Mode is a most often occurring value in a distribution .
I)The most numerous category
II)For ratio data, often implies that data have been grouped in some way. It can be more or less created by the grouping procedure
III)For theoretical distributions – simply the location of the peak on the frequency distribution.
I)Quick and easy to compute
II)Unaffected by extreme scores unrepresentative
III)Can be used at any level of measurement
II)A given sub group cloud make this measure
Arithmetic average the sum of all values in a distribution divided by the number of cases
I) Center of gravity
II)Even partitions the sum of all measurement among all cases, average of all measures
Advantages and Disadvantages:
I) Crucial for inferential statistics
II) Mean is not very resistant to outliers
III) A “trimmed mean” may be better for descriptive purposes
Arithmetic mean, Harmonic mean, Geometric mean, also f- mean, truncated mean, power mean, weighted mean, etc.
midpoint in the distribution below which half of the cases reside.
I)less useful for inferential purposes
II)more resistant to effects of outliers.
The mean or average of data values is
mean = sum of all data values/ number of data values