Question

Type of Hit Frequency Relative Frequency
single 31
double 9
triple 2
home run 8
There are four types of hits in baseball: singles, doubles, triples, and home runs. The relative frequency table shows Jared’s hits during a baseball season. Use the table to describe the distribution of the dataset. Which statement is true?

(1 point)
Responses

The relative frequency of double is 45%.
The relative frequency of double is 45%.

The relative frequency of single is 62%.
The relative frequency of single is 62%.

The relative frequency of triple is 8%.
The relative frequency of triple is 8%.

The relative frequency of home run is 80%

Answer 1

To find the relative frequencies, we first need to calculate the total number of hits and then divide each type of hit by this total.

1. **Calculate the total number of hits:**

\[
\text{Total hits} = \text{single} + \text{double} + \text{triple} + \text{home run} = 31 + 9 + 2 + 8 = 50
\]

2. **Calculate the relative frequencies:**

- **Relative frequency of single:**

\[
\text{Relative frequency of single} = \frac{31}{50} = 0.62 \, (62\%)
\]

- **Relative frequency of double:**

\[
\text{Relative frequency of double} = \frac{9}{50} = 0.18 \, (18\%)
\]

- **Relative frequency of triple:**

\[
\text{Relative frequency of triple} = \frac{2}{50} = 0.04 \, (4\%)
\]

- **Relative frequency of home run:**

\[
\text{Relative frequency of home run} = \frac{8}{50} = 0.16 \, (16\%)
\]

3. **Summarizing the findings:**
- Relative frequency of single: 62%
- Relative frequency of double: 18%
- Relative frequency of triple: 4%
- Relative frequency of home run: 16%

4. **Evaluating the statements:**
- The relative frequency of double is **not** 45% (it's 18%).
- The relative frequency of single **is** 62%.
- The relative frequency of triple is **not** 8% (it's 4%).
- The relative frequency of home run is **not** 80% (it's 16%).

**The correct statement is: "The relative frequency of single is 62%."**