Your answers look correct! Here's a breakdown of why:

1. Median = 8

   • The median is the middle value of the ordered data set. Based on the dotplot, the 8th value (middle position) falls at 8 states.

2. Mean compared to Median

   • The mean is larger than the median because the data is skewed right (a few high values pull the mean upward).

3. Effect of Correcting the Typo (43 → 34)

   • Mean: Smaller → The mean decreases because 34 is less extreme than 43, reducing the overall sum.
   • Median: Same → The middle value in the ordered data set does not change.
   • Standard deviation: Smaller → The spread of the data decreases since 34 is closer to the center than 43.

Would you like a step-by-step explanation on calculating any of these values?

Here are five related questions to deepen your understanding:

1. How do you calculate the median when there are an even number of data points?
2. How does a right-skewed distribution affect measures like the mean and median?
3. What happens to the standard deviation if an extreme value is removed completely?
4. How would the mean and median change if we added more students who visited exactly 8 states?
5. If the typo had been 24 instead of 43, would the mean still decrease?

Tip: The median is resistant to outliers, while the mean is sensitive to extreme values.