Question

The data from two random samples of 100 students regarding what pet they own is given below.

This table presents data from two random samples of 100 students each, showing the number of students who own a dog, cat, or bird.
Dog Cat Bird Total
Sample 1 54 38 8 100
Sample 2 39 49 12 100
Based on the two samples, what percentage of students own a bird as a pet?
? %

Answer 1

To find the percentage of students who own a bird as a pet based on the two samples, we first need to determine the total number of students who own a bird in both samples combined.

From the table:

- Number of students who own a bird in Sample 1 = 8
- Number of students who own a bird in Sample 2 = 12

Now, we calculate the total number of students who own a bird:

\[
\text{Total bird owners} = 8 + 12 = 20
\]

Next, we determine the total number of students in both samples combined:

\[
\text{Total students} = 100 \text{ (Sample 1)} + 100 \text{ (Sample 2)} = 200
\]

Now, we can find the percentage of students who own a bird:

\[
\text{Percentage of bird owners} = \left( \frac{\text{Total bird owners}}{\text{Total students}} \right) \times 100
\]

Substituting the numbers:

\[
\text{Percentage of bird owners} = \left( \frac{20}{200} \right) \times 100 = 10\%
\]

Therefore, the percentage of students who own a bird as a pet is **10%**.