A small startup company wishes to know how many hours, per week, that its employees spend commuting to and from work. The number of hours for each employee is shown below. Construct a frequency table for grouped data using four classes.

9, 18, 18, 14, 13, 4, 12, 9, 13, 10, 20, 12, 19, 20, 13, 3, 5, 20, 17, 1



To construct a frequency table for the given data set using four classes, follow these steps:

### Step 1: Find the range of the data
The range is the difference between the maximum and minimum values.

- Maximum value: 20
- Minimum value: 1

\[
\text{Range} = 20 - 1 = 19
\]

### Step 2: Determine the class width
We need to divide the data into 4 classes. To find the class width, use the formula:

\[
\text{Class Width} = \frac{\text{Range}}{\text{Number of Classes}} = \frac{19}{4} \approx 4.75
\]

Rounding up to the next whole number gives a class width of **5**.

### Step 3: Determine the class intervals
Starting from the minimum value, the class intervals will be:

1. 1 - 5
2. 6 - 10
3. 11 - 15
4. 16 - 20

### Step 4: Construct the frequency table
Count how many values fall within each class interval:

| Class Interval | Frequency |
|----------------|-----------|
| 1 - 5          | 4         |
| 6 - 10         | 3         |
| 11 - 15        | 7         |
| 16 - 20        | 6         |

### Frequency Table:
| Hours Spent (Class) | Frequency |
|---------------------|-----------|
| 1 - 5               | 4         |
| 6 - 10              | 3         |
| 11 - 15             | 7         |
| 16 - 20             | 6         |

Would you like further details or have any questions?

### Related Questions:
1. How do you calculate the midpoints of each class?
2. What is the relative frequency of each class interval?
3. How do you determine the cumulative frequency for this table?
4. What is the mean number of commuting hours based on grouped data?
5. How do you visualize this data using a histogram?

### Tip:
When constructing grouped data tables, always round the class width up to ensure all data points fit neatly within the intervals.

A small startup company wishes to know how many hours, per week, that its employees spend commuting to and from work. The number of hours for each employee is shown below. Construct a frequency table for grouped data using four classes.

9, 18, 18, 14, 13, 4, 12, 9, 13, 10, 20, 12, 19, 20, 13, 3, 5, 20, 17, 1

Learn how to construct a frequency table for grouped data using commuting hours of employees in a small startup. This problem involves calculating the range, class width, and creating class intervals to display the frequency of hours spent commuting. Suitable for Grades 9-12.

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