\begin{tabular}{l} 4. Find the median: \ $$ 11,12,65,19,90,61 $$ \ \ \hline\end{tabular}

Question

UpStudy AI · Accepted Answer

To find the median of the given set of numbers $$ 11, 12, 65, 19, 90, 61 $$, we will follow these steps:

1. **Sort the numbers in ascending order.**
2. **Determine the median based on the number of values.**

### Step 1: Sort the Numbers
Let's sort the numbers:

- The original set is: $$ 11, 12, 65, 19, 90, 61 $$
- When sorted in ascending order, we get: $$ 11, 12, 19, 61, 65, 90 $$

### Step 2: Determine the Median
Since there are 6 numbers (an even count), the median will be the average of the two middle numbers.

- The two middle numbers in the sorted list are the 3rd and 4th numbers: $$ 19 $$ and $$ 61 $$.

Now, we calculate the median:

$$
\text{Median} = \frac{19 + 61}{2}
$$

Let's perform the calculation:

$$
\text{Median} = \frac{80}{2} = 40
$$

Thus, the median of the given set of numbers is $$ 40 $$.
The median is 40.

\begin{tabular}{l} 4. Find the median: \\ \( 11,12,65,19,90,61 \) \\ \\ \hline\end{tabular}