Consider the following data, which indicates the State of a set of clients from a company, and the corresponding Table of Frequencies. Then, answer the following question: 

The value of relative frequency h is: ___

(Note: For relative frequencies, insert the value as a percentage (insert only the number, not the symbol. For instance, insert 20 if your answer is 20%).

ID Number of the client

State

1014

VT

1015

NH

1016

NH

1017

VT

1018

VT

1019

MA

1020

MA

1021

VT

1022

NH

1023

VT

1024

GA

1025

FL

1026

NH

1027

VT

1028

CA

1029

FL

1030

AL

1031

AL

1032

VT

1033

GA



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.

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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.

Consider the following data, which indicates the State of a set of clients from a company, and the corresponding Table of Frequencies. Then, answer the following question: The value of relative frequency h is: ___ (Note: For relative frequencies, insert the value as a percentage (insert only the number, not the symbol. For instance, insert 20 if your answer is 20%).)

Learn how to calculate the relative frequency of client states in a frequency distribution table. This statistical problem provides a step-by-step calculation of relative frequencies based on a sample dataset with states like Vermont (VT), New Hampshire (NH), and others. Suitable for students in Grades 9-10.

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