Four thousand students at a school were asked to name their favorite pizza topping. The results were 800 Pepperoni, 1,000 Sausage, 1,200 Mushrooms, 560 Peppers, 240 Onions, and 200 Other. Your friend expresses these results in this circle graph. Your friend made a mistake, however. What is wrong with his graph?
A)
The numbers add up to more than 100%.
Eliminate
B)
The percent for Mushrooms is incorrect.
C)
All the values in the graph are incorrect.
D)
The values for Pepperoni and Peppers are reversed.
No circle graph. Cannot copy and paste here.
To determine what is wrong with your friend's graph, we need to compare the given information with the options provided.
From the given information, we know that 4,000 students were asked to name their favorite pizza topping. Let's calculate the percentages for each topping based on the number of students who chose them:
- Pepperoni: 800/4000 * 100% = 20%
- Sausage: 1000/4000 * 100% = 25%
- Mushrooms: 1200/4000 * 100% = 30%
- Peppers: 560/4000 * 100% = 14%
- Onions: 240/4000 * 100% = 6%
- Other: 200/4000 * 100% = 5%
Now, let's compare these percentages with the options provided:
A) The numbers add up to more than 100%: The percentages for the given data do not add up to more than 100%. Thus, this option is incorrect.
B) The percent for Mushrooms is incorrect: The calculated percentage for Mushrooms is 30%, which matches the given data. Therefore, this option is incorrect.
C) All the values in the graph are incorrect: The calculated percentages match the given data for all the pizza toppings except for Mushroom, so this option is incorrect.
D) The values for Pepperoni and Peppers are reversed: Based on the calculated percentages, the value for Pepperoni is 20%, whereas the value for Peppers is 14%. These percentages do not match the given data. Therefore, this option is correct, and the mistake in your friend's graph is that the values for Pepperoni and Peppers are reversed.
Thus, the correct answer is option D) The values for Pepperoni and Peppers are reversed.