Which statement describes the shape of the data distribution in the plot shown below?

Question

The line plot between 0 and 200 has 4 equal segments in increments of 50 and each segment divided into thirds. There is a dot at the first mark after 0, 2 dots at 50, 2 dots between the first and the second mark after 50, 3 dots at 100, 3 dots at the first mark after 100, 3 dots at the second mark after 100, 4 dots at 150, 6 dots at the first mark after 150, and 8 dots at 200.

A.
The distribution is skewed right.


B.
The distribution is symmetric.


C.
The distribution is uniform.


D.
The distribution is skewed

Answer 1

To analyze the distribution based on the description provided, let's examine the arrangement of the dots at the different increments:

1. At 0: 1 dot
2. At 50: 2 dots
3. Between 50 and 100: 2 dots (indicating a low frequency)
4. At 100: 3 dots
5. Between 100 and 150: 3 dots each at both marks (indicating moderate frequency)
6. At 150: 4 dots
7. Between 150 and 200: 6 dots at the first mark after 150 and 8 dots at 200 (indicating a higher frequency at the end)

From the description, we can see that there are fewer dots at the lower end (0 to 100) and more dots as we progress towards the higher values (150 to 200). This suggests that the data is accumulating towards the upper end of the scale, meaning that there is a longer tail on the lower side.

Therefore, the correct interpretation of this distribution is that it is skewed right.

So the answer is: A. The distribution is skewed right.