Mean, Median, Mode

To simplify large datasets into single, representative values

To increase the number of data points in a dataset

To make data more complex

To eliminate outliers from the dataset

Mean

Median

Mode

Range

80

70

100

60

Uses all data points

Mathematically precise

Easy to calculate

Sensitive to outliers

Arrange the data in order and select the middle value.

Add all the values and divide by the number of values.

Find the value that occurs most frequently.

Arrange the data in order and select the largest value.

It is resistant to outliers.

It uses all data values in its calculation.

It is always the same as the mean.

It is the easiest to calculate for large datasets.

The median only considers the position of values, not their magnitude.

The median is always the average of all values.

The median ignores the order of the data.

The median is affected by outliers.

Works with categorical data

Easy to identify

Not affected by outliers

Requires numerical data

It is always unique for any dataset.

It always represents the center of the data.

It is unstable in small samples.

It has more mathematical properties than the mean.

Use the mean when the data is approximately symmetric and has no significant outliers.

Use the median when the data is skewed or has outliers.

Use the mode when you want to know the most common value in categorical data.

Use the mean when you want a resistant measure of center.

Mean

Median

Mode

Standard deviation