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 ,
- The largest value is .
Thus, the range of the data set is 16.
Would you like more details on this? Here are five related questions to explore further:
- What is the mean (average) of this data set?
- How would you calculate the median for this data set?
- What is the mode, and is there one in this data set?
- How do you interpret the range in relation to data variability?
- 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