To create a percent bar graph for the deck of 20 cards, we will first calculate the percentage of each card type, based on their frequencies.

Here’s the breakdown of the card counts and their percentages:

Card Counts:

• Cards labeled with "1": 9 cards
• Cards labeled with "2": 7 cards
• Cards labeled with "3": 1 card
• Cards labeled with "4": 3 cards

Total Number of Cards:

$9 + 7 + 1 + 3 = 20 \text{ cards}$

Percentages:

• Percentage of cards labeled "1": $\frac{9}{20} \times 100 = 45\%$

• Percentage of cards labeled "2": $\frac{7}{20} \times 100 = 35\%$

• Percentage of cards labeled "3": $\frac{1}{20} \times 100 = 5\%$

• Percentage of cards labeled "4": $\frac{3}{20} \times 100 = 15\%$

Now, we can create a percent bar graph based on these percentages.

Let me generate the bar graph for you. matplotlib.pyplot as plt

Data for the bar graph

labels = ['1', '2', '3', '4'] percentages = [45, 35, 5, 15]

Create the bar graph

fig, ax = plt.subplots(figsize=(8, 5)) ax.bar(labels, percentages, color=['blue', 'green', 'red', 'orange'])

Adding labels and title

ax.set_xlabel('Card Value') ax.set_ylabel('Percentage (%)') ax.set_title('Percent Bar Graph for Cards in the Deck')

Display the percentage values on top of each bar

for i, percentage in enumerate(percentages): ax.text(i, percentage + 1, f'{percentage}%', ha='center', va='bottom', fontsize=12)

Show the plot

plt.tight_layout() plt.show()Here is the percent bar graph for the deck of 20 cards. Each bar represents the percentage of cards labeled with the values "1", "2", "3", and "4".

• 45% of the cards are labeled with "1"
• 35% of the cards are labeled with "2"
• 5% of the cards are labeled with "3"
• 15% of the cards are labeled with "4"

Would you like further explanation on this, or have any questions?

Here are 5 related questions for exploration:

1. How do you calculate percentages for other types of data distributions?
2. What is the difference between a bar graph and a histogram?
3. How would you represent this data using a pie chart?
4. What is the purpose of visualizing data with percent bar graphs?
5. How would you calculate the mode, mean, and median for this set of card labels?

Tip: Percent bar graphs are useful for visualizing the relative frequency of categories, and each bar's length corresponds to the proportion of a given category in the dataset.