Question

What is the median of the data? 2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,6,6,6,6,6

Answer 1

To find the median of a data set, you need to follow these steps:

1. **Order the data**: The data you provided is already ordered:
\(2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6\)

2. **Count the number of data points**: There are 25 values in this data set.

3. **Locate the median position**: Since there are 25 values (an odd number), the median will be the value at the \((n+1)/2\) position, where \(n\) is the number of data points.
\[
\frac{25 + 1}{2} = 13
\]
So the median is the 13th value in the ordered list.

4. **Find the 13th value**: Counting through the list:
- 1st: 2
- 2nd: 2
- 3rd: 2
- 4th: 2
- 5th: 3
- 6th: 3
- 7th: 3
- 8th: 3
- 9th: 3
- 10th: 4
- 11th: 4
- 12th: 4
- 13th: 4

Thus, the 13th value is \(4\).

Therefore, the median of the data set is **4**.