Question

If 3,8,9,10,x 14,16,18,20are in ascending order and their median is 13. calculate the numerical value of x.

Answer 1

numerical value of x = 13 if  3,8,9,10,x 14,16,18,20are in ascending order and their median is 13

Step-by-step explanation:

3, 8, 9, 10, x , 14, 16, 18, 20 are in ascending order

Total Number = 9

Median will be  = (9 + 1)/2 = 5th Number

5th Number = x

=> Median = x

Median = 13

=> x = 13

numerical value of x = 13

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Answer 2

$\huge{\underline{\underline{\red{\mathfrak{Answer :}}}}}$

$\tt Given \begin{cases} \sf{3,8,9,10,x,14,16,18,20 \: are \: in \:ascending \: order.} \\ \sf{Median \: is \: 13.}\end{cases}$

★ To Find :

We have to find value of x.

★ Solution :

Total Numbers(n) is 9.

Note : When our numbers are in the odd then the formula got changed. We will add 1 to the Formula.

So,

$\Large{\star{\underline{\boxed{\sf{Median = \frac{n + 1}{2} term}}}}}$

(Putting Values)

13 = (9 + 1)/2

13 = 5th term

x = 13

$\large{\star{\underline{\boxed{\sf{x = 13}}}}}$

$\rule{200}{2}$

★ Additional information :

• When the Number of terms are even then, Formula = (n)/2
• When the number of terms are odd then, Formula = (n + 1)/2
• For finding the median firstly we have to set then in ascending or descending order.
• When we apply the formula we get the term not the answer.

$\rule{200}{2}$

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