Math Problem Statement

whats the range of variation of

3 4 4 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 3 3 3 10 12 12 12 13 13 15 15 18

Solution

The range of a data set is calculated as the difference between the highest and lowest values in the set.

Given the data set: 3, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 3, 3, 3, 10, 12, 12, 12, 13, 13, 15, 15, 18

  • The smallest value is 3.
  • The largest value is 18.

Range

Range=Maximum valueMinimum value=183=15\text{Range} = \text{Maximum value} - \text{Minimum value} = 18 - 3 = 15

So, the range of this data set is 15.

Would you like a detailed explanation of how to interpret the range or have any other questions?

Related Questions:

  1. What is the interquartile range of this data set?
  2. How do you calculate the mean of the given numbers?
  3. What is the median value of this data set?
  4. How do outliers affect the range of a data set?
  5. What are other measures of dispersion besides the range?

Tip: The range is a simple measure of variation, but it can be affected significantly by extreme values or outliers.

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Math Problem Analysis

Mathematical Concepts

Statistics
Range
Measures of Variation

Formulas

Range = Maximum value - Minimum value

Theorems

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Suitable Grade Level

Grades 6-8