Question

Terri has grades of 75, 87, 96, 75, and 88 prior to the final exam in her math class. What the range of Terri's grades? A. 13 B. 21 C. 84 D. 87

Short answer

The range of Terri's grades is 21.

Step-by-step solution

Identify the Grades

List all the grades that Terri has received: 75, 87, 96, 75, and 88.

Determine the Highest Grade

Find the highest grade from the list of grades. The highest grade is 96.

Determine the Lowest Grade

Find the lowest grade from the list of grades. The lowest grade is 75.

Calculate the Range

Subtract the lowest grade from the highest grade to find the range. Range = Highest Grade - Lowest Grade. Therefore, Range = 96 - 75 = 21.

Key concepts

range calculation

Calculating the range of a set of numbers is a straightforward process that gives us a simple measure of the spread of those numbers. In Terri's case, we have grades of 75, 87, 96, 75, and 88. First, we identify the highest and lowest values in this set. Terri's highest grade is 96 and her lowest grade is 75. The range is calculated by subtracting the lowest grade from the highest grade. So, the range calculation goes like this: \(96 - 75 = 21 \). Therefore, the range of Terri's grades is 21. This tells us that there is a spread of 21 points between her highest and lowest grades.

highest and lowest values

Understanding the concepts of the highest and lowest values is crucial for determining the range. Here's how you can easily identify these values:

• Highest Value: Look through the list of numbers and identify the largest one. In this exercise, among the grades 75, 87, 96, 75, and 88, the highest grade is 96.
• Lowest Value: Similarly, search for the smallest number in the list. For Terri's grades, the lowest grade is 75.

By identifying these two key values, you set the stage for calculating the range. Remember, when finding the highest and lowest values, double-check to ensure you don't miss any numbers. This step is foundational for many types of analysis, beyond just finding the range.

mathematical reasoning

Mathematical reasoning is the process of using logical thinking to solve problems and understand concepts. When we calculate the range, we use reasoning to navigate through different steps effectively.

• Identify the Numbers: First, we list the numbers we need to work with. Here, we have the grades 75, 87, 96, 75, and 88.
• Determine Key Values: We identify the highest value (96) and the lowest value (75).
• Perform Computation: Finally, we calculate the range by subtracting the lowest value from the highest value, resulting in 21.

Each of these steps involves logical thinking and analysis. By following a structured approach, we ensure that we don't miss any important details. This exercise helps build a stronger foundation in problem-solving skills which are essential in math and in everyday situations. Building strong analytical skills is beneficial for tackling more complex problems in the future.