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Quantitative variable

Associated with numerical values

Qualitative variable

Associated with non-numerical observations

Continuous data

Can take any value within a given range

Discrete data

Can only take specific values in a given range

Grouped data is always treated

As continuous

The mode or modal class

The value in the data set which occurs most often or the most common class

The median

The middle value when the data is ordered

The median in discrete data

n/2; if a whole number find the midpoint of the corresponding term and the term above; if a decimal, round up and pick the corresponding term

The median in continuous data

n/2; use interpolation to find the value of the corresponding term

The mean

The sum of all the data, divided by the number of observations made

Capital sigma, Σ

The sum of

Mode is useful for

Qualitative data, or single or bi modal data

Median is useful for

Quantitative data with outliers as it is not greatly affected by extreme values

Mean is useful for

Quantitative data when a true over-view of all the data is required

The mean of two data sets can be combined

Multiply each mean by the number of data in the set and sum them. Divide the sum by the total number of data

Coding is useful for

Large data values, to make them easier to work with

Calcúlatioms from coded data

Can be reversed by decoding the result returned