Measure of Central Tendency: MEAN

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Measures of
Central
Tendency: MEAN

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The Mean (Arithmetic)
The mean (or average or
arithmetic mean) is the most
popular and most well known
measure of central tendency. The
mean is equal to the sum of all
the values in the data set divided
by the number of values in the
data set.
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Example
10 students in a Graduate School class got
the following scores in a 100 -item test: 70,
72,75, 77, 78, 80, 84, 87, 90, 92. The mean
score of the group of 10 students is the sum
of all their scores divided by 10. The mean,
therefore, is 805/10 equals 80.5. 80.5 is the
average score of the group. There are 6
scores below the average score (mean) of
the group (70, 72, 75, 77, 78, and 80) and
there are 4 scores above the average score
(mean) of the group (84, 87, 90 and 92).
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When to use the Mean
• You should use the mean when.
• The data are interval or ratio scaled
• Many people will use the mean with ordinally
scaled data too.
• And the data are not skewed.
• The mean is preferred because it is sensitive to
ever score.
• If you change one score in the data set, the
mean will change.
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Jhon Lee Claridad
Mariebeth Cariso
Leolyn Digay
Christian Ellorde
Benedict Santor
Mark Angelo Salvador
Trisha Calpe
Joey Taduran