Math Problem Statement

A data set has the following values: 5, 7, 8, 12, 14, 18, 21. What is the range of this data set?

Solution

The range of a data set is calculated by subtracting the smallest value from the largest value.

In this data set:

  • The smallest value is 55,
  • The largest value is 2121.

Range=215=16\text{Range} = 21 - 5 = 16

Thus, the range of the data set is 16.

Would you like more details on this? Here are five related questions to explore further:

  1. What is the mean (average) of this data set?
  2. How would you calculate the median for this data set?
  3. What is the mode, and is there one in this data set?
  4. How do you interpret the range in relation to data variability?
  5. How does the range compare to other measures of spread like standard deviation?

Tip: The range gives you a quick sense of how spread out the data is but doesn’t provide details about the distribution.

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Math Problem Analysis

Mathematical Concepts

Statistics
Range

Formulas

Range = Largest value - Smallest value

Theorems

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Suitable Grade Level

Grades 4-6