A certain developer offers both paid and free versions of a certain mobile tablet application on four different tablet models....

Owning the Dataset

Table 1: Text Analysis

Table 2: Chart Analysis

Key Insights

Model D has the smallest difference between paid (11%) and free (9%) app usage (only 2 percentage points). In contrast, Model C shows the largest difference, with only 5% on paid but 51% on free (a 46 point difference). The bar chart makes these contrasts visually obvious. Paid adoption dominates on Model B, while Model C's users overwhelmingly choose the free version. These trends are clear both numerically and visually, making it easy to see which models have similar versus sharply different rates for each app version.

Step-by-Step Solution

Question 1: Finding the Model with the Least Difference between Paid and Free Versions

Complete Statement:

Among Models A–D, the model with the least difference between the percent of tablets that have the paid version of the application and the percent of tablets that have the free version was Model ______.

Breaking Down the Statement

• Statement Breakdown 1:
  • Key Phrase: least difference
  • Meaning: We are looking for the smallest gap between two numbers.
  • Relation to Chart: We must compare the paid vs. free percentages for each model and find the pair with the closest values.
  • Important Implications: It's not about the absolute values, but about how close the two values are to each other for each model.

• Statement Breakdown 2:
  • Key Phrase: percent of tablets that have the paid version... and the percent of tablets that have the free version
  • Meaning: These are the two bars we need to compare for each model.
  • Relation to Chart: For each model (A-D), compare the heights of the 'paid' and 'free' bars.
  • Important Implications: We compare only within each model, not across different models.

• What is needed: Which model (A, B, C, or D) has paid and free percentages that are closest together.

Solution:

• Condensed Solution Implementation:
  Look at each model's bars and visually judge which pair is closest together.
• Necessary Data points:
  Model A: paid 25%, free 8%; Model B: paid 61%, free 39%; Model C: paid 5%, free 51%; Model D: paid 11%, free 9%.
• Calculations Estimations:
  Calculate or estimate the differences: A: 17%, B: 22%, C: 46%, D: 2%.
• Comparison to Answer Choices:
  Model D has the smallest difference (2%). All others have larger differences.

FINAL ANSWER Blank 1: D

Question 2: Finding the Model with the Greatest Difference between Paid and Free Versions

Complete Statement:

Among Models A–D, the model with the greatest difference between the percent of tablets that have the paid version of the application and the percent of tablets that have the free version was Model ______.

Breaking Down the Statement

• Statement Breakdown 1:
  • Key Phrase: greatest difference
  • Meaning: We are looking for the biggest gap between two numbers.
  • Relation to Chart: We must compare the paid vs. free percentages for each model and find the pair with the largest difference.

• Statement Breakdown 2:
  • Key Phrase: percent of tablets that have the paid version... and the percent of tablets that have the free version
  • Meaning: Again, these are the two bars for each model we are comparing.
  • Relation to Chart: For each model (A-D), find out where the bars are the furthest apart.

• What is needed: Which model (A, B, C, or D) has the largest difference between its paid and free percentages.

Solution:

• Condensed Solution Implementation:
  Check each model's bars and see which pair has the most noticeable gap.
• Necessary Data points:
  Model A: difference 17%, Model B: difference 22%, Model C: difference 46%, Model D: difference 2%.
• Calculations Estimations:
  Calculate the size of the gap for each: C's gap (46%) is clearly the largest.
• Comparison to Answer Choices:
  Model C has the largest difference by far, compared to the other models.

FINAL ANSWER Blank 2: C

Summary

By visually comparing the paid and free values on the chart for each model, Model D has the smallest difference and Model C has the largest. No complex calculations are needed; estimation by inspection is sufficient.

Question Independence Analysis

Each question asks about a different extreme (least and greatest difference), and can be answered separately. The answers are independent of each other.