Central Tendency
Analyze central tendency with mean, median, mode, and quartiles
Enter Data
Separate values with commas
Theory & Formula
Central Tendency
Measures of central tendency describe the center or typical value of a dataset. The three main measures are mean, median, and mode.
Mean (Average)
The sum of all values divided by the number of values. The mean is sensitive to outliers.
\(\bar{x} = \frac{1}{n} \sum_{i=1}^{n} x_i = \frac{x_1 + x_2 + ... + x_n}{n}\)
Median (Middle Value)
The middle value when data is arranged in order. The median is resistant to outliers.
For odd number of values: the middle value: \(\text{Median} = x_{(n+1)/2}\)
For even number of values: average of two middle values: \(\text{Median} = \frac{x_{n/2} + x_{n/2+1}}{2}\)
Mode (Most Frequent)
The value(s) that appear most frequently in the dataset. A dataset can have no mode, one mode, or multiple modes.
Range
The difference between the maximum and minimum values, showing the spread of the data.
\(\text{Range} = x_{\max} - x_{\min}\)