(dumb it down a lot and make it seem like an 8th grader wrote it with only three sentences per part/question)

Question

A day care teacher took a random sample of 14 children between the ages of 0 and 24 months and measured the number of diaper changes needed per day. The data that the teacher collected is given in the table.

Age (in months) Number of Diaper Changes
1 9
3 8
5 9
9 8
11 8
13 7
15 9
17 3
18 4
19 1
20 2
21 0
23 0
24 0

Part A: Would a scatter plot or line graph be more appropriate for displaying and describing the relationship between the age and the number of diaper changes? Explain your reasoning. (4 points)

Part B: If you were to add an outlier to the graph, describe the data point and what it represents in the real-world situation. (4 points)

Part C: Describe the type and degree of association between age and number of diaper changes. (4 points)

Answer 1

Part A: A scatter plot would be better than a line graph for this data. This is because a scatter plot shows how the age of the kids relates to the number of diaper changes individually. A line graph connects points in a way that isn’t accurate for this type of data since it doesn’t change evenly.

Part B: An outlier could be a data point where an older child, like 24 months old, needs 10 diaper changes in a day. This point shows a big difference from the others and could suggest there's something unusual about that child, like a medical issue or they are still in diapers for some reason. This helps us see that not all kids follow the same pattern as they get older.

Part C: There is a negative association between age and the number of diaper changes. This means that as kids get older, they usually need fewer diaper changes each day. The relationship seems pretty strong since the numbers go down a lot for older ages.