Question

Find the median of the data set. 42,090,51,930,53,910,56,630,61,050,61,220

Answer 1

To find the median of the data set, we first need to arrange the numbers in ascending order. The given data set is:

42, 90, 51, 930, 53, 910, 56, 630, 61, 050, 61, 220

Let's organize it properly. The numbers seem to have formatting issues; we'll interpret them as:

- 42
- 90
- 51
- 930
- 53
- 910
- 56
- 630
- 61
- 050 (which is just 50)
- 61
- 220

Arranging these numbers in ascending order:

42, 50, 51, 53, 56, 90, 220, 630, 910, 930

Now, we can count the numbers in the data set. There are **10** numbers.

To find the median of an even number of observations, we take the average of the two middle numbers. The two middle numbers in our ordered set are the 5th and 6th elements:

5th element: **56**
6th element: **90**

Now, we calculate the average:

\[
\text{Median} = \frac{56 + 90}{2} = \frac{146}{2} = 73
\]

Therefore, the median of the data set is **73**.