Question

find the median of 2,3,5,7,8​

Answer 1

Step-by-step explanation:

2 , 3 , 5 , 7 , 8

No. of observations = 5 [odd number]

Median = ( n + 1 / 2 )th

Median = ( 5 + 1 / 2 )th

Median = ( 6 / 2 )th

Median = 3

OR

The middle most number is the median = 5

Answer 2

Answer:

Median of given data is $5$ .

Step-by-step explanation:

To find :  median of given data

Given data :  2,3,5,7,8​

Solution:

• According to question we are asked to find median for the given data .
• Median is the middle number of the the observation in a sorted, ascending or descending order.
• If first arrange given data in ascending order , i.e. from smallest to biggest number .
• Ascending order : $2,3,5,7,8$
• 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 $\left(\frac{n+1}{2}\right)^{\text {th }}$ term, where $n$ is the number of observation.
• In , $2,3,5,7,8$ , $n=5$
• Therefore on substituting values we get, $\left(\frac{5+1}{2}\right)^{t h} =\left(\frac{6}{2}\right)^{t h} =(3)^{t h}$
• Here, $3^{r d}$ term is $5$ . Hence, median is $5$ . Also we can directly write $5$ as median as it is middle term.