Understanding the Grouping of Numbers
To determine the best suitable grouping for the numbers 1, 5, 8, 2, 3, and 4, we need to analyze the options provided.
Analyzing the Options
- Option a: (1, 2, 3) and (5, 4, 8)
- Group 1: {1, 2, 3} → Contains lower numbers.
- Group 2: {5, 4, 8} → Contains one higher number (8) and two mid-range numbers (5, 4).
- Option b: (1, 5, 8) and (2, 4, 3)
- Group 1: {1, 5, 8} → Mixed group with low and high values.
- Group 2: {2, 4, 3} → Slightly balanced but lacks a clear distinction.
- Option c: (1, 3, 5) and (2, 4, 8)
- Group 1: {1, 3, 5} → Low to mid-range numbers.
- Group 2: {2, 4, 8} → A mix of lower and higher values with a clear separation.
- Option d: (2, 1, 4) and (5, 3, 8)
- Group 1: {2, 1, 4} → Contains low values.
- Group 2: {5, 3, 8} → More high-end numbers.
Why Option C is the Best
- Balanced Distribution:
- Option c has a clear distinction between low/mid-range numbers and a mix of low/high numbers.
- Range Representation:
- The first group represents lower values effectively, while the second group shows a good spread of higher values.
- Logical Grouping:
- It groups numbers in a way that reflects their relative sizes, maintaining a useful balance.
In conclusion, option c is the best choice as it offers a logical and balanced grouping of the numbers provided.