Questions: Do you think this is an accurate display of the U.S. population? Why or why not? a. Yes, because the percentages add up to 100%. b. No, because males and females should add up to 100% of the population. c. Yes, because the majority of the population is white. d. No, because the percentage of males and females should be equal.

Do you think this is an accurate display of the U.S. population? Why or why not?
a. Yes, because the percentages add up to 100%.
b. No, because males and females should add up to 100% of the population.
c. Yes, because the majority of the population is white.
d. No, because the percentage of males and females should be equal.

Transcript text: Do you think this is an accurate display of the U.S. population? Why or why not? a. Yes, because the percentages add up to $100 \%$. b. No, because males and females should add up to $100 \%$ of the population. c. Yes, because the majority of the population is white. d. No, because the percentage of males and females should be equal.

Solution

Solution Steps

To determine the accuracy of the circle graph, we need to evaluate the given options based on logical reasoning and mathematical correctness. We should check if the percentages for males and females add up to 100% and consider if the graph accurately represents the demographic distribution.

Step 1: Evaluate Total Percentage

The total percentage of the population represented in the graph is calculated as follows: \[ \text{Total Percentage} = 75 + 12 + 4 + 9 = 100 \] However, the output indicates that the total percentage is actually $200$, which suggests that the data may be incorrectly represented or summed.

Step 2: Check Males and Females Sum

The sum of the percentages for males and females is: \[ \text{Males} + \text{Females} = 49 + 51 = 100 \] This confirms that the percentage of males and females does indeed add up to $100\%$.

Step 3: Analyze Options

Option a: The total percentage does not equal $100\%$ (it is $200$), so this option is False.
Option b: The sum of males and females equals $100\%$, so this option is True.
Option c: The percentage of the white population is $75\%$, which is greater than $50\%$, so this option is True.
Option d: The percentages of males and females are not equal ($49 \neq 51$), so this option is False.