Question

with the data 10,6,25,18,18,24,21, and 10, what is the median?

Answer 1

Answer:

median = 18

Step-by-step explanation:

given

10,6,25,18,18,24,21,10

arrange data in ascending order

6,10,10,18,18,21,24,25

given  n= 8  number

median when n even

[ (n/2) term + (n/2 +1) term ] / 2

(n/2) term = 8/2 = 4 term = 18

n/2 +1 = 8/2 +1 = 5 term  = 18

= ( 18 +18 )/ 2

= 18

Answer 2

Answer:

Median of the given data is $18$.

Step-by-step explanation:

To find : median of the given data .

Given data : $10,6,25,18,18,24,21,$ and $10$ .

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.
• Let first arrange given data in ascending order , i.e. from smallest to biggest number .
• Ascending order : $6,10 , 10, 18,18, 21,24,25$
• Here ,  umber of observation is even i.e. , $n =8$
• Formula to find median for even number of observation is given below:  
• Median = $\frac{(\frac{n}{2}) ^{th \ observation} +(\frac{n}{2} + 1) ^{th \ observation} }{2}$
• Substituting values we get ,

        Median = $\frac{(\frac{8}{2}) ^{th \ observation}+(\frac{8}{2}+1) ^{th \ observation}}{2}$

                     $= \frac{4^{th \ observation} +5^{th\ observation} }{2} \\\\= \frac{18 +18 }{2} \\\\= \frac{36}{2} \\\\= 18$