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Chapter 5: Problem 372

Find the median. $$48,51,46,42,50$$

Short Answer

Expert verified
The median is 48.

Step by step solution

01

Arrange the Numbers in Ascending Order

First, sort the given numbers in ascending order. The numbers given are 48, 51, 46, 42, and 50. Arrange them as follows: 42, 46, 48, 50, 51.
02

Identify the Median Position

Since there are 5 numbers, the median will be the middle number. In this case, since there are 5 numbers, the third number is the median.
03

Determine the Median

Identify the third number. From the ordered list (42, 46, 48, 50, 51), the third number is 48. Thus, the median is 48.

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Key Concepts

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

Ordering Numbers
As a first step to find the median, we need to order the numbers. This means arranging the numbers from the smallest to the largest. In our example, the given numbers are: 48, 51, 46, 42, and 50.

1. Start by identifying the smallest number: 42
2. Next, find the second smallest number: 46
3. Continue this process: 48, then 50, and finally the largest, 51
Our ordered list becomes: 42, 46, 48, 50, 51. Ordering numbers correctly is crucial as it helps us easily find the median by looking at the proper position in the list.
Median
The median is a measure of central tendency that represents the middle value in a list of numbers when arranged in order. It effectively splits the data set into two halves.

Given the ordered list: 42, 46, 48, 50, 51, we determine the median by finding the middle number.
Since we have 5 numbers, the third number is the median. In other words, 48 is the middle number that separates the lower half (42, 46) from the upper half (50, 51).
Therefore, the median here is 48.
For an odd set of numbers, the median is always the middle number. If we had an even set of numbers, we would average the two central numbers to find the median.
Pre-Algebra
Pre-algebra is about understanding fundamental mathematical concepts. One key concept is learning how to handle and operate with different types of numbers.
Understanding how to calculate the median is part of pre-algebra. It involves basic steps like:
  • Arranging numbers in order
  • Identifying the middle number

These steps require logical reasoning and familiarity with order and position.
Such foundational skills in pre-algebra help students grasp more complex mathematical concepts in the future.

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Most popular questions from this chapter

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