Question

what is the best description of the shape of the data distribution shown? uniform symmetric left - skewed right - skewed

Explanation:

To determine the shape of the data distribution, we analyze the dot plot:

• A uniform distribution has data evenly spread, but here the number of dots (frequency) changes (increases then decreases), so not uniform.
• A symmetric distribution has a mirror - like image around a central point. Looking at the dot plot, the left and right sides of the central area (around the peak) appear to mirror each other in terms of the number of dots at each position.
• A left - skewed distribution has a longer tail on the left, meaning most data is on the right. This is not the case here as the left side does not have a longer tail.
• A right - skewed distribution has a longer tail on the right, meaning most data is on the left. This is also not the case here as the right side does not have a longer tail.

So, the data distribution is symmetric.

Answer:

Symmetric