The school cafeteria conducted a survey of randomly selected middle school students to determine students' favorite lunches. Table shows the results of the survey.

Entree, Number of students
Chicken nuggets- 33
Hamburger- 42
Hot dog- 22
Pizza- 50
Spaghetti- 27
Tacos- 22
Other- 4
How many students chose chicken nuggets or hot dogs?
How many students chose spaghetti or tacos?
How many students chose chicken nuggets or pizza?
How many students chose hamburgers or hot dogs?
How many students chose pizza or spaghetti?
Which inference about all middle school students at this school is best supported by the information in the table?

1 answer

To answer the questions based on the given data, we can summarize the number of students who chose each option as follows:

  • Chicken nuggets: 33
  • Hamburger: 42
  • Hot dog: 22
  • Pizza: 50
  • Spaghetti: 27
  • Tacos: 22
  • Other: 4

Now, let's calculate the number of students who chose the specified combinations:

  1. Chicken nuggets or hot dogs:

    • Chicken nuggets: 33
    • Hot dogs: 22
    • Total: \( 33 + 22 = 55 \)
  2. Spaghetti or tacos:

    • Spaghetti: 27
    • Tacos: 22
    • Total: \( 27 + 22 = 49 \)
  3. Chicken nuggets or pizza:

    • Chicken nuggets: 33
    • Pizza: 50
    • Total: \( 33 + 50 = 83 \)
  4. Hamburgers or hot dogs:

    • Hamburgers: 42
    • Hot dogs: 22
    • Total: \( 42 + 22 = 64 \)
  5. Pizza or spaghetti:

    • Pizza: 50
    • Spaghetti: 27
    • Total: \( 50 + 27 = 77 \)

Now we compile the results:

  • Students who chose chicken nuggets or hot dogs: 55
  • Students who chose spaghetti or tacos: 49
  • Students who chose chicken nuggets or pizza: 83
  • Students who chose hamburgers or hot dogs: 64
  • Students who chose pizza or spaghetti: 77

Inference about all middle school students at the school:

The best inference supported by the information in the table might be that pizza is the most popular choice among middle school students, given that it received the highest number of votes (50). Additionally, the data suggests that a significant number of students enjoy a variety of entrees, indicating diverse preferences for lunches among the student body.