Example: Summary statistics for the height data

Table: Summary statistics for the sample of height data in Table 2.1

Statistic	Symbol	Value	Comment
sample size	$n$	11	number of objects/individuals
mean	$\overline{x}$	174.3cm	non-resistant measure of location
standard deviation	$s_x$	7.9cm	non-resistant measure of scale
range	$x_{max}-x_{min}$	29cm	VERY non-resistant measure of scale!
skewness	$b_1$	0.17	non-resistant measure of skewness
kurtosis	$b_2-3$	0.003	non-resistant measure of kurtosis
median	$x_{0.5}$	175cm	resistant measure of location
interquartile range	$x_{0.75}-x_{0.25}$	9cm	resistant measure of scale
Yule-Kendall	$\gamma_{YK}$	0.11	resistant measure of skewness

.