Find the range.
$\begin{array}{lllll}
4.7 & 6.3 & 5.4 & 3.2 & 4.9
\end{array}$
Answer (1)
Identify the maximum value: 9.5.
Identify the minimum value: -3.1.
Calculate the range by subtracting the minimum from the maximum: 9.5 − ( − 3.1 ) = 12.6 .
The range of the given numbers is 12.6 .
Explanation
Understanding the Range We are given a set of numbers and asked to find the range. The range is the difference between the largest and smallest values in the set. First, we need to identify the largest and smallest numbers in the given set.
Identifying Max and Min Values The given numbers are 4.7, 6.3, 5.4, 3.2, 4.9, 9.5, 3.1, and -3.1. By inspecting these numbers, we can identify the maximum and minimum values.
Determining Maximum and Minimum The largest number in the set is 9.5. The smallest number in the set is -3.1.
Calculating the Range To find the range, we subtract the smallest number from the largest number: Range = Maximum − Minimum = 9.5 − ( − 3.1 ) .
Final Calculation and Answer Calculating the range: 9.5 − ( − 3.1 ) = 9.5 + 3.1 = 12.6 . Therefore, the range of the given set of numbers is 12.6.
Examples
Understanding the range is useful in many real-world scenarios. For example, in finance, the range of stock prices over a certain period can indicate the volatility of the stock. In weather forecasting, the range of temperatures can help people prepare for extreme conditions. In quality control, the range of measurements of a product can help identify inconsistencies and ensure that the product meets the required standards.
