To determine the relative frequency m, we'll first need to calculate the frequency distribution for each state and then calculate the relative frequency for each state as a percentage.

Step 1: Frequency of Each State

Count the occurrences of each state from the client dataTo determine the relative frequency m, we'll first need to calculate the frequency distribution for each state and then calculate the relative frequency for each state as a percentage.

Step 1: Frequency of Each State

Count the occurrences of each state from the client

Step 2: Total Number of Clients

The total number of clients is the sum of all frequencies: $6 + 4 + 2 + 2 + 2 + 2 + 1 = 19$

Step 3: Calculate the Relative Frequency for Each State

The relative frequency for each state is calculated using the formula: $\text{Relative Frequency} = \left(\frac{\text{Frequency of State}}{\text{Total Number of Clients}}\right) \times 100$

Let's calculate this for each state:

• VT: $\frac{6}{19} \times 100 \approx 31.58$
• NH: $\frac{4}{19} \times 100 \approx 21.05$
• MA: $\frac{2}{19} \times 100 \approx 10.53$
• GA: $\frac{2}{19} \times 100 \approx 10.53$
• FL: $\frac{2}{19} \times 100 \approx 10.53$
• AL: $\frac{2}{19} \times 100 \approx 10.53$
• CA: $\frac{1}{19} \times 100 \approx 5.26$

Answer

The value of relative frequency m for each state can be provided by selecting the appropriate state from these calculations, assuming m corresponds to one of these frequencies.

If "m" refers to NH (based on an assumption that "m" might refer to NH's frequency), then: $\text{Relative Frequency of NH} = 21$

Would you like to clarify which state "m" refers to, or should we proceed with this assumption?

Follow-up Questions:

1. How would the relative frequencies change if a new state was added with an additional client?
2. How is relative frequency different from cumulative frequency?
3. Can we determine the cumulative frequency for each state with this data?
4. What would be the mode of the states in this data set?
5. How would we calculate the relative frequency if we were only interested in states with frequencies greater than 2?

Tip: When converting a relative frequency to a percentage, remember to multiply by 100 to obtain the correct percentage value.