Question

Test scores out of $100$ for a class of $20$ students are as follows:
$93,84,97,98,100,78,86,100,85,92,55,91,90,75,94,83,60,81,95$
Find the interval that contains the median

• A. $81-90$
• B. $71-80$.
• C. $71-90$.
• D. None of these

Answer 1

Answer: (A)

$81-90$

To find the median, we will place the numbers in increasing or decreasing order and find the middle number.

So, test scores in increasing order will be,

$55,60,75,78,81,83,84,86,90,91,92,93,94,95,97,98,100,100$

Now as we can see there are $19$ number so the middle one will be ${10}^{th}$ element i.e. $90$. So, the interval that contains the median is $81-90$.