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Level 2

Representation And Summary Of Data - Location


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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