Statistics Calculator

Enter numbers separated by commas:

Introduction to Statistics

Statistics is the science of collecting, analyzing, and interpreting data. It is widely used in various fields such as economics, healthcare, business, education, and science. Understanding key statistical measures helps in making informed decisions and identifying patterns in data.

Key Statistical Concepts

1. Mean (Average)

The mean is calculated by adding all values and dividing by the total count.

Formula:

Mean = (Sum of all values) / (Total number of values)

Example: For the dataset (5, 10, 15, 20, 25):

Mean = (5+10+15+20+25) / 5 = 15

2. Median

The median is the middle value in an ordered dataset.

Example:

Dataset (3, 7, 8, 10, 12) → Median = 8
Dataset (3, 7, 8, 10) → Median = (7+8) / 2 = 7.5

3. Mode

The mode is the most frequently occurring value in a dataset.

Example: Dataset (2, 4, 4, 6, 8, 8, 8) → Mode = 8

4. Variance

Variance measures how spread out the numbers are from the mean.

Formula:

Variance = Σ (X - Mean)² / N

5. Standard Deviation

Standard deviation is the square root of variance. It helps determine how much values deviate from the mean.

Formula:

Standard Deviation = sqrt(Σ (X - Mean)² / N)

How to Use the Statistics Calculator

Step 1: Enter Your Data

In the input field below, enter a series of numbers separated by commas. For example:

5, 10, 15, 20, 25

Step 2: Click the "Calculate" Button

After entering your numbers, click the blue "Calculate" button to perform the statistical calculations.

Step 3: View the Results

The calculated values for mean, median, mode, variance, and standard deviation will be displayed instantly below the button.