Problem 359 Find the mean. $$65,13,48,32,1... [FREE SOLUTION]

91影视

Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2016 Edition

Chapter 5: Problem 359

Find the mean. $$65,13,48,32,19,33$$

Short Answer

Expert verified

The mean is 35.

Step by step solution

List the numbers

The given numbers are 65, 13, 48, 32, 19, 33.

Add the numbers

Sum up all the numbers: \[ 65 + 13 + 48 + 32 + 19 + 33 = 210 \]

Count the numbers

There are 6 numbers in the list.

Divide the sum by the count

Divide the sum by the number of elements to get the mean: \[ \frac{210}{6} = 35 \]

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Key Concepts

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

Mean Calculation

Finding the mean of a set of numbers is a basic statistical measurement that represents the average value.
To find the mean:

First, list the numbers clearly. For example, in our exercise we have: 65, 13, 48, 32, 19, 33.
Next, sum all these numbers together. When you add them up, you get 210.
Then, count how many numbers are in the list. Here, we have 6 numbers.
Finally, divide the sum by the count of the numbers. So, we calculate: $ \frac{210}{6} = 35 $.

This gives us the mean, which is 35.

Basic Statistics

Basic statistics involves collecting, analyzing, and interpreting data. One essential concept is the mean, used to understand the average of a dataset.
The mean provides a central value that helps describe the data as a whole. Here鈥檚 how it fits into the bigger picture:

It helps compare different datasets by providing a single representative number.
It's often used in everyday contexts like calculating average test scores, average temperature, or average cost.
Understanding the mean can also help identify trends and make predictions.

In our example, the mean of the numbers 65, 13, 48, 32, 19, 33 is 35, which gives a good idea of the typical value in this set.

Arithmetic Operations

Arithmetic operations are the building blocks of mathematics and are essential for finding the mean. Here鈥檚 a closer look at the key operations used:

Addition: This is the first step. You need to sum all the numbers in the given list. For example, with the numbers 65, 13, 48, 32, 19, 33, you add them to get 210.
Counting: The next step is to count how many numbers you have added. In this case, there are 6 numbers.
Division: Finally, divide the sum by the count of numbers. Here, you divide 210 by 6, which gives you the mean, 35.

Each of these operations is simple, but they are crucial for accurately calculating the mean. Understanding how to use these operations will help you solve many similar problems in basic statistics and beyond.

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91影视

Find the mean. $$65,13,48,32,19,33$$

Short Answer

Step by step solution

List the numbers

Add the numbers

Count the numbers

Divide the sum by the count

Key Concepts

Mean Calculation

Basic Statistics

Arithmetic Operations

One App. One Place for Learning.

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