Math Problem Statement

The range of a set of numbers is 6. The maximum value is 4. What is the minimum value?

Solution

The problem states:

  • The range of a set of numbers is 6.
  • The maximum value is 4.

The range of a set of numbers is calculated as the difference between the maximum and minimum values:

Range=MaximumMinimum\text{Range} = \text{Maximum} - \text{Minimum}

Given that the range is 6 and the maximum is 4, we can set up the equation:

6=4Minimum6 = 4 - \text{Minimum}

To solve for the minimum value:

Minimum=46=2\text{Minimum} = 4 - 6 = -2

So, the minimum value is -2.

Would you like more details on this or have any further questions?

Here are five related questions:

  1. How is the range of a dataset useful in statistics?
  2. Can the range ever be negative?
  3. If the minimum value were known, how would you find the maximum value?
  4. What other measures of spread can be used besides range?
  5. How does the range change if the maximum value increases by 3?

Tip: The range is sensitive to outliers, which can significantly affect its value. Consider using other measures like the interquartile range (IQR) for more robust analysis.

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Math Problem Analysis

Mathematical Concepts

Algebra
Range Calculation

Formulas

Range = Maximum - Minimum

Theorems

Range Calculation Theorem

Suitable Grade Level

Grades 6-8