Question

How do you calculate the number in the middle of $11$ and $24$?

Answer 1

Here we will find the middle number in an ordered sequence of numbers. This works by ordering a sequence of numbers in ascending order then determining the number which occurs at the middle of the set.

Complete step-by-step solution:
The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of the data set than the average.
The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values.
If there is an odd amount of numbers, the median value is the number that is in the middle, with the same amount of numbers below and above.
If there is an even amount of numbers in the list, the middle pair must be determined, added together, and divided by two to find the median value.
Here we will calculate in the middle of $11$ and $24$.
The sequence term is $11,12,13,14,15,16,17,18,19,20,21,22,23,24$ . There are an even number of numbers in the list, so we can choose the middle pair and add them together then divided by two to find the median value.
Here the middle pair is $17,18$
Adding this number we get, $17 + 18 = 35$
Now divided by two we get,
Median$= \dfrac{{35}}{2} = 17.5$

Hence the middle value is the average of the two numbers in the middle that is $17.5$

Note: The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values. The median of a sequence can be less affected by outliers than the mean.