Question

What is the median of the dot plot below?
1 through 5
1-3, 2-2, 3-5, 4-4, 5-5

(1 point)
Responses

3
3

3.5
3.5

4
4

5
5

Answer 1

To find the median of a dot plot, we first need to list out the data as represented in the dot plot.

The dot plot indicates the following frequencies:

- 1 appears 3 times: 1, 1, 1
- 2 appears 2 times: 2, 2
- 3 appears 5 times: 3, 3, 3, 3, 3
- 4 appears 4 times: 4, 4, 4, 4
- 5 appears 5 times: 5, 5, 5, 5, 5

Now, we can write the complete list of numbers in increasing order:

1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5

Next, we count the total number of values:

- There are 3 + 2 + 5 + 4 + 5 = 19 total values.

Since 19 is an odd number, the median will be the middle value, which is the 10th number in the ordered list.

Counting the numbers:
1, 1, 1 (3)
2, 2 (5)
3, 3, 3, 3, 3 (10)

The 10th value is **3**.

Therefore, the median of the dot plot is **3**.