Question

The number of televisions owned by the families of the students in Ms. McCormick's class is shown below.
2, 1, 3, 5, 4, 4, 2, 3, 1, 0
3, 2, 1, 4, 5, 2, 1, 3, 2, 1
What is the relative frequency of a student's family owning exactly 2 televisions?
10%
15%
20%
25%

Answer 1

To find the relative frequency of a student's family owning exactly 2 televisions, we first need to count how many families own 2 televisions in the given data.

The provided data is:
- 2, 1, 3, 5, 4, 4, 2, 3, 1, 0
- 3, 2, 1, 4, 5, 2, 1, 3, 2, 1

Now, let's count the number of occurrences of families owning exactly 2 televisions.

From the data, we have:
- From the first line: 2 appears **2 times**.
- From the second line: 2 appears **3 times**.

**Total count of families owning 2 televisions:**
2 (from the first line) + 3 (from the second line) = **5 families**.

Next, we need the total number of families represented in the dataset. There are 10 families in each line, giving us a total of:
10 (first line) + 10 (second line) = **20 families**.

Now we calculate the relative frequency for families with exactly 2 televisions:
\[
\text{Relative Frequency} = \frac{\text{Number of families with 2 televisions}}{\text{Total number of families}} = \frac{5}{20} = 0.25
\]

To express this as a percentage:
\[
0.25 \times 100\% = 25\%
\]

Thus, the relative frequency of a student's family owning exactly 2 televisions is **25%**.