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