Use the image to answer the question.
Two number lines extend from 1 to 10 in increments of 1 and are labeled as Number of States Visited, Hiking Club, and Number of States Visited, Swimming Club. The number lines show an abacus-like representation with columns of open circles over the numbers. Above the number line labeled as Number of States Visited, Hiking Club, there are no circles over 1, two circles over 2, three circles over 3, five circles over 4, six circles over 5, five circles over 6, four circles over 7, three circles over 8, two circles over 9, and one circle over 10. Above the number line labeled as Number of States Visited, Swimming Club, there is one circle over 1, two circles over 2, one circle over 3, two circles over 4, two circles over 5, three circles over 6, four circles over 7, five circles over 8, six circles over 9, and six circles over 10.
For a geography project, you have surveyed the people in your hiking club and swimming club to find the number of states they have visited. You make a table and dot plots to show the results. Use the dot plots to compare the shapes and spreads of the dot plots. What conclusions can you draw about the shapes and the spreads?
Looking at the dot plots of the Number of States Visited for the Hiking Club and Swimming Club, we can see that the shape of the dot plot for the Hiking Club is skewed to the right, with more people having visited fewer states and gradually decreasing numbers of people visiting more states. On the other hand, the dot plot for the Swimming Club is more symmetric, with a relatively even spread of people visiting different numbers of states.
In terms of spread, the dot plot for the Hiking Club has a wider range of states visited, ranging from 1 to 10, with the majority of people visiting fewer states. The dot plot for the Swimming Club has a narrower spread, with most people visiting between 6 and 10 states.
Therefore, we can conclude that the Hiking Club has a wider spread of the number of states visited, with a skew to the right indicating that more people have visited fewer states. The Swimming Club has a narrower spread with a more symmetric distribution of people visiting various numbers of states.