Question

Find the median of first $ 50 $ whole numbers.

Answer 1

Hint: The median is the middle number in a sorted ascending or descending list of number and can be more descriptive of that data set than the average. If there is an odd amount of numbers, the median value is the number that is in the middle with the same amount of numbers below and above.

Complete step-by-step answer:
Step (1): Arrange your numbers in numerical order.
The first $ 50 $ whole numbers are
 $ 0,1,2,3,4,.....,49. $
Step (2): Here, $ n = 50 $ , which is an even number. Where, n is the number of the given number.
Step (3): If you have an odd number divide the number by $ 2 $ and round it up to get the position of the median number.
Step (4): If you have an even number divide the number by $ 2 $ go to the number in that position and average it with the number in the next higher position to get the median,
We know that,
According to the equation
 $ N = 50 $ is even
By median formula
 $ \Rightarrow Median = \dfrac{{\left[ {{{\left( {\dfrac{n}{2}} \right)}^{th}}term + {{\left( {\dfrac{n}{2} + 1} \right)}^{th}}term} \right]}}{2} $
 $ = \dfrac{{{{(25)}^{th}}term + {{(25 + 1)}^{th}}term}}{2} $
 $ = \dfrac{{\left( {{{25}^{th}}term + {{26}^{th}}term} \right)}}{2} $
 $
  = \dfrac{{24 + 25}}{2} \\
  = \dfrac{{49}}{2} \\
  = 24.5 \;
  $
The median of the first $ 50 $ whole number is $ 24.5 $ .
So, the correct answer is “ $ 24.5 $ ”.

Note: The median is sometimes used as opposed to the mean when there are outliers in the sequence that might screw the average of the value. Median is defined as the center value of an ordered list of values. Mean is the ratio of sum of list of values and number of values, order of values does not matter.