Question

Calculate median for the given scroes1,5,4,3,2

Answer 1

Answer:

Median for the given scores  is $3$ .

Step-by-step explanation:

To find :  median for the given scores .

Given scores  : $1,5,4,3,2$

Solution :

• According to question we are asked to find median for the given scores .
• Median is the middle number of the the observation in a sorted , ascending or descending order .
• If first  arrange given scores in ascending order , i.e. from smallest to biggest number .
• We get , $1,2,3,4,5$ .
• We know that if number of observations is odd , then number in the middle of observation list is the median .
• Also , we can find the value by taking the value of $( \frac{n + 1}{2}) ^{th}$ term , where $n$ is the number of observation .  
• In  $1,2,3,4,5$   , $n = 5$ .

• Therefore on substituting values we get ,

         $( \frac{5 + 1}{2}) ^{th} \\\\ = (\frac{6}{2} )^{th} \\\\ = (3)^{th}$

•  Here , $3^{rd}$ term is $3$ . Hence , median is $3$. Also we can directly write $3$ as median as it is middle term .