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# Difference Between Mean and Average      LIVE
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## What is Mean and Average: Introduction

To explain Mean and Average: This article aims to provide a comprehensive understanding of the difference between mean and average. Mean and average are statistical measures used to describe and summarize data sets. While "mean" and "average" are often used interchangeably, they have distinct definitions and implications in statistical analysis.

It begins by introducing the concept of central tendency in statistics, which is the measure that represents the typical or central value of a data set. Mean and average are two standard measures of central tendency that help to summarize and analyze data.

Mean, also known as the arithmetic mean, is obtained by summing all the values in a data set and dividing the sum by the number of values. It represents the average value of the data set.

Average is a broad term that encompasses different types of measures, including mean. It can refer to the mean, median, mode, or other statistical measures that summarize data. Generally, the average represents a typical value that represents the central tendency of the data.

Furthermore, the article highlights the differences between mean and average. While mean refers explicitly to the arithmetic mean, the average is a more general term encompassing various measures of central tendency. The mean takes into account all the values in the data set, whereas the average can refer to a specific measure that might consider only a subset of values.

The article also discusses the situations where the mean and average might differ. For skewed distributions or data sets with outliers, the mean can be heavily influenced, leading to a significant difference between the mean and other measures of average.

By providing a comprehensive explanation of mean and average, this article aims to clarify the distinctions between these statistical measures and help readers make informed decisions in data analysis and interpretation.

### What is Mean and Average?

The mean and average are both statistical measures used to describe the central tendency of a data set.

The mean, also known as the arithmetic mean, is calculated by summing up all the values in a data set and dividing the sum by the total number of values. It represents the average value of the data set.

On the other hand, the term "average" is a broader concept that encompasses different measures of central tendency, including the mean. Average can refer to the mean, median, mode, or other statistical measures that summarize data.

While the mean specifically refers to the arithmetic mean, average is a more general term that can encompass various measures. The mean considers all the values in the data set, while average can refer to a specific measure that might consider only a subset of values.

It's important to note that in most cases, when people use the term "average," they are referring to the mean. However, depending on the context, average can also refer to other measures like the median or mode.

### Defining Mean

The mean, also known as the arithmetic mean or average, is a statistical measure that represents the central tendency of a data set. It is calculated by summing up all the values in the data set and dividing the sum by the total number of values. The mean provides a measure of the average value of the data set and is widely used in various fields of study.

The mean is widely used in statistics and data analysis to summarize and describe data. It is commonly used to represent the central value around which the data points tend to cluster. However, it is important to note that the mean can be sensitive to extreme values or outliers in the data set, which may affect its accuracy as a measure of central tendency.

### Defining Average

Average is a statistical measure that represents the typical or central value of a data set. It provides a way to summarize and understand the central tendency of a set of values. While the term "average" is often used interchangeably with the mean (arithmetic mean), it can also refer to other measures of central tendency, such as the median or mode.

There are different types of averages commonly used in statistics. The choice of which average to use depends on the nature of the data and the specific objective of the analysis. The mean is widely used when dealing with numerical data and provides a comprehensive measure of central tendency. The median is preferred when there are outliers or when the data is not normally distributed. The mode is useful when looking for the most frequent or common value(s) in the data.

It's important to note that the term "average" is sometimes used loosely in everyday language and can refer to a general sense of a typical value, regardless of the specific statistical measure used.

### Mean and Average Difference

 Sl.No Properties Mean Average 1. Definition The sum of all values divided by the count A measure of central tendency of a data set 2. Calculation (Sum of all values) / (Number of values) Varies depending on the specific measure 3. Sensitivity Sensitive to every value in the data set Varies depending on the specific measure 4. Use Provides an overall average of the data set General term for central tendency measures 5. Common Measure Arithmetic mean Mean (but can also refer to other measures) 6. Effect of Outliers Can be influenced by extreme values Varies depending on the specific measure 7. Data Requirement Requires numerical values Depends on the specific measure being used

### Summary

In summary, the mean and average are measures of central tendency used in statistics to describe the typical or central value of a data set. The mean, also known as the arithmetic mean, is calculated by summing up all the values and dividing by the total count. It provides an overall average value that considers every data point. On the other hand, average is a more general term that encompasses various measures of central tendency, including the mean, median, and mode. The median represents the middle value when the data set is arranged in order, while the mode represents the most frequently occurring value(s). The choice between mean and other measures of average depends on the specific characteristics of the data, such as the presence of outliers or the data distribution. Each measure provides unique insights into the central tendency of the data and is used in different contexts accordingly. Considering the characteristics of mean and average, the mean is a specific type of average that considers all values and is sensitive to outliers. The term "average" encompasses a range of measures, each with its own characteristics and suitability depending on the nature of the data and the analysis objectives.

Last updated date: 26th Sep 2023
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## FAQs on Difference Between Mean and Average

1. What is the difference between mean and average?

The mean specifically refers to the arithmetic mean, calculated by summing up all the values and dividing by the total count. Average is a broader term that encompasses different measures of central tendency, including the mean, median, and mode.

2. When should I use the mean as a measure of central tendency?

The mean is commonly used when dealing with numerical data and provides a balanced representation of the data. It is suitable when the data set is normally distributed and not heavily influenced by outliers.

3. When is the median a better choice than the mean?

The median is preferred when the data set is skewed or has outliers. It is less sensitive to extreme values and provides a better representation of the central value in such cases.

4. What does the mode represent?

The mode represents the value or values that occur most frequently in a data set. It indicates the most common value or peak of the data distribution.

5. Can I calculate the mean or average for a small sample size?

Yes, the mean and other measures of average can be calculated for small sample sizes. However, it's important to note that with smaller samples, the calculated average may have higher variability and may not accurately represent the population.