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The histogram below gives the length of service of members of the Department of Biology at a particular university. The classes, in years of service, are 04.9, 59.9, etc., and the vertical axis represents the number of faculty.
What percent of the department faculty have less than 5 years of service?

The histogram provides information about the years of service of biology faculty members, and we need to determine the percentage of faculty with less than 5 years of service.

### Step-by-Step Solution:
1. **Identify the Class Interval**: The interval for "less than 5 years of service" corresponds to the first bar in the histogram, which is labeled as 0 to 4.9 years.
2. **Find the Frequency**: The height of the first bar represents the number of faculty in this category. From the graph, this height is 6.
3. **Total Faculty Count**: We need the total number of faculty. Summing the heights of all bars:
   - First bar (0 to 4.9 years): 6 faculty
   - Second bar (5 to 9.9 years): 5 faculty
   - Third bar (10 to 14.9 years): 5 faculty
   - Fourth bar (15 to 19.9 years): 9 faculty
   - Fifth bar (20 to 24.9 years): 6 faculty
   - Sixth bar (30 to 34.9 years): 11 faculty
   - **Total faculty**: \(6 + 5 + 5 + 9 + 6 + 11 = 42\)

4. **Percentage Calculation**: The percentage of faculty with less than 5 years of service is calculated as:
   \[
   \text{Percentage} = \left( \frac{\text{Number of faculty with less than 5 years}}{\text{Total faculty}} \right) \times 100
   \]
   Substituting the numbers:
   \[
   \text{Percentage} = \left( \frac{6}{42} \right) \times 100 = 14.29\%
   \]

### Answer:
Approximately **14.29%** of the department faculty have less than 5 years of service.

Do you have any further questions or need additional details? 

Here are 5 related questions for deeper exploration:
1. What percentage of faculty have between 10 and 15 years of service?
2. How many faculty members have more than 20 years of service?
3. What is the median years of service for the department based on the histogram?
4. How could the data be represented using a cumulative frequency graph?
5. What insights can be gained by comparing the different bars of the histogram?

**Tip**: When analyzing histograms, always check the total frequency (sum of all bars) before calculating percentages or drawing conclusions about the distribution.

The histogram below gives the length of service of members of the Department of Biology at a particular university. The classes, in years of service, are 04.9, 59.9, etc., and the vertical axis represents the number of faculty. What percent of the department faculty have less than 5 years of service?

Learn how to calculate the percentage of faculty members with less than 5 years of service from a histogram displaying Biology faculty data. This problem covers basic percentage calculations and histogram interpretation, suitable for Grades 8-10.

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