Question

the teo most frequently used measures off central tendency are the mean and the median. compare these two measurements for the following characteristics . takes every score into ain't? affected by extreme scores? advantages? disadvantages ?

Answer 1

Answer)

When the data is normally distributed, the best central of tendency is mean

By normal distribution, we mean symmetrical data, there are almost equal data points on each side of mean

Advantage :

Mean = (sum of the observations)/number of observations), as mean uses every value in the data, it is a good representative

Disadvantage :

As mean include every point in data, it also includes outliers.

And when the data is skewed, best central of tendency is median

By skewed, we mean there is a long tail on one side of the peak

Median is the middlemost data point

Advantage :

Median is less affected by the outliers

Disadvantage :

It do not uses every value of the data, so sometimes we do not get the exact central value.