Problem 626 In the following exercises, find... [FREE SOLUTION]

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Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2016 Edition

Chapter 5: Problem 626

In the following exercises, find the median. 41 , 45 , 32 , 60 , 58

Short Answer

Expert verified

Step by step solution

- Arrange the numbers in ascending order

First, organize the given numbers from the smallest to the largest. The given numbers are: 41, 45, 32, 60, 58. Arranging them in ascending order gives us: 32, 41, 45, 58, 60.

- Identify the median

The median is the middle number in a sorted list. After arranging the numbers, we have: 32, 41, 45, 58, 60. The middle number in this list is 45, which is the third number.

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Key Concepts

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

arranging numbers

Arranging numbers is a crucial step in finding the median. Let's break it down: First, you need to list all the numbers you have. In our example, we have: 41, 45, 32, 60, and 58. When arranging these numbers, start by comparing and sorting them from the smallest to the largest. This method ensures that you get the correct order, which is essential for finding the median. In ascending order: 32, 41, 45, 58, 60. This step prevents calculation errors and helps you visualize the data better.

middle value

The concept of the middle value refers to the number that lies in the center of a sorted list. Once you have arranged your numbers in ascending order, finding the median is straightforward. For an odd number of values, like in our example (32, 41, 45, 58, 60), the middle value is the one that falls exactly in the center. With five numbers, the third number, 45, is the median. It is important because it represents the point where half the numbers are smaller and half are larger.

ascending order

Ascending order means arranging numbers from the smallest to the largest. This order is necessary for many mathematical operations, including finding the median. Start by comparing the first number with others, swapping if necessary, until the smallest number is in the first position. Repeat the process for subsequent positions. In our example: 32, 41, 45, 58, 60. An ordered list makes it easier to perform calculations and identify values like the median. Properly ordering your data is a fundamental skill in math.

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91影视

In the following exercises, find the median. 41 , 45 , 32 , 60 , 58

Short Answer

Step by step solution

- Arrange the numbers in ascending order

- Identify the median

Key Concepts

arranging numbers

middle value

ascending order

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