the question number 3 of 5 ,the median is always one of the numbers in a data. true or false please give an explanation

Vikas Verma answered this

**Dear Student,**

The median is a number that is halfway into the set after arranging the data in increasing or decreasing order.

Median = Value of (N+1)/2 th term where N is odd number of observations.

For N is odd median will be one data of given observation.

Median=Average of N/2 th terms and (N/2+1) th term of given data where N is even numbers of observations.

median can not be one of data of given observation.

Example- if find the median of 10,12,14,14,16,16,18,20

here N=8

median=Average of 8/2 th term and (8/2 +1)th term

=average of 4th term and 5th term

=(14+16)/2

=15

here we find 15 is not one of numbers in given data.

so statement is false.

Regards,

The median is a number that is halfway into the set after arranging the data in increasing or decreasing order.

Median = Value of (N+1)/2 th term where N is odd number of observations.

For N is odd median will be one data of given observation.

Median=Average of N/2 th terms and (N/2+1) th term of given data where N is even numbers of observations.

median can not be one of data of given observation.

Example- if find the median of 10,12,14,14,16,16,18,20

here N=8

median=Average of 8/2 th term and (8/2 +1)th term

=average of 4th term and 5th term

=(14+16)/2

=15

here we find 15 is not one of numbers in given data.

so statement is false.

Regards,