Math Problem Statement

Find the range for this list of numbers: 48, 31, 88, 3, 14, 71, 64, 56, 25, 96, 76, 52, 26, 35, 24, 18.

Solution

To find the range of a set of numbers, subtract the smallest number from the largest number.

The given list of numbers is:

48, 31, 88, 3, 14, 71, 64, 56,
25, 96, 76, 52, 26, 35, 24, 18.

  • The largest number is 96.
  • The smallest number is 3.

Now, calculate the range:

Range=963=93\text{Range} = 96 - 3 = 93

The range for this list of numbers is 93.

Would you like further details or clarification on this?

Here are 5 follow-up questions:

  1. What is the formula for calculating the range of a data set?
  2. Why is the range a useful measure in statistics?
  3. What other measures of dispersion can be used besides range?
  4. How does the range change if the smallest number in the list increases?
  5. How does adding more numbers to a list affect the range?

Tip: The range gives a simple idea of how spread out the numbers are but doesn't provide information on the distribution within the set. For that, you may use the interquartile range or standard deviation.

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Math Problem Analysis

Mathematical Concepts

Statistics
Range
Measures of Dispersion

Formulas

Range = Largest Number - Smallest Number

Theorems

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Suitable Grade Level

Grades 6-8