Math Problem Statement

What is the range of the numbers below?

Solution

To calculate the range of the numbers displayed in the image:

Step 1: Identify the smallest and largest numbers.

  • The smallest number is 7.3-7.3.
  • The largest number is 7.27.2.

Step 2: Calculate the range.

The range is the difference between the largest and smallest numbers: Range=Largest numberSmallest number\text{Range} = \text{Largest number} - \text{Smallest number} Range=7.2(7.3)=7.2+7.3=14.5\text{Range} = 7.2 - (-7.3) = 7.2 + 7.3 = 14.5

Final Answer:

The range of the numbers is 14.5.

Do you want additional details or explanations? Here are 5 related questions to deepen understanding:

  1. What is the importance of the range in a dataset?
  2. How do negative numbers affect the calculation of the range?
  3. Can the range ever be negative? Why or why not?
  4. How is the range different from other measures of spread like variance or standard deviation?
  5. Can you find the midpoint of the smallest and largest numbers in this dataset?

Tip: Always double-check the signs (positive or negative) of numbers when calculating a range to avoid common errors.

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Math Problem Analysis

Mathematical Concepts

Range
Basic Arithmetic
Positive and Negative Numbers

Formulas

Range = Largest Number - Smallest Number

Theorems

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Suitable Grade Level

Grades 5-7