}\).

Solution:

• Condensed Solution Implementation:
  Identify all consecutive migration rate pairs, calculate their differences, and pick the largest one. Then round to the nearest \(\mathrm{0.5\%}\).
• Necessary Data points:
  The largest jump is from \(\mathrm{3.9\%}\) (age 15-19) to \(\mathrm{9.5\%}\) (age 20-24).
  • Calculations Estimations:
    \(\mathrm{9.5\% - 3.9\% = 5.6\%}\). Rounded to the nearest \(\mathrm{0.5\%}\) is \(\mathrm{6.0\%}\).
  • Comparison to Answer Choices:
    6 is an exact match among the provided options.

FINAL ANSWER Blank 2: 6

Summary

For question 1, by finding the highest (\(\mathrm{9.5\%}\)) and lowest (\(\mathrm{1.0\%}\)) migration rates, we calculated the range to be \(\mathrm{8.5\%}\). For question 2, the largest consecutive difference is \(\mathrm{5.6\%}\), which rounds to 6. Both answers were found by identifying values on the chart and comparing with answer options.

Question Independence Analysis

The two questions are independent. Question 1 asks about the overall range, while question 2 asks about the largest step between consecutive age groups. Solving one does not require knowing the answer to the other.