Measures of Central Tendency | Business Mathematics and Statistics - B Com PDF Download

 Page 2


? Measures of central tendency are statistical
measures which describe the position of a
distribution.
? They are also called statistics of location, and are
the complement of statistics of dispersion, which
provide information concerning the variance or
distribution of observations.
? In the univariate context, the mean, median and
mode are the most commonly used measures of
central tendency.
? computable values on a distribution that discuss
the behavior of the center of a distribution.
Page 3


? Measures of central tendency are statistical
measures which describe the position of a
distribution.
? They are also called statistics of location, and are
the complement of statistics of dispersion, which
provide information concerning the variance or
distribution of observations.
? In the univariate context, the mean, median and
mode are the most commonly used measures of
central tendency.
? computable values on a distribution that discuss
the behavior of the center of a distribution.
The value or the figure which represents the whole
series is neither the lowest value in the series nor the
highest it lies somewhere between these two extremes.
1. The average represents all the measurements made on
a group, and gives a concise description of the group
as a whole.
2. When two are more groups are measured, the central
tendency provides the basis of comparison between
them.
Page 4


? Measures of central tendency are statistical
measures which describe the position of a
distribution.
? They are also called statistics of location, and are
the complement of statistics of dispersion, which
provide information concerning the variance or
distribution of observations.
? In the univariate context, the mean, median and
mode are the most commonly used measures of
central tendency.
? computable values on a distribution that discuss
the behavior of the center of a distribution.
The value or the figure which represents the whole
series is neither the lowest value in the series nor the
highest it lies somewhere between these two extremes.
1. The average represents all the measurements made on
a group, and gives a concise description of the group
as a whole.
2. When two are more groups are measured, the central
tendency provides the basis of comparison between
them.
Simpson and Kafka defined it as “ A measure of
central tendency is a typical value around which other
figures con gre gat e”
Waugh has expressed “An average stand for the whole
group of which it forms a part yet represents the whol e”.
Page 5


? Measures of central tendency are statistical
measures which describe the position of a
distribution.
? They are also called statistics of location, and are
the complement of statistics of dispersion, which
provide information concerning the variance or
distribution of observations.
? In the univariate context, the mean, median and
mode are the most commonly used measures of
central tendency.
? computable values on a distribution that discuss
the behavior of the center of a distribution.
The value or the figure which represents the whole
series is neither the lowest value in the series nor the
highest it lies somewhere between these two extremes.
1. The average represents all the measurements made on
a group, and gives a concise description of the group
as a whole.
2. When two are more groups are measured, the central
tendency provides the basis of comparison between
them.
Simpson and Kafka defined it as “ A measure of
central tendency is a typical value around which other
figures con gre gat e”
Waugh has expressed “An average stand for the whole
group of which it forms a part yet represents the whol e”.
Arithmetic mean is a mathematical
average and it is the most popular
measures of central tendency. It is
frequently referred to as ‘mean ’ it is obtained by
dividing sum of the values of all observations in
a series (?X ) by the number of items (N)
constituting the series.
Thus, mean of a set of numbers X1, X2, 
X3, ………..Xn  denoted by x
¯ and is defined as