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Mean, Median and Mode Explained Simply

Mean, median and mode are three basic statistics used to understand the “typical” value in a dataset. They are essential for data analysis, machine learning and business reporting.

What Are Mean, Median and Mode?

When working with data, we often want to understand what is normal, common or typical. Mean, median and mode help us summarise data using a single value.

Measure Simple Meaning Best Used When
Mean The average value Data has no extreme outliers
Median The middle value Data contains outliers
Mode The most common value You want to find the most frequent item

1. Mean

The mean is the average of all values. To calculate it, add all values together and divide by the number of values.

Mean = Sum of values ÷ Number of values

Example

Values: 10, 20, 30

Mean = (10 + 20 + 30) ÷ 3 = 20

The mean is useful when the data is fairly balanced. However, it can be affected by very large or very small values.

2. Median

The median is the middle value after sorting the data from smallest to largest.

Example

Values: 5, 10, 15, 20, 100

Median = 15

The median is often better than the mean when the data contains outliers.

Tip: If there are two middle values, add them together and divide by 2.

3. Mode

The mode is the value that appears most often in a dataset.

Example

Values: 2, 3, 3, 5, 8

Mode = 3

Mode is useful for categorical data such as product names, customer types or most selected options.

Mean vs Median: Why the Difference Matters

Consider the following salaries:

£25,000, £28,000, £30,000, £32,000, £150,000

The mean salary is pulled upward by the very high salary of £150,000. The median gives a better idea of the typical salary in this case.

Measure Result Interpretation
Mean £53,000 Affected by the high outlier
Median £30,000 More realistic typical salary

Why Are These Important in Data Science?

Mean, median and mode are used regularly in data analysis and machine learning.

  • Understanding typical values in a dataset
  • Filling missing values
  • Detecting outliers
  • Summarising business data
  • Preparing data for machine learning models

Python Example

You can calculate mean, median and mode using Pandas:

import pandas as pd

data = [10, 20, 30, 30, 100]

s = pd.Series(data)

print("Mean:", s.mean())
print("Median:", s.median())
print("Mode:", s.mode()[0])

Quick Practice

Find the mean, median and mode for the following data:

4, 6, 6, 8, 10

Answers:

  • Mean = 6.8
  • Median = 6
  • Mode = 6

Key Takeaway

Mean, median and mode help us understand the central tendency of data. The mean gives the average, the median gives the middle value, and the mode gives the most common value.

Simple rule: Use mean for balanced numerical data, median when outliers exist, and mode when finding the most common value.

Want to Learn More?

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