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Chapter 7: Problem 4

For each set of numbers, find the minimum, the maximum, and the range. $$ 8,7,5,9,6,11 $$

Short Answer

Expert verified
Minimum: 5, Maximum: 11, Range: 6

Step by step solution

01

Identify given numbers

List the given numbers: 8, 7, 5, 9, 6, 11.
02

Find the minimum

Identify the smallest number in the list. The minimum number is 5.
03

Find the maximum

Identify the largest number in the list. The maximum number is 11.
04

Calculate the range

Subtract the minimum number from the maximum number: The range is given by 11 - 5 = 6.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

minimum
The 'minimum' refers to the smallest value in a set of numbers. In our example, we have the following set: 8, 7, 5, 9, 6, 11. Identifying the minimum is straightforward: just find the smallest number.

The smallest number here is 5. This means 5 is our minimum.

Understanding the minimum is essential for various mathematical calculations and comparisons. It helps in determining the lower limit or the least value among a group of numbers.
maximum
The 'maximum' is the largest value in a set of numbers. Just like finding the minimum, spotting the maximum is about identifying the largest number in the set.

In our example, we have the set of numbers: 8, 7, 5, 9, 6, 11. The largest number is what we're looking for.

The number 11 is the maximum here. So, 11 is our highest value in the set.

Finding the maximum is crucial as it helps in understanding the upper limit or the greatest value in a group of numbers.
basic arithmetic
Basic arithmetic involves simple mathematical operations such as addition, subtraction, multiplication, and division. In this example, we focus on subtraction to find the range.

We already identified our minimum (5) and maximum (11). The range is calculated by subtracting the minimum value from the maximum value:

\( 11 - 5 = 6 \).

The range provides a sense of the spread or distribution of numbers in the set. Basic arithmetic is foundational in math and is used in nearly every other math concept.

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