Sure, let's solve the problem step by step:
### Step 1: Collect and List the Data
The sales data provided is:
[tex]\[ \text{B F BG GT T F G G F TG F G TB SF F G T} \][/tex]
### Step 2: Split the Data into Individual Items
We break down the sales data into individual items:
[tex]\[ \text{B, F, B, G, G, T, T, F, G, G, F, T, G, F, G, T, B, S, F, G, T} \][/tex]
### Step 3: Count the Frequency of Each Item
We need to count the occurrence of each item to construct a frequency distribution:
- B (baseballs): 3 times
- G (golf balls): 7 times
- T (tennis balls): 5 times
- S (soccer balls): 1 time
- F (footballs): 6 times
### Step 4: Calculate the Total Number of Items
Now, sum up the total number of items sold:
[tex]\[ 3 (\text{B}) + 7 (\text{G}) + 5 (\text{T}) + 1 (\text{S}) + 6 (\text{F}) = 22 \][/tex]
### Step 5: Calculate the Percentage for Golf Balls
To find the percentage of golf balls (G) sold:
[tex]\[ \text{Percentage of G} = \left( \frac{\text{Number of G}}{\text{Total Items}} \right) \times 100 \][/tex]
[tex]\[ = \left( \frac{7}{22} \right) \times 100 \approx 31.82\% \][/tex]
### Answer:
The frequency distribution is:
- Baseballs (B): 3
- Golf balls (G): 7
- Tennis balls (T): 5
- Soccer balls (S): 1
- Footballs (F): 6
The percent for golf balls (G) is:
[tex]\[ 31.8\% \][/tex]
Therefore, the correct answer to the question is:
[tex]\[ \boxed{31.8\%} \][/tex]
