Measures of central tendency offer another way to describe raw data. These
measures provide information about the “typical” case to be found in the data.
The mean, median, and mode are the three terms most commonly used to describe
the tendency of data to cluster around the middle of the data set (i.e., “averages”
for the data). The mean and median are used to describe continuous-level data,
while the mode is used to describe both continuous- and nominal-level data.
Because the mean and median may be calculated values, they can be rounded
to the nearest number; however, the mode is never rounded because it is an
actual data point.
Mode
The mode is the easiest measure of central tendency to determine because it is
the most frequently occurring value in a data set. It is the highest tally when
counting and is the highest frequency in a distribution table. Modality refers to
the number of modes found in a data distribution. Data can be amodal (without
a mode), unimodal (with one mode), or bimodal (with two modes). There is
no specific term to indicate when data have more than two modes. The mode
does not mean that a data value occurs more than once in a frequency distribu-
tion because the mode is an actual data point. The mode is not affected by the
existence of any extreme values in the data. Table 13-4 demonstrates how the
13.3 Measures of Central
Tendency
At the end of this section, you will be able to:
‹ Describe measures of central tendency and their uses
KEY TERMS
measures of central
tendency: Measures
(e.g., mean, median,
mode) that provide
information about
the typical case
found in the data
mode: The
most frequently
occurring value in a
data set
modality: The
number of modes
found in a data
distribution
amodal: A data set
that does not have
a mode
unimodal: A data
set with one mode,
such as a normal
distribution
bimodal: A data set
with two modes
Data Points Type of Mode Location of Mode
{0, 1, 2, 3} amodal N/A
{0, 1, 2, 2} unimodal 2
{1, 1, 2, 2} bimodal 1 and 2
{1, 1, 1, 2, 2} unimodal 1
{1, 1, 1, 2, 596} unimodal 1
TABLE 13-4 Mode
13.3 Measures of Central Tendency 337