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Chapter 5: Problem 357

Find the mean. $$3,8,2,2,5$$

Short Answer

Expert verified
The mean is 4.

Step by step solution

01

- Sum of the numbers

Add all the numbers together: \(3 + 8 + 2 + 2 + 5\). When you add them up, you get \(20\).
02

- Count the numbers

Count how many numbers are in the set. In this case, there are 5 numbers: \(3, 8, 2, 2, 5\).
03

- Divide the sum by the count

Divide the total sum by the number of numbers. That is, \(20 \div 5 = 4\).

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Key Concepts

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

Sum of Numbers
To understand how to calculate the mean, we first need to master the sum of numbers. The 'sum' is simply the result of adding a series of numbers together. In our given set (3, 8, 2, 2, 5), we add each of these numbers step-by-step. When you perform the addition:
  • 3 + 8 = 11
  • 11 + 2 = 13
  • 13 + 2 = 15
  • 15 + 5 = 20
So, the sum of the numbers is 20. Calculating the sum correctly is the foundational step in solving for the mean.
Counting Numbers
The next important step is counting the numbers in the set. This might seem straightforward, but it鈥檚 crucial to ensure accuracy.
In our example with the numbers (3, 8, 2, 2, 5), we need to count each individual number included in the set. We get:
  • 3
  • 8
  • 2
  • 2
  • 5
So, we have 5 numbers in total. This count will be essential when we move to the division step to find the mean.
Division in Mathematics
Finally, let's understand the division part. In mathematics, division is about splitting a number into equal parts. To find the mean, we divide the sum of all numbers by the count of those numbers.
Given our set's sum is 20 and the count is 5, we perform the division like so: total sum 20 梅 total count 5 = 4.
This means the mean (or average) of the set (3, 8, 2, 2, 5) is 4. Division is crucial because it tells us the 'average' value that represents our data set accurately.

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