What is the range of the following set of data values?
17.1, 14.8, 12.2, 19.1, 19.4, 18.1, 20.6, 12.4, 8.3.
Answer (2)
Identify the maximum value: 20.6.
Identify the minimum value: 8.3.
Calculate the range by subtracting the minimum from the maximum: 20.6 − 8.3 = 12.3 .
The range of the data set is 12.3 .
Explanation
Understanding the Problem We are given a set of data values and asked to find the range. The range is the difference between the maximum and minimum values in the set.
Finding the Maximum Value First, we need to identify the maximum value in the data set: 17.1, 14.8, 12.2, 19.1, 19.4, 18.1, 20.6, 12.4, 8.3. The maximum value is 20.6.
Finding the Minimum Value Next, we need to identify the minimum value in the data set: 17.1, 14.8, 12.2, 19.1, 19.4, 18.1, 20.6, 12.4, 8.3. The minimum value is 8.3.
Calculating the Range Now, we calculate the range by subtracting the minimum value from the maximum value: R an g e = M a x im u m − M inim u m = 20.6 − 8.3 = 12.3
Final Answer Therefore, the range of the given data set is 12.3.
Examples
Understanding the range of a data set is useful in many real-life situations. For example, in weather forecasting, knowing the range of temperatures for a particular day helps people prepare for the expected conditions. Similarly, in finance, the range of stock prices over a period can indicate the volatility of the stock. In manufacturing, the range of product dimensions helps ensure quality control.
The range of the given set of data values is calculated by finding the difference between the maximum value (20.6) and the minimum value (8.3). This gives a range of 12.3. Thus, the final answer is 12.3.
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