Question

What’s the median? 7,9,9,10,10,11,11,11,11,11,12,12,12,12

Answer 1

To find the median of the given data set, we first arrange the numbers in order (they are already in order) and then determine the middle value.

The provided data set is:

7, 9, 9, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12

There are 14 numbers in total, which is an even number. To find the median in this case, we take the average of the two middle numbers.

The middle numbers are the 7th and 8th values:

- 7th value: 11
- 8th value: 11

Now, compute the average of these two values:

\[
\text{Median} = \frac{11 + 11}{2} = \frac{22}{2} = 11
\]

Therefore, the median of the data set is **11**.