Question

2through6
2-4, 3-5, 4-6, 5-5, 6-5
What is the median of the data?

(1 point)
Responses

2
2

3
3

4
4

5

Answer 1

To find the median of the given data, we first need to list the values in ascending order. The data is represented in pairs, so we will consider each pair separately.

The pairs given are:
- 2-4 (which includes 2 and 4)
- 3-5 (which includes 3 and 5)
- 4-6 (which includes 4 and 6)
- 5-5 (which includes 5 and 5)
- 6-5 (which includes 6 and 5)

Now, listing all the individual numbers:
- From 2-4: 2, 4
- From 3-5: 3, 5
- From 4-6: 4, 6
- From 5-5: 5, 5
- From 6-5: 6, 5

Combining these values gives us:
2, 4, 3, 5, 4, 6, 5, 5, 6, 5

Now let's compile this list in ascending order:
2, 3, 4, 4, 5, 5, 5, 5, 6, 6

Now we will determine the median. The median is the middle value in an ordered list. Since there are 10 values (an even number), the median will be the average of the 5th and 6th values.

The 5th value is 5 and the 6th value is also 5.

Determine the average:
\[
\text{Median} = \frac{5 + 5}{2} = 5
\]

Therefore, the median of the data is **5**.