What is the meaning of mode and median - Maths - Data Handling

Question

What is the meaning of mode and median

Sathya Mitiran · Accepted Answer

Median
The median of a distribution with a discrete random variable
depends on whether the number of terms in the distribution is even
or odd If the number of terms is odd, then the median is the value
of the term in the middle This is the value such that the number of
terms having values greater than or equal to it is the same as the
number of terms having values less than or equal to it If the
number of terms is even, then the median is the average of the two
terms in the middle, such that the number of terms having values
greater than or equal to it is the same as the number of terms
having values less than or equal to it
The median of a distribution with a continuous random variable
is the value m such that the probability is at least 1/2 (50%) that
a randomly chosen point on the function will be less than or equal
to m, and the probability is at least 1/2 that a randomly chosen
point on the function will be greater than or equal to m
Mode
The mode of a distribution with a discrete random variable is
the value of the term that occurs the most often It is not uncommon
for a distribution with a discrete random variable to have more
than one mode, especially if there are not many terms This happens
when two or more terms occur with equal frequency, and more often
than any of the others
A distribution with two modes is called bimodal A distribution
with three modes is called trimodal The mode of a distribution with
a continuous random variable is the maximum value of the function
As with discrete distributions, there may be more than one mode