Question 10

Question

A)

Use the table to answer the question.

Pencil v. Pen Preference Between 8th Grade Class

Pencil

Pen

TOTAL

Boys

14

36

50

Girls

12

43

55

26

79

105

What is the percentage difference between boys and girls when it comes to pencil preference?

(1 point)

%

15:38

25.94

Answer 1

To calculate the percentage difference in pencil preference between boys and girls, we first need to determine how many boys and girls prefer pencils.

From the table:

• Boys who prefer pencils = 14
• Girls who prefer pencils = 12
• Total boys = 50
• Total girls = 55

Next, we'll find the percentage of boys and girls who prefer pencils:

1. Percentage of boys who prefer pencils: $$\text{Percentage of Boys}=\left(\frac{\text{Boys who prefer pencils}}{\text{Total boys}}\right)\times 100=\left(\frac{14}{50}\right)\times 100=28$$

2. Percentage of girls who prefer pencils: $$\text{Percentage of Girls}=\left(\frac{\text{Girls who prefer pencils}}{\text{Total girls}}\right)\times 100=\left(\frac{12}{55}\right)\times 100\approx 21.82$$

Now, we find the percentage difference between boys and girls:

$$\text{Percentage Difference}=\text{Percentage of Boys}-\text{Percentage of Girls}=28$$

So the percentage difference in pencil preference between boys and girls is approximately 6.18%.

If you're asking for the percentage difference as stated in the options provided (15:38, 25.94), we don't have a direct match in numbers. Therefore, it seems you may want to clarify those options or provide more context on how you're interpreting percentage difference. If you need the absolute difference rather than the comparison against their collective preferences, you may want to clarify.