September 26, 2022 # Mean & Mode

The mean is a measure of central tendency that is calculated by finding the average value of a set of numbers. The mean is often used in statistics to find the center of a set of data or to represent a data set as a whole. For example, the mean of a set of grades in a classroom might be used to find the average grade or the mean temperature of a weather report might be used to represent the weather as a whole. In this article, I will introduce you to the concept of mean and discuss when it is useful to use the mean in your work.

In this article, we are going to know what the mean and mode of any given observations are using the mode formula.

## What is Mean in Mathematics?

The mean is a basic measure of central tendency used in many fields. In mathematics, the mean is a measure of the center of a distribution. It is the sum of all the values divided by the number of values. For example, if there are five values, the mean is 5/6 or 0.75.

## How to Find Mean of Positive Numbers?

This section provides you with a list of math examples for you to practice on. You are expected to practice and master the math concepts and sentences provided in the section.

Let’s go through the example of how to calculate the mean of positive numbers:

Example 1: The numbers given are 8, 3, 4, 10, 9. What will be the mean of the given numbers?

Solution: As we know that the first step is to calculate the sum of all the numbers.

Total of the given numbers = 8+3+4+10+9 = 30

The second step is to divide the total by the given number of observations which is equal to 5.

Therefore, the mean of all the given numbers will be equal to 30/5 = 6

## How to Find the Mean of Numbers which are Less than 0?

We’ve seen instances of determining the mean of positive values so far. But what if there are negative numbers on the observation list? We are going to go through various examples

Example 1: The numbers given are 8, 2, -4, 10, 9. What will be the mean of the given numbers?

Solution: As we know that the first step is to calculate the sum of all the numbers.

Total of the given numbers = 8+2-4+10+9 = 25

The second step is to divide the total by the given number of observations which is equal to 5.

Therefore, the mean of all the given numbers will be equal to 25/5 = 5

## What is Mode & Formula to Calculate Mode

The mode in central tendency refers to the way in which data is arranged around the central value. In a mode graph, the data is plotted in the shape of a symmetrical bell or “C”.The mode is the central point around which the data is arranged. The mode is the center or the average value, and all other data is arranged around it.

For a given collection of observations, the mode of any given observation may be defined as the number or the value that appears the most frequently. Therefore, the mode is that number that has the greatest amount of observation surrounding it. As a result, if the data are 2, 3, 3, 8, 5, 9, then the mode of the acquired data will be equal to 3, as it occurred the majority of the time.

You can visit the Cuemath website if you find the topic interesting. 