Math Problem Statement

The range of a set of numbers is 7. The maximum value is 3. What is the minimum value?

Solution

The range of a set of numbers is calculated as:

Range=Maximum ValueMinimum Value\text{Range} = \text{Maximum Value} - \text{Minimum Value}

Given:

  • Range = 7
  • Maximum Value = 3

Let the Minimum Value be xx. Using the formula:

7=3x7 = 3 - x

Solving for xx:

x=37x = 3 - 7

x=4x = -4

Final Answer:

The minimum value is -4.

Would you like a more detailed explanation or have any questions?

Related Questions:

  1. How is the concept of range applied in real-world data analysis?
  2. If the minimum value was known, how would you find the maximum value?
  3. What happens to the range if all numbers in the set are increased by 5?
  4. How does the range compare to other measures of spread like variance?
  5. Can two different sets of numbers have the same range but different distributions?

Tip: Always double-check the relationship between the range, maximum, and minimum values to avoid calculation errors!

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Math Problem Analysis

Mathematical Concepts

Algebra
Range in Statistics

Formulas

Range = Maximum Value - Minimum Value

Theorems

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Suitable Grade Level

Grades 6-8