Who Is Emmanuel Katto Uganda? His Career, personal life etc.
Calculating central tendency and dispersion measures
1. Chapter Two
The mean, the variance,
and the standard deviation
1. The Mean and other Measures of Central Tendency
The arithmetic mean is the average of a set of numbers. It can be
symbolised as M and its formula is:
N
∑X ∑X
Arithmetic Mean = M = i=1
= (2 :1)
N N
It is the most important of three measures of central tendency.
The other two are the median and the mode. The mode is defined
simply as the value which occurs most frequently. The median is
the value below which exactly fifty percent of cases fall, and above
which are exactly fifty percent of cases. It is the point which splits
the set of scores into two equal parts.
Problems
Find the mean, mode and median of the following sets of scores.
A. 1, 2, 2, 3, 4, 5, 6.
B. 10, 11, 12, 14, 15, 15.
C. 7, 7, 8, 8, 10, 10.