Ex 4: Barplots with ACT averages (Understand Bar plots)
Summarize Data
# A tibble: 38 × 4
soph ACT final_avg n
<fct> <int> <dbl> <int>
1 Non-Sophomore 14 20 1
2 Non-Sophomore 15 24.3 6
3 Non-Sophomore 16 24.2 11
4 Non-Sophomore 17 25.2 13
5 Non-Sophomore 18 25 14
6 Non-Sophomore 19 23.3 23
7 Non-Sophomore 20 25.6 30
8 Non-Sophomore 21 23.2 29
9 Non-Sophomore 22 25.5 28
10 Non-Sophomore 23 26.0 38
# ℹ 28 more rows
Carefully evaluate the three charts – dodged bar chart, stacked bar chart, or faceted bar chart. Pay attention to the value of the y variable too. Which one(s), if any, do you think accurately describe(s) the data? Why do you think so?
The faceted bar chart most accurately describes the data. The stacked chart is misleading because it combines the two groups, making comparisons difficult. The dodged chart is better, but can look crowded. The faceted chart clearly separates sophomore and non-sophomore groups, making it easier to compare final exam scores across ACT levels.
Compare the dodged barplot from Q3.2 with the dodged bar chart from Q4.2. Which chart would you trust and why?
I would trust the dodged bar chart from Q4.2 more because it uses the average final exam scores, not raw totals. The chart in Q3.2 reflects total scores, which can be misleading if group sizes differ. Using averages gives a more accurate comparison of performance across ACT scores and sophomore status.
What would you say about the differences in the patterns of relationships between ACT and final scores shown in the sophomore and non-sophomore groups?
Both groups show a positive relationship between ACT and final scores. Higher ACT scores are generally associated with higher final exam averages. However, the pattern may vary slightly between sophomores and non-sophomores, suggesting that class standing could somewhat influence the strength of the relationship.