The worksheet asks about the distribution of data points in a dot plot in relation to the mean, specifically:

1. Question: "Where are the majority of the data points located when compared to the mean? Circle the correct answer."

2. Options:

   • (a) To the right of the mean
   • (b) To the left of the mean
   • (c) Equally distributed on both sides of the mean

The dot plot shows a mean of 2.7 and a standard deviation of 2.23. By examining the distribution, we see that the data points appear more clustered around the center, with some points on both sides of the mean. This suggests that option (c), "Equally distributed on both sides of the mean," is likely correct, as the data seems to be symmetrically spread.

Would you like a further explanation on how to interpret this distribution?

Here are 5 related questions that could deepen understanding:

1. How does the standard deviation influence the spread of data around the mean?
2. What does it mean when data is symmetrically distributed around the mean?
3. How would the dot plot look if most points were to the right of the mean?
4. How do outliers affect the mean and standard deviation?
5. What would the impact be if the standard deviation were lower?

Tip: In symmetric distributions, the mean and median are usually close to each other. This can help identify distribution types in data plots.