Certainly! Let's closely examine the data collected by the day care teacher:
[tex]\[
\begin{array}{|c|c|}
\hline \text{Age (in months)} & \text{Number of Diaper Changes} \\
\hline 1 & 9 \\
\hline 3 & 8 \\
\hline 5 & 9 \\
\hline 9 & 8 \\
\hline 11 & 8 \\
\hline 13 & 7 \\
\hline 15 & 9 \\
\hline 17 & 3 \\
\hline 18 & 4 \\
\hline 19 & 1 \\
\hline 20 & 2 \\
\hline 21 & 0 \\
\hline 23 & 0 \\
\hline 24 & 0 \\
\hline
\end{array}
\][/tex]
### Step-by-Step Analysis
1. Data Overview:
- We are given a sample of 14 children.
- The data consists of two variables: age (in months) and the corresponding number of diaper changes per day.
2. Age Distribution:
- Ages in months are: [tex]\(1, 3, 5, 9, 11, 13, 15, 17, 18, 19, 20, 21, 23, 24\)[/tex].
3. Number of Diaper Changes:
- Corresponding diaper changes are: [tex]\(9, 8, 9, 8, 8, 7, 9, 3, 4, 1, 2, 0, 0, 0\)[/tex].
### Detailed Solution
To fully understand and analyze this data, let's organize it clearly:
1. Ages and Corresponding Diaper Changes:
| 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 |
### Observations and Insights
- From the table, we can see that generally, children under a year old (12 months) require more frequent diaper changes, typically between 7 and 9 times a day.
- As the age increases past the first year, specifically around 17 months and above, the number of diaper changes tends to decrease significantly.
- Notably, children aged 21 months and older in our sample show no diaper changes during the observed day.
Through this collection and analysis of data, we can start to see a pattern or trend in how the number of diaper changes might decrease as children grow older. This could be useful for the daycare center in planning resources and schedules for different age groups effectively based on their diaper changing needs.
