R Mean Median and Mode

📊 R Mean, Median, and Mode

In R, Mean, Median, and Mode are measures of central tendency.

They help you understand the center or typical value of a dataset.


 Sample Data



 1. Mean (Average)

The mean is the sum of all values divided by the number of values.

mean(x)

Formula:

Mean=Sum of valuesNumber of values\text{Mean} = \frac{\text{Sum of values}}{\text{Number of values}}

Mean with missing values (NA)



 2. Median (Middle Value)

The median is the middle value when data is sorted.

median(x)

📌

  • If count is odd → middle value

  • If count is even → average of two middle values


 3. Mode (Most Frequent Value)

R does not have a built-in mode function, but we can create one.

Custom Mode Function


 

✔ Returns the most frequent value


 4. Mean, Median, Mode Together


 5. Mean & Median in Data Frames


 


 6. When to Use What?

MeasureBest Used When
MeanData is evenly distributed
MedianData has outliers
ModeCategorical or repeated values

 7. Effect of Outliers


 

📌 Mean affected by outliers, median is not.


📌 Summary

  • Mean → average value

  • Median → middle value

  • Mode → most frequent value

  • Use na.rm = TRUE to ignore missing data

  • Median is best when data has outliers

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