Mean, Median, Mode, Range Calculator
Note: Spaces after commas are okay.
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Statistical Data Calculator
๐ Overview
This tool calculates the mean, median, mode, and provides other statistical details like minimum, maximum, range, count, and sum.
Enter your data values, separated by commas or spaces. You can also copy and paste lines of data from spreadsheets or text documents.
๐ What are Mean, Median, and Mode?
Mean, median, and mode are measures of central tendency used to understand typical values in a data set.
Learn more about Mean, Median, and Mode
- Mean: The average value of the data set.
- Median: The middle value when the data is arranged in order.
- Mode: The most frequently occurring value in the data set.
โ How to Calculate the Mean
To find the mean:
- Add all data values to get the sum.
- Count the number of values.
- Divide the sum by the count.
Formula: Mean (xฬ) = Sum of values / Count of values
โ๏ธ How to Calculate the Median
Steps to Find the Median
- Arrange the data values from smallest to largest.
- If the number of values is odd, the median is the middle value.
- If the number of values is even, the median is the average of the two middle values.
Example: For the data set [1, 1, 2, 5, 6, 6, 9], the median is 5.
๐ How to Calculate the Mode
The mode is the value that appears most frequently in the data set.
Example: In the data set [1, 1, 2, 5, 6, 6, 9], the modes are 1 and 6.
๐ Additional Calculations
Other useful calculations:
- Interquartile Range (IQR): The difference between the third quartile (Q3) and the first quartile (Q1).
- Outliers: Values outside the range defined by the upper and lower fences.
Potential outliers are calculated as follows:
- Upper Fence: Q3 + 1.5 ร IQR
- Lower Fence: Q1 โ 1.5 ร IQR