Question

The median value of the given data is _______.
$98,75,96,180,270,102,94,100,610,200,75,80$

• A. $100$
• B. $98$
• C. $97$
• D. $99$

Answer 1

The correct option is D $99$

Arranging the given numbers in ascending order, we get
$75,75,80,94,96,98,100,102,180,200,270,610$
Now, number of terms $=12$, which is even.
Therefore, median $=$ Average of ${\left(\frac{12}{2}\right)}^{th}$ and ${(\frac{12}{2}+1)}^{th}$ term
$=$ Average of $6^{th}$ and $7^{th}$ term
$=$ $\left(\frac{98+100}{2}\right)$ $=$ $\frac{198}{2}$ $=99$