Question

which is a true statement about the dot plot? number of rolls of a six - sided number cube to get an even number the data is skewed left. there is a cluster at 1, 2, and 3. it never took more than 4 rolls to get an even number. most often it took 3 rolls to get an even number.

Explanation:

Step1: Analyze skewness

The data has more values on the left - side but is not extremely skewed left. However, this option is not correct as it is not a clear - cut left - skewed distribution.

Step2: Check for cluster

There are dots at 1, 2, and 3, but they are not tightly grouped together to form a proper cluster. So this option is incorrect.

Step3: Examine maximum number of rolls

There is a dot at 5, which means it took 5 rolls to get an even number in some cases. So the statement "It never took more than 4 rolls to get an even number" is false.

Step4: Determine most frequent value

The most number of dots are at 2. So it most often took 2 rolls to get an even number, not 3. So this option is false.

Since none of the above statements are true, we need to re - evaluate based on the dot - plot characteristics.
The dot - plot shows that there are dots at 1, 2, 3, 4, and 5. The highest frequency is at 2. But if we consider the overall shape and values:
The data is not symmetric. There are more values on the lower number of rolls side. But the most important thing is that there is a dot at 5, which means it took 5 rolls to get an even number in some cases. So the statement "It never took more than 4 rolls to get an even number" is false.
The data is not really clustered at 1, 2, and 3 in a strict sense. And it did not most often take 3 rolls to get an even number.
The data is not clearly skewed left.
However, looking at the values, we can see that there are dots at 1, 2, 3, 4, and 5. The fact that there is a dot at 5 means that the statement "It never took more than 4 rolls to get an even number" is false.

Answer:

None of the given statements are true.