To determine the relative frequency $h$ in percentage, we first need to understand that relative frequency is calculated as:

$\text{Relative Frequency} = \left( \frac{\text{Frequency of the category}}{\text{Total number of observations}} \right) \times 100$

Step 1: Count the Total Number of Observations

We have the following states listed for each client. There are 20 clients in total.

Step 2: Count the Frequency of Each State

To make this easier, I'll summarize each state's frequency:

• VT (Vermont): 6
• NH (New Hampshire): 4
• MA (Massachusetts): 2
• GA (Georgia): 2
• FL (Florida): 2
• AL (Alabama): 2
• CA (California): 1

Step 3: Calculate Relative Frequencies

Now we can calculate the relative frequency for each state as a percentage:

1. VT: $\left( \frac{6}{20} \right) \times 100 = 30\%$
2. NH: $\left( \frac{4}{20} \right) \times 100 = 20\%$
3. MA: $\left( \frac{2}{20} \right) \times 100 = 10\%$
4. GA: $\left( \frac{2}{20} \right) \times 100 = 10\%$
5. FL: $\left( \frac{2}{20} \right) \times 100 = 10\%$
6. AL: $\left( \frac{2}{20} \right) \times 100 = 10\%$
7. CA: $\left( \frac{1}{20} \right) \times 100 = 5\%$

Answer

The relative frequency $h$ depends on which state is being referred to in the problem. For example:

• If $h$ is for Vermont (VT), then $h = 30$.
• If $h$ is for New Hampshire (NH), then $h = 20$.
• If $h$ is for Massachusetts (MA), Georgia (GA), Florida (FL), or Alabama (AL), then $h = 10$.
• If $h$ is for California (CA), then $h = 5$.

Please specify which state corresponds to $h$ if you need an exact answer.

Would you like further clarification or have questions?

1. How do you calculate relative frequency in other contexts?
2. What would cumulative frequency be in this dataset?
3. How do you interpret relative frequency in data analysis?
4. How could this frequency data be represented visually?
5. How does relative frequency differ from probability?

Tip: Summing all relative frequencies should always equal 100%, which helps verify calculations.