Fernando asked 150 students at his school whether they would prefer to collect trading cards or rocks as a hobby. This table shows the results.

Question

Trading cards Rocks Total
Boys 45 42 87
Girls 28 35 63
Total 73 77 150
Based on the data in the table, which of the following statements are true? Select all that apply.
boys are more likely to prefer collecting rocks than trading cards, girls are more likely to prefer collecting rocks than trading cards, boys are less likely than girls to prefer collecting trading cards, students are more likely to perfer collecting rocks than trading cards, girls are more likely than boys to prefer collecting rocks.

Answer 1

To evaluate the statements based on the data provided in the table, we can analyze the preferences of boys and girls for both hobbies (trading cards and rocks).

Given Data:

• Boys:

  • Trading Cards: 45
  • Rocks: 42
  • Total: 87

• Girls:

  • Trading Cards: 28
  • Rocks: 35
  • Total: 63

• Overall Total:

  • Trading Cards: 73
  • Rocks: 77
  • Overall Total: 150

Analyzing Statements:

1. Boys are more likely to prefer collecting rocks than trading cards:

   • Boys: 42 prefer rocks, 45 prefer trading cards.
   • False: More boys prefer trading cards (45) than rocks (42).

2. Girls are more likely to prefer collecting rocks than trading cards:

   • Girls: 35 prefer rocks, 28 prefer trading cards.
   • True: More girls prefer rocks (35) than trading cards (28).

3. Boys are less likely than girls to prefer collecting trading cards:

   • Boys: 45 prefer trading cards; Girls: 28 prefer trading cards.
   • False: More boys prefer trading cards (45) than girls (28).

4. Students are more likely to prefer collecting rocks than trading cards:

   • Total for Rocks: 77; Total for Trading Cards: 73.
   • True: More students prefer rocks (77) than trading cards (73).

5. Girls are more likely than boys to prefer collecting rocks:

   • Girls: 35 prefer rocks; Boys: 42 prefer rocks.
   • False: More boys prefer rocks (42) than girls (35).

Conclusion:

The true statements based on the data are:

• Girls are more likely to prefer collecting rocks than trading cards.
• Students are more likely to prefer collecting rocks than trading cards.