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formula N/2 to measure median is used in continuous series. While N/2+1 is
taken in individual and discrete series.
and mode can be obtained by graphical method but mean cannot be.
and mode are positional average whereas mean is a mathematical
types of means are mathematical average.
dataset may have no mode and every value in the data set can be a modal value.
multi-modal data set is very difficult to analyse.
method is used to calculate mode when a dataset has more than two modes.
the data i.e. arranging the data in ascending or descending order is the first
step in calculation of median.
computing mean from a grouped data we assume that every value in a class is
equal to the mid-point.
is most affected by extreme value.
determining the average size of readymade garments mode is used.
test is applied on Mode.
is 50th percentile.
uncertain average is mode because you may find many modes in any data
median is simply the value of a middle item.
or mode can be calculated from frequency distribution with open ended class.
Mean cannot be.
the calculation of mean, it is necessary to consider all values.
sum of squared deviations will be minimum if taken from Mean.
like intelligence, honesty and beauty etc. can be measured with median
whereas average size of shoes and readymade garments can be measured by mode.
the maximum frequency is repeated then the mode is calculated by grouping,
is the representative figure of the universe.
mean is mostly affected by extreme values.
and Median are positional average and cab be presented through a graph.
number of deviations below median equals the number of deviations above
of median is calculated on the graph with the help of Ogive.
an open ended distribution, arithmetic mean should be avoided as it is
sum of absolute deviation from median is minimum.
short cut method of computing arithmetic mean, the mean is obtained by adding
mean of the deviation to the assumed mean.
is not necessary that the value of arithmetic mean is present in the
effect of sampling fluctuations will be minimum in an ideal average. An
ideal average is unaffected by extreme values.
analysis of median and mode is not possible.
of more density is concentrated around the mode.